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2 | pj | 1 | /* |
2 | * Copyright (c) 1997-1999 Massachusetts Institute of Technology |
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3 | * |
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4 | * This program is free software; you can redistribute it and/or modify |
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5 | * it under the terms of the GNU General Public License as published by |
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6 | * the Free Software Foundation; either version 2 of the License, or |
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7 | * (at your option) any later version. |
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8 | * |
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9 | * This program is distributed in the hope that it will be useful, |
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10 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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11 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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12 | * GNU General Public License for more details. |
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13 | * |
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14 | * You should have received a copy of the GNU General Public License |
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15 | * along with this program; if not, write to the Free Software |
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16 | * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA |
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17 | * |
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18 | */ |
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19 | |||
20 | /* This file was automatically generated --- DO NOT EDIT */ |
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21 | /* Generated on Tue May 18 13:56:04 EDT 1999 */ |
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22 | |||
107 | pj | 23 | #include <fftw-int.h> |
24 | #include <fftw.h> |
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2 | pj | 25 | |
26 | /* Generated by: ./genfft -magic-alignment-check -magic-twiddle-load-all -magic-variables 4 -magic-loopi -hc2hc-backward 8 */ |
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27 | |||
28 | /* |
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29 | * This function contains 108 FP additions, 50 FP multiplications, |
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30 | * (or, 90 additions, 32 multiplications, 18 fused multiply/add), |
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31 | * 31 stack variables, and 64 memory accesses |
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32 | */ |
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33 | static const fftw_real K765366864 = FFTW_KONST(+0.765366864730179543456919968060797733522689125); |
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34 | static const fftw_real K1_847759065 = FFTW_KONST(+1.847759065022573512256366378793576573644833252); |
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35 | static const fftw_real K707106781 = FFTW_KONST(+0.707106781186547524400844362104849039284835938); |
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36 | static const fftw_real K1_414213562 = FFTW_KONST(+1.414213562373095048801688724209698078569671875); |
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37 | static const fftw_real K2_000000000 = FFTW_KONST(+2.000000000000000000000000000000000000000000000); |
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38 | |||
39 | /* |
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40 | * Generator Id's : |
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107 | pj | 41 | * $Id: fhb_8.c,v 1.2 2003-03-24 11:14:57 pj Exp $ |
42 | * $Id: fhb_8.c,v 1.2 2003-03-24 11:14:57 pj Exp $ |
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43 | * $Id: fhb_8.c,v 1.2 2003-03-24 11:14:57 pj Exp $ |
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2 | pj | 44 | */ |
45 | |||
46 | void fftw_hc2hc_backward_8(fftw_real *A, const fftw_complex *W, int iostride, int m, int dist) |
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47 | { |
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48 | int i; |
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49 | fftw_real *X; |
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50 | fftw_real *Y; |
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51 | X = A; |
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52 | Y = A + (8 * iostride); |
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53 | { |
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54 | fftw_real tmp107; |
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55 | fftw_real tmp118; |
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56 | fftw_real tmp105; |
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57 | fftw_real tmp116; |
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58 | fftw_real tmp111; |
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59 | fftw_real tmp120; |
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60 | fftw_real tmp115; |
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61 | fftw_real tmp121; |
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62 | fftw_real tmp108; |
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63 | fftw_real tmp112; |
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64 | ASSERT_ALIGNED_DOUBLE(); |
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65 | { |
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66 | fftw_real tmp106; |
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67 | fftw_real tmp117; |
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68 | fftw_real tmp103; |
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69 | fftw_real tmp104; |
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70 | ASSERT_ALIGNED_DOUBLE(); |
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71 | tmp106 = X[2 * iostride]; |
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72 | tmp107 = K2_000000000 * tmp106; |
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73 | tmp117 = Y[-2 * iostride]; |
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74 | tmp118 = K2_000000000 * tmp117; |
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75 | tmp103 = X[0]; |
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76 | tmp104 = X[4 * iostride]; |
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77 | tmp105 = tmp103 + tmp104; |
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78 | tmp116 = tmp103 - tmp104; |
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79 | { |
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80 | fftw_real tmp109; |
