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1 /*
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2 * Copyright (c) 2003, 2007-11 Matteo Frigo
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3 * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
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4 *
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5 * AVX-512 support implemented by Romain Dolbeau.
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6 * Romain Dolbeau hereby places his modifications in the public domain.
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7 *
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8 * Permission is hereby granted, free of charge, to any person obtaining a copy
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9 * of this software and associated documentation files (the "Software"), to deal
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10 * in the Software without restriction, including without limitation the rights
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11 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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12 * copies of the Software, and to permit persons to whom the Software is
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13 * furnished to do so, subject to the following conditions:
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14 *
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15 * The above copyright notice and this permission notice shall be included in
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16 * all copies or substantial portions of the Software.
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17 *
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18 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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19 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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20 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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21 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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22 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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23 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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24 * THE SOFTWARE.
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25 *
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26 */
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27
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28 #if defined(FFTW_LDOUBLE) || defined(FFTW_QUAD)
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29 #error "AVX-512 vector instructions only works in single or double precision"
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30 #endif
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31
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32 #ifdef FFTW_SINGLE
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33 # define DS(d,s) s /* single-precision option */
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34 # define SUFF(name) name ## _ps
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35 # define SCAL(x) x ## f
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36 #else /* !FFTW_SINGLE */
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37 # define DS(d,s) d /* double-precision option */
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38 # define SUFF(name) name ## _pd
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39 # define SCAL(x) x
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40 #endif /* FFTW_SINGLE */
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41
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42 #define SIMD_SUFFIX _avx512 /* for renaming */
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43 #define VL DS(4, 8) /* SIMD complex vector length */
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44 #define SIMD_VSTRIDE_OKA(x) ((x) == 2)
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45 #define SIMD_STRIDE_OKPAIR SIMD_STRIDE_OK
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46
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47 #if defined(__GNUC__) && !defined(__AVX512F__) /* sanity check */
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48 #error "compiling simd-avx512.h without avx-512f support"
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49 #endif
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50
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51 #if !defined(HAVE_FMA)
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52 #warning "You should probably enable FMAs with --enable-fma for AVX-512"
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53 #endif
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54
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55 #if !defined(HAVE_AVX2)
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56 #warning "You should probably enable AVX2 with --enable-avx2 for AVX-512"
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57 #endif
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58
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59 #include <immintrin.h>
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60
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61 typedef DS(__m512d, __m512) V;
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62
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63 #define VLIT(re, im) DS(SUFF(_mm512_setr)(im, re, im, re, im, re, im, re),SUFF(_mm512_setr)(im, re, im, re, im, re, im, re, im, re, im, re, im, re, im, re))
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64 #define VLIT1(val) SUFF(_mm512_set1)(val)
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65 #define LDK(x) x
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66 #define DVK(var, val) V var = VLIT1(val)
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67 #define VZERO SUFF(_mm512_setzero)()
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68
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69 #define VDUPL(x) DS(_mm512_movedup_pd(x),_mm512_moveldup_ps(x))
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70 #define VDUPH(x) DS(_mm512_unpackhi_pd(x, x),_mm512_movehdup_ps(x))
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71 #define FLIP_RI(x) SUFF(_mm512_shuffle)(x, x, DS(0x55,0xB1))
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72 #define VCONJ(x) SUFF(_mm512_fmsubadd)(VZERO, VZERO, x)
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73 static inline V VBYI(V x)
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74 {
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75 return FLIP_RI(VCONJ(x));
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76 }
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77
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78 #define VADD(a,b) SUFF(_mm512_add)(a,b)