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81 | fftw_real tmp110; |
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82 | fftw_real tmp113; |
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83 | fftw_real tmp114; |
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84 | ASSERT_ALIGNED_DOUBLE(); |
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85 | tmp109 = X[iostride]; |
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86 | tmp110 = X[3 * iostride]; |
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87 | tmp111 = K2_000000000 * (tmp109 + tmp110); |
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88 | tmp120 = tmp109 - tmp110; |
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89 | tmp113 = Y[-iostride]; |
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90 | tmp114 = Y[-3 * iostride]; |
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91 | tmp115 = K2_000000000 * (tmp113 - tmp114); |
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92 | tmp121 = tmp114 + tmp113; |
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93 | } |
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94 | } |
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95 | tmp108 = tmp105 + tmp107; |
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96 | X[4 * iostride] = tmp108 - tmp111; |
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97 | X[0] = tmp108 + tmp111; |
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98 | tmp112 = tmp105 - tmp107; |
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99 | X[6 * iostride] = tmp112 + tmp115; |
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100 | X[2 * iostride] = tmp112 - tmp115; |
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101 | { |
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102 | fftw_real tmp119; |
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103 | fftw_real tmp122; |
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104 | fftw_real tmp123; |
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105 | fftw_real tmp124; |
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106 | ASSERT_ALIGNED_DOUBLE(); |
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107 | tmp119 = tmp116 - tmp118; |
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108 | tmp122 = K1_414213562 * (tmp120 - tmp121); |
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109 | X[5 * iostride] = tmp119 - tmp122; |
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110 | X[iostride] = tmp119 + tmp122; |
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111 | tmp123 = tmp116 + tmp118; |
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112 | tmp124 = K1_414213562 * (tmp120 + tmp121); |
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113 | X[3 * iostride] = tmp123 - tmp124; |
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114 | X[7 * iostride] = tmp123 + tmp124; |
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115 | } |
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116 | } |
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117 | X = X + dist; |
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118 | Y = Y - dist; |
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119 | for (i = 2; i < m; i = i + 2, X = X + dist, Y = Y - dist, W = W + 7) { |
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120 | fftw_real tmp29; |
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121 | fftw_real tmp60; |
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122 | fftw_real tmp46; |
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123 | fftw_real tmp56; |
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124 | fftw_real tmp70; |
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125 | fftw_real tmp96; |
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126 | fftw_real tmp82; |
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127 | fftw_real tmp92; |
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128 | fftw_real tmp36; |
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129 | fftw_real tmp57; |
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130 | fftw_real tmp53; |
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131 | fftw_real tmp61; |
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132 | fftw_real tmp73; |
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133 | fftw_real tmp83; |
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134 | fftw_real tmp76; |
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135 | fftw_real tmp84; |
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136 | ASSERT_ALIGNED_DOUBLE(); |
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137 | { |
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138 | fftw_real tmp25; |
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139 | fftw_real tmp68; |
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140 | fftw_real tmp42; |
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141 | fftw_real tmp81; |
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142 | fftw_real tmp28; |
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143 | fftw_real tmp80; |
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144 | fftw_real tmp45; |
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145 | fftw_real tmp69; |
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146 | ASSERT_ALIGNED_DOUBLE(); |
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147 | { |
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148 | fftw_real tmp23; |
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149 | fftw_real tmp24; |
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150 | fftw_real tmp40; |
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151 | fftw_real tmp41; |
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152 | ASSERT_ALIGNED_DOUBLE(); |
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153 | tmp23 = X[0]; |
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154 | tmp24 = Y[-4 * iostride]; |
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155 | tmp25 = tmp23 + tmp24; |
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156 | tmp68 = tmp23 - tmp24; |
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157 | tmp40 = Y[0]; |
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158 | tmp41 = X[4 * iostride]; |
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159 | tmp42 = tmp40 - tmp41; |
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160 | tmp81 = tmp40 + tmp41; |
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161 | } |
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162 | { |
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163 | fftw_real tmp26; |
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164 | fftw_real tmp27; |
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165 | fftw_real tmp43; |
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166 | fftw_real tmp44; |
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167 | ASSERT_ALIGNED_DOUBLE(); |
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168 | tmp26 = X[2 * iostride]; |
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169 | tmp27 = Y[-6 * iostride]; |
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170 | tmp28 = tmp26 + tmp27; |
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171 | tmp80 = tmp26 - tmp27; |
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172 | tmp43 = Y[-2 * iostride]; |
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173 | tmp44 = X[6 * iostride]; |
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174 | tmp45 = tmp43 - tmp44; |
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175 | tmp69 = tmp43 + tmp44; |
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176 | } |
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177 | tmp29 = tmp25 + tmp28; |
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178 | tmp60 = tmp25 - tmp28; |
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179 | tmp46 = tmp42 + tmp45; |
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180 | tmp56 = tmp42 - tmp45; |
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181 | tmp70 = tmp68 - tmp69; |
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182 | tmp96 = tmp68 + tmp69; |
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183 | tmp82 = tmp80 + tmp81; |
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184 | tmp92 = tmp81 - tmp80; |
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185 | } |
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186 | { |
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187 | fftw_real tmp32; |
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188 | fftw_real tmp71; |
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189 | fftw_real tmp49; |
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190 | fftw_real tmp72; |
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191 | fftw_real tmp35; |
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192 | fftw_real tmp74; |
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193 | fftw_real tmp52; |
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194 | fftw_real tmp75; |
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195 | ASSERT_ALIGNED_DOUBLE(); |
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196 | { |
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197 | fftw_real tmp30; |
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198 | fftw_real tmp31; |
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199 | fftw_real tmp47; |
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200 | fftw_real tmp48; |
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201 | ASSERT_ALIGNED_DOUBLE(); |
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202 | tmp30 = X[iostride]; |
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203 | tmp31 = Y[-5 * iostride]; |
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204 | tmp32 = tmp30 + tmp31; |
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205 | tmp71 = tmp30 - tmp31; |
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206 | tmp47 = Y[-iostride]; |
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207 | tmp48 = X[5 * iostride]; |
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208 | tmp49 = tmp47 - tmp48; |
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209 | tmp72 = tmp47 + tmp48; |
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210 | } |
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211 | { |
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212 | fftw_real tmp33; |
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213 | fftw_real tmp34; |
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214 | fftw_real tmp50; |
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215 | fftw_real tmp51; |
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216 | ASSERT_ALIGNED_DOUBLE(); |
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217 | tmp33 = Y[-7 * iostride]; |
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218 | tmp34 = X[3 * iostride]; |
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219 | tmp35 = tmp33 + tmp34; |
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220 | tmp74 = tmp33 - tmp34; |
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221 | tmp50 = Y[-3 * iostride]; |
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222 | tmp51 = X[7 * iostride]; |
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223 | tmp52 = tmp50 - tmp51; |
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224 | tmp75 = tmp50 + tmp51; |
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225 | } |
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226 | tmp36 = tmp32 + tmp35; |
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227 | tmp57 = tmp32 - tmp35; |
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228 | tmp53 = tmp49 + tmp52; |
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229 | tmp61 = tmp52 - tmp49; |
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230 | tmp73 = tmp71 - tmp72; |
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231 | tmp83 = tmp71 + tmp72; |
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232 | tmp76 = tmp74 - tmp75; |
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233 | tmp84 = tmp74 + tmp75; |
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234 | } |
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235 | X[0] = tmp29 + tmp36; |
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236 | Y[-7 * iostride] = tmp46 + tmp53; |
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237 | { |
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238 | fftw_real tmp38; |
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239 | fftw_real tmp54; |
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240 | fftw_real tmp37; |
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241 | fftw_real tmp39; |
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242 | ASSERT_ALIGNED_DOUBLE(); |
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243 | tmp38 = tmp29 - tmp36; |
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244 | tmp54 = tmp46 - tmp53; |
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245 | tmp37 = c_re(W[3]); |
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246 | tmp39 = c_im(W[3]); |
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247 | X[4 * iostride] = (tmp37 * tmp38) + (tmp39 * tmp54); |
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248 | Y[-3 * iostride] = (tmp37 * tmp54) - (tmp39 * tmp38); |