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79 #define VSUB(a,b) SUFF(_mm512_sub)(a,b)
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80 #define VMUL(a,b) SUFF(_mm512_mul)(a,b)
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81 #define VFMA(a, b, c) SUFF(_mm512_fmadd)(a, b, c)
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82 #define VFMS(a, b, c) SUFF(_mm512_fmsub)(a, b, c)
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83 #define VFNMS(a, b, c) SUFF(_mm512_fnmadd)(a, b, c)
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84 #define VFMAI(b, c) SUFF(_mm512_fmaddsub)(VLIT1(1.), c, FLIP_RI(b))
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85 #define VFNMSI(b, c) SUFF(_mm512_fmsubadd)(VLIT1(1.), c, FLIP_RI(b))
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86 #define VFMACONJ(b,c) SUFF(_mm512_fmsubadd)(VLIT1(1.), c, b)
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87 #define VFMSCONJ(b,c) SUFF(_mm512_fmsubadd)(VLIT1(-1.), c, b)
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88 #define VFNMSCONJ(b,c) SUFF(_mm512_fmaddsub)(VLIT1(1.), c, b)
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89
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90 static inline V LDA(const R *x, INT ivs, const R *aligned_like) {
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91 (void)aligned_like; /* UNUSED */
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92 (void)ivs; /* UNUSED */
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93 return SUFF(_mm512_load)(x);
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94 }
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95 static inline void STA(R *x, V v, INT ovs, const R *aligned_like) {
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96 (void)aligned_like; /* UNUSED */
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97 (void)ovs; /* UNUSED */
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98 SUFF(_mm512_store)(x, v);
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99 }
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100
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101 #if FFTW_SINGLE
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102
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103 static inline V LDu(const R *x, INT ivs, const R *aligned_like)
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104 {
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105 (void)aligned_like; /* UNUSED */
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106 __m512i index = _mm512_set_epi32(7 * ivs + 1, 7 * ivs,
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107 6 * ivs + 1, 6 * ivs,
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108 5 * ivs + 1, 5 * ivs,
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109 4 * ivs + 1, 4 * ivs,
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110 3 * ivs + 1, 3 * ivs,
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111 2 * ivs + 1, 2 * ivs,
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112 1 * ivs + 1, 1 * ivs,
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113 0 * ivs + 1, 0 * ivs);
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114
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115 return _mm512_i32gather_ps(index, x, 4);
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116 }
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117
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118 static inline void STu(R *x, V v, INT ovs, const R *aligned_like)
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119 {
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120 (void)aligned_like; /* UNUSED */
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121 __m512i index = _mm512_set_epi32(7 * ovs + 1, 7 * ovs,
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122 6 * ovs + 1, 6 * ovs,
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123 5 * ovs + 1, 5 * ovs,
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124 4 * ovs + 1, 4 * ovs,
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125 3 * ovs + 1, 3 * ovs,
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126 2 * ovs + 1, 2 * ovs,
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127 1 * ovs + 1, 1 * ovs,
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128 0 * ovs + 1, 0 * ovs);
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129
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130 _mm512_i32scatter_ps(x, index, v, 4);
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131 }
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132
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133 #else /* !FFTW_SINGLE */
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134
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135 static inline V LDu(const R *x, INT ivs, const R *aligned_like)
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136 {
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137 (void)aligned_like; /* UNUSED */
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138 __m256i index = _mm256_set_epi32(3 * ivs + 1, 3 * ivs,
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139 2 * ivs + 1, 2 * ivs,
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140 1 * ivs + 1, 1 * ivs,
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141 0 * ivs + 1, 0 * ivs);
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142
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143 return _mm512_i32gather_pd(index, x, 8);
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144 }
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145
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146 static inline void STu(R *x, V v, INT ovs, const R *aligned_like)
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147 {
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148 (void)aligned_like; /* UNUSED */
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149 __m256i index = _mm256_set_epi32(3 * ovs + 1, 3 * ovs,
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150 2 * ovs + 1, 2 * ovs,
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151 1 * ovs + 1, 1 * ovs,
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152 0 * ovs + 1, 0 * ovs);
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153
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154 _mm512_i32scatter_pd(x, index, v, 8);
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155 }
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156
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157 #endif /* FFTW_SINGLE */
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158
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159 #define LD LDu
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160 #define ST STu
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161
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162 #ifdef FFTW_SINGLE
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163 #define STM2(x, v, ovs, a) ST(x, v, ovs, a)