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249 | } |
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250 | { |
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251 | fftw_real tmp64; |
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252 | fftw_real tmp66; |
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253 | fftw_real tmp63; |
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254 | fftw_real tmp65; |
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255 | ASSERT_ALIGNED_DOUBLE(); |
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256 | tmp64 = tmp57 + tmp56; |
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257 | tmp66 = tmp60 + tmp61; |
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258 | tmp63 = c_re(W[1]); |
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259 | tmp65 = c_im(W[1]); |
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260 | Y[-5 * iostride] = (tmp63 * tmp64) - (tmp65 * tmp66); |
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261 | X[2 * iostride] = (tmp65 * tmp64) + (tmp63 * tmp66); |
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262 | } |
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263 | { |
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264 | fftw_real tmp58; |
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265 | fftw_real tmp62; |
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266 | fftw_real tmp55; |
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267 | fftw_real tmp59; |
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268 | ASSERT_ALIGNED_DOUBLE(); |
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269 | tmp58 = tmp56 - tmp57; |
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270 | tmp62 = tmp60 - tmp61; |
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271 | tmp55 = c_re(W[5]); |
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272 | tmp59 = c_im(W[5]); |
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273 | Y[-iostride] = (tmp55 * tmp58) - (tmp59 * tmp62); |
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274 | X[6 * iostride] = (tmp59 * tmp58) + (tmp55 * tmp62); |
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275 | } |
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276 | { |
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277 | fftw_real tmp94; |
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278 | fftw_real tmp100; |
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279 | fftw_real tmp98; |
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280 | fftw_real tmp102; |
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281 | fftw_real tmp93; |
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282 | fftw_real tmp97; |
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283 | ASSERT_ALIGNED_DOUBLE(); |
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284 | tmp93 = K707106781 * (tmp73 - tmp76); |
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285 | tmp94 = tmp92 + tmp93; |
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286 | tmp100 = tmp92 - tmp93; |
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287 | tmp97 = K707106781 * (tmp83 + tmp84); |
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288 | tmp98 = tmp96 - tmp97; |
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289 | tmp102 = tmp96 + tmp97; |
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290 | { |
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291 | fftw_real tmp91; |
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292 | fftw_real tmp95; |
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293 | fftw_real tmp99; |
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294 | fftw_real tmp101; |
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295 | ASSERT_ALIGNED_DOUBLE(); |
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296 | tmp91 = c_re(W[2]); |
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297 | tmp95 = c_im(W[2]); |
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298 | Y[-4 * iostride] = (tmp91 * tmp94) - (tmp95 * tmp98); |
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299 | X[3 * iostride] = (tmp95 * tmp94) + (tmp91 * tmp98); |
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300 | tmp99 = c_re(W[6]); |
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301 | tmp101 = c_im(W[6]); |
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302 | Y[0] = (tmp99 * tmp100) - (tmp101 * tmp102); |
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303 | X[7 * iostride] = (tmp101 * tmp100) + (tmp99 * tmp102); |
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304 | } |
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305 | } |
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306 | { |
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307 | fftw_real tmp78; |
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308 | fftw_real tmp88; |
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309 | fftw_real tmp86; |
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310 | fftw_real tmp90; |
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311 | fftw_real tmp77; |
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312 | fftw_real tmp85; |
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313 | ASSERT_ALIGNED_DOUBLE(); |
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314 | tmp77 = K707106781 * (tmp73 + tmp76); |
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315 | tmp78 = tmp70 - tmp77; |
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316 | tmp88 = tmp70 + tmp77; |
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317 | tmp85 = K707106781 * (tmp83 - tmp84); |
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318 | tmp86 = tmp82 - tmp85; |
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319 | tmp90 = tmp82 + tmp85; |
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320 | { |
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321 | fftw_real tmp67; |
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322 | fftw_real tmp79; |
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323 | fftw_real tmp87; |
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324 | fftw_real tmp89; |
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325 | ASSERT_ALIGNED_DOUBLE(); |
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326 | tmp67 = c_re(W[4]); |
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327 | tmp79 = c_im(W[4]); |
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328 | X[5 * iostride] = (tmp67 * tmp78) + (tmp79 * tmp86); |
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329 | Y[-2 * iostride] = (tmp67 * tmp86) - (tmp79 * tmp78); |
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330 | tmp87 = c_re(W[0]); |
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331 | tmp89 = c_im(W[0]); |