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164 #define STN2(x, v0, v1, ovs) /* nop */
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165
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166 static inline void STM4(R *x, V v, INT ovs, const R *aligned_like)
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167 {
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168 (void)aligned_like; /* UNUSED */
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169 __m512i index = _mm512_set_epi32(15 * ovs, 14 * ovs,
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170 13 * ovs, 12 * ovs,
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171 11 * ovs, 10 * ovs,
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172 9 * ovs, 8 * ovs,
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173 7 * ovs, 6 * ovs,
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174 5 * ovs, 4 * ovs,
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175 3 * ovs, 2 * ovs,
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176 1 * ovs, 0 * ovs);
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177
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178 _mm512_i32scatter_ps(x, index, v, 4);
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179 }
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180 #define STN4(x, v0, v1, v2, v3, ovs) /* no-op */
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181 #else /* !FFTW_SINGLE */
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182 #define STM2(x, v, ovs, a) ST(x, v, ovs, a)
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183 #define STN2(x, v0, v1, ovs) /* nop */
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184
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185 static inline void STM4(R *x, V v, INT ovs, const R *aligned_like)
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186 {
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187 (void)aligned_like; /* UNUSED */
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188 __m256i index = _mm256_set_epi32(7 * ovs, 6 * ovs,
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189 5 * ovs, 4 * ovs,
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190 3 * ovs, 2 * ovs,
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191 1 * ovs, 0 * ovs);
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192
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193 _mm512_i32scatter_pd(x, index, v, 8);
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194 }
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195 #define STN4(x, v0, v1, v2, v3, ovs) /* no-op */
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196 #endif /* FFTW_SINGLE */
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197
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198 static inline V VZMUL(V tx, V sr)
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199 {
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200 /* V tr = VDUPL(tx); */
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201 /* V ti = VDUPH(tx); */
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202 /* tr = VMUL(sr, tr); */
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203 /* sr = VBYI(sr); */
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204 /* return VFMA(ti, sr, tr); */
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205 return SUFF(_mm512_fmaddsub)(sr, VDUPL(tx), VMUL(FLIP_RI(sr), VDUPH(tx)));
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206 }
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207
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208 static inline V VZMULJ(V tx, V sr)
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209 {
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210 /* V tr = VDUPL(tx); */
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211 /* V ti = VDUPH(tx); */
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212 /* tr = VMUL(sr, tr); */
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213 /* sr = VBYI(sr); */
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214 /* return VFNMS(ti, sr, tr); */
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215 return SUFF(_mm512_fmsubadd)(sr, VDUPL(tx), VMUL(FLIP_RI(sr), VDUPH(tx)));
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216 }
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217
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218 static inline V VZMULI(V tx, V sr)
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219 {
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220 V tr = VDUPL(tx);
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221 V ti = VDUPH(tx);
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222 ti = VMUL(ti, sr);
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223 sr = VBYI(sr);
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224 return VFMS(tr, sr, ti);
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225 /* return SUFF(_mm512_addsub)(SUFF(_mm512_fnmadd)(sr, VDUPH(tx), VZERO), VMUL(FLIP_RI(sr), VDUPL(tx))); */
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226 }
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227
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228 static inline V VZMULIJ(V tx, V sr)
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229 {
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230 /* V tr = VDUPL(tx); */
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231 /* V ti = VDUPH(tx); */
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232 /* ti = VMUL(ti, sr); */
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233 /* sr = VBYI(sr); */
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234 /* return VFMA(tr, sr, ti); */
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235 return SUFF(_mm512_fmaddsub)(sr, VDUPH(tx), VMUL(FLIP_RI(sr), VDUPL(tx)));
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236 }
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237
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238 /* twiddle storage #1: compact, slower */
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239 #ifdef FFTW_SINGLE
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240 # define VTW1(v,x) {TW_CEXP, v, x}, {TW_CEXP, v+1, x}, {TW_CEXP, v+2, x}, {TW_CEXP, v+3, x}, {TW_CEXP, v+4, x}, {TW_CEXP, v+5, x}, {TW_CEXP, v+6, x}, {TW_CEXP, v+7, x}
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241 #else /* !FFTW_SINGLE */
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242 # 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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243 #endif /* FFTW_SINGLE */
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244 #define TWVL1 (VL)
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245
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246 static inline V BYTW1(const R *t, V sr)
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247 {
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248 return VZMUL(LDA(t, 2, t), sr);
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249 }
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250
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251 static inline V BYTWJ1(const R *t, V sr)
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252 {
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253 return VZMULJ(LDA(t, 2, t), sr);
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254 }
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255
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256 /* twiddle storage #2: twice the space, faster (when in cache) */
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257 #ifdef FFTW_SINGLE
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258 # define VTW2(v,x) \
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259 {TW_COS, v , x}, {TW_COS, v , x}, {TW_COS, v+1, x}, {TW_COS, v+1, x}, \
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260 {TW_COS, v+2, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, {TW_COS, v+3, x}, \
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261 {TW_COS, v+4, x}, {TW_COS, v+4, x}, {TW_COS, v+5, x}, {TW_COS, v+5, x}, \
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262 {TW_COS, v+6, x}, {TW_COS, v+6, x}, {TW_COS, v+7, x}, {TW_COS, v+7, x}, \
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263 {TW_SIN, v , -x}, {TW_SIN, v , x}, {TW_SIN, v+1, -x}, {TW_SIN, v+1, x}, \
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264 {TW_SIN, v+2, -x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, -x}, {TW_SIN, v+3, x}, \
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265 {TW_SIN, v+4, -x}, {TW_SIN, v+4, x}, {TW_SIN, v+5, -x}, {TW_SIN, v+5, x}, \
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266 {TW_SIN, v+6, -x}, {TW_SIN, v+6, x}, {TW_SIN, v+7, -x}, {TW_SIN, v+7, x}
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267 #else /* !FFTW_SINGLE */
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268 # define VTW2(v,x) \
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269 {TW_COS, v , x}, {TW_COS, v , x}, {TW_COS, v+1, x}, {TW_COS, v+1, x}, \
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270 {TW_COS, v+2, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, {TW_COS, v+3, x}, \
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271 {TW_SIN, v , -x}, {TW_SIN, v , x}, {TW_SIN, v+1, -x}, {TW_SIN, v+1, x}, \
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272 {TW_SIN, v+2, -x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, -x}, {TW_SIN, v+3, x}
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273 #endif /* FFTW_SINGLE */
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274 #define TWVL2 (2 * VL)
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275
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276 static inline V BYTW2(const R *t, V sr)
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277 {
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278 const V *twp = (const V *)t;
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279 V si = FLIP_RI(sr);
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280 V tr = twp[0], ti = twp[1];
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281 /* V tr = LD(t, 2, t), ti = LD(t + VL, 2, t + VL); */
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282 return VFMA(tr, sr, VMUL(ti, si));
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283 }
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284
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285 static inline V BYTWJ2(const R *t, V sr)
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286 {
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287 const V *twp = (const V *)t;
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288 V si = FLIP_RI(sr);
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289 V tr = twp[0], ti = twp[1];
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290 /* V tr = LD(t, 2, t), ti = LD(t + VL, 2, t + VL); */
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291 return VFNMS(ti, si, VMUL(tr, sr));
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292 }
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293
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294 /* twiddle storage #3 */
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295 #define VTW3(v,x) VTW1(v,x)
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296 #define TWVL3 TWVL1
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297
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298 /* twiddle storage for split arrays */
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299 #ifdef FFTW_SINGLE
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300 # define VTWS(v,x) \
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301 {TW_COS, v , x}, {TW_COS, v+1 , x}, {TW_COS, v+2 , x}, {TW_COS, v+3 , x}, \
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302 {TW_COS, v+4 , x}, {TW_COS, v+5 , x}, {TW_COS, v+6 , x}, {TW_COS, v+7 , x}, \
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303 {TW_COS, v+8 , x}, {TW_COS, v+9 , x}, {TW_COS, v+10, x}, {TW_COS, v+11, x}, \
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304 {TW_COS, v+12, x}, {TW_COS, v+13, x}, {TW_COS, v+14, x}, {TW_COS, v+15, x}, \
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305 {TW_SIN, v , x}, {TW_SIN, v+1 , x}, {TW_SIN, v+2 , x}, {TW_SIN, v+3 , x}, \
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306 {TW_SIN, v+4 , x}, {TW_SIN, v+5 , x}, {TW_SIN, v+6 , x}, {TW_SIN, v+7 , x}, \
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307 {TW_SIN, v+8 , x}, {TW_SIN, v+9 , x}, {TW_SIN, v+10, x}, {TW_SIN, v+11, x}, \
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308 {TW_SIN, v+12, x}, {TW_SIN, v+13, x}, {TW_SIN, v+14, x}, {TW_SIN, v+15, x}
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309 #else /* !FFTW_SINGLE */
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310 # define VTWS(v,x) \
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311 {TW_COS, v , x}, {TW_COS, v+1, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, \
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312 {TW_COS, v+4, x}, {TW_COS, v+5, x}, {TW_COS, v+6, x}, {TW_COS, v+7, x}, \
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313 {TW_SIN, v , x}, {TW_SIN, v+1, x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, x}, \
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314 {TW_SIN, v+4, x}, {TW_SIN, v+5, x}, {TW_SIN, v+6, x}, {TW_SIN, v+7, x}
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315 #endif /* FFTW_SINGLE */
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316 #define TWVLS (2 * VL)
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317
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318 #define VLEAVE() /* nothing */
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319
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320 #include "simd-common.h"
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