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332 | X[iostride] = (tmp87 * tmp88) + (tmp89 * tmp90); |
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333 | Y[-6 * iostride] = (tmp87 * tmp90) - (tmp89 * tmp88); |
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334 | } |
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335 | } |
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336 | } |
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337 | if (i == m) { |
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338 | fftw_real tmp3; |
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339 | fftw_real tmp7; |
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340 | fftw_real tmp15; |
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341 | fftw_real tmp20; |
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342 | fftw_real tmp6; |
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343 | fftw_real tmp12; |
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344 | fftw_real tmp10; |
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345 | fftw_real tmp21; |
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346 | fftw_real tmp19; |
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347 | fftw_real tmp22; |
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348 | ASSERT_ALIGNED_DOUBLE(); |
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349 | { |
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350 | fftw_real tmp1; |
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351 | fftw_real tmp2; |
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352 | fftw_real tmp13; |
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353 | fftw_real tmp14; |
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354 | ASSERT_ALIGNED_DOUBLE(); |
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355 | tmp1 = X[0]; |
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356 | tmp2 = X[3 * iostride]; |
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357 | tmp3 = tmp1 + tmp2; |
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358 | tmp7 = tmp1 - tmp2; |
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359 | tmp13 = Y[0]; |
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360 | tmp14 = Y[-3 * iostride]; |
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361 | tmp15 = tmp13 + tmp14; |
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362 | tmp20 = tmp13 - tmp14; |
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363 | } |
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364 | { |
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365 | fftw_real tmp4; |
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366 | fftw_real tmp5; |
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367 | fftw_real tmp8; |
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368 | fftw_real tmp9; |
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369 | ASSERT_ALIGNED_DOUBLE(); |
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370 | tmp4 = X[2 * iostride]; |
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371 | tmp5 = X[iostride]; |
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372 | tmp6 = tmp4 + tmp5; |
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373 | tmp12 = tmp4 - tmp5; |
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374 | tmp8 = Y[-2 * iostride]; |
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375 | tmp9 = Y[-iostride]; |
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376 | tmp10 = tmp8 + tmp9; |
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377 | tmp21 = tmp8 - tmp9; |
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378 | } |
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379 | X[0] = K2_000000000 * (tmp3 + tmp6); |
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380 | tmp19 = tmp3 - tmp6; |
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381 | tmp22 = tmp20 - tmp21; |
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382 | X[2 * iostride] = K1_414213562 * (tmp19 - tmp22); |
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383 | X[6 * iostride] = -(K1_414213562 * (tmp19 + tmp22)); |
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384 | X[4 * iostride] = -(K2_000000000 * (tmp21 + tmp20)); |
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385 | { |
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386 | fftw_real tmp11; |
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387 | fftw_real tmp16; |
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388 | fftw_real tmp17; |
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389 | fftw_real tmp18; |
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390 | ASSERT_ALIGNED_DOUBLE(); |
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391 | tmp11 = tmp7 - tmp10; |
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392 | tmp16 = tmp12 + tmp15; |
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393 | X[iostride] = (K1_847759065 * tmp11) - (K765366864 * tmp16); |
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394 | X[5 * iostride] = -((K765366864 * tmp11) + (K1_847759065 * tmp16)); |
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395 | tmp17 = tmp7 + tmp10; |
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396 | tmp18 = tmp15 - tmp12; |
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397 | X[3 * iostride] = (K765366864 * tmp17) - (K1_847759065 * tmp18); |
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398 | X[7 * iostride] = -((K1_847759065 * tmp17) + (K765366864 * tmp18)); |
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399 | } |
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400 | } |
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401 | } |
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402 | |||
403 | static const int twiddle_order[] = |
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404 | {1, 2, 3, 4, 5, 6, 7}; |
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405 | fftw_codelet_desc fftw_hc2hc_backward_8_desc = |
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406 | { |
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407 | "fftw_hc2hc_backward_8", |
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408 | (void (*)()) fftw_hc2hc_backward_8, |
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409 | 8, |
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410 | FFTW_BACKWARD, |
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411 | FFTW_HC2HC, |
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412 | 190, |
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413 | 7, |
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414 | twiddle_order, |
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415 | }; |