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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 * This program is free software; you can redistribute it and/or modify
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6 * it under the terms of the GNU General Public License as published by
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7 * the Free Software Foundation; either version 2 of the License, or
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8 * (at your option) any later version.
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9 *
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10 * This program is distributed in the hope that it will be useful,
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11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 * GNU General Public License for more details.
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14 *
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15 * You should have received a copy of the GNU General Public License
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16 * along with this program; if not, write to the Free Software
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17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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18 *
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19 */
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20
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21 /* This file was automatically generated --- DO NOT EDIT */
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22 /* Generated on Sun Nov 25 07:40:44 EST 2012 */
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23
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24 #include "codelet-rdft.h"
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25
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26 #ifdef HAVE_FMA
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27
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28 /* Generated by: ../../../genfft/gen_hc2cdft.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 8 -dit -name hc2cfdft_8 -include hc2cf.h */
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29
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30 /*
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31 * This function contains 82 FP additions, 52 FP multiplications,
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32 * (or, 60 additions, 30 multiplications, 22 fused multiply/add),
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33 * 55 stack variables, 2 constants, and 32 memory accesses
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34 */
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35 #include "hc2cf.h"
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36
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37 static void hc2cfdft_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
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38 {
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39 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
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40 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
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41 {
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42 INT m;
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43 for (m = mb, W = W + ((mb - 1) * 14); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 14, MAKE_VOLATILE_STRIDE(32, rs)) {
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44 E T1A, T1w, T1z, T1x, T1H, T1v, T1L, T1F;
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45 {
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46 E Ty, T14, TO, T1o, Tv, TG, T16, T1m, Ta, T19, T1h, TV, T10, TX, TZ;
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47 E Tk, T1i, TY, T1b, TF, TB, T1l;
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48 {
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49 E TH, TN, TK, TM;
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50 {
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51 E Tw, Tx, TI, TJ;
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52 Tw = Ip[0];
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53 Tx = Im[0];
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54 TI = Rm[0];
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55 TJ = Rp[0];
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56 TH = W[0];
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57 Ty = Tw - Tx;
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58 TN = Tw + Tx;
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59 T14 = TJ + TI;
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60 TK = TI - TJ;
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61 TM = W[1];
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62 }
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63 {
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64 E Ts, Tp, Tt, Tm, Tr;
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65 {
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66 E Tn, To, TL, T1n;
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67 Tn = Ip[WS(rs, 2)];
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68 To = Im[WS(rs, 2)];
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69 TL = TH * TK;
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70 T1n = TM * TK;
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71 Ts = Rp[WS(rs, 2)];
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72 TF = Tn + To;
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73 Tp = Tn - To;
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74 TO = FNMS(TM, TN, TL);
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75 T1o = FMA(TH, TN, T1n);
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76 Tt = Rm[WS(rs, 2)];
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77 }
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78 Tm = W[6];
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79 Tr = W[7];
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80 {
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81 E TE, TD, T15, TC, Tu, Tq;
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82 TB = W[8];
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83 TC = Tt - Ts;
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84 Tu = Ts + Tt;
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85 Tq = Tm * Tp;
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86 TE = W[9];
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87 TD = TB * TC;
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88 T15 = Tm * Tu;
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89 Tv = FNMS(Tr, Tu, Tq);
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90 T1l = TE * TC;
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91 TG = FNMS(TE, TF, TD);
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92 T16 = FMA(Tr, Tp, T15);
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93 }
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94 }
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95 }
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96 {
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97 E TU, TR, TT, T1g, TS;
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98 {
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99 E T2, T3, T7, T8;
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100 T2 = Ip[WS(rs, 1)];
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101 T1m = FMA(TB, TF, T1l);
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102 T3 = Im[WS(rs, 1)];
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103 T7 = Rp[WS(rs, 1)];
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104 T8 = Rm[WS(rs, 1)];
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105 {
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106 E T1, T4, T9, T6, T5, TQ, T18;
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107 T1 = W[2];
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108 TU = T2 + T3;
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109 T4 = T2 - T3;
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110 TR = T7 - T8;
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111 T9 = T7 + T8;
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112 T6 = W[3];
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113 T5 = T1 * T4;
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114 TQ = W[4];
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115 T18 = T1 * T9;
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116 TT = W[5];
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117 Ta = FNMS(T6, T9, T5);
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118 T1g = TQ * TU;
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119 TS = TQ * TR;
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120 T19 = FMA(T6, T4, T18);
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121 }
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122 }
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123 {
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124 E Tc, Td, Th, Ti;
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125 Tc = Ip[WS(rs, 3)];
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126 T1h = FNMS(TT, TR, T1g);
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127 TV = FMA(TT, TU, TS);
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128 Td = Im[WS(rs, 3)];
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129 Th = Rp[WS(rs, 3)];
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130 Ti = Rm[WS(rs, 3)];
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131 {
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132 E Tb, Te, Tj, Tg, Tf, TW, T1a;
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133 Tb = W[10];
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134 T10 = Tc + Td;
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135 Te = Tc - Td;
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136 TX = Th - Ti;
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137 Tj = Th + Ti;
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138 Tg = W[11];
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139 Tf = Tb * Te;
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140 TW = W[12];
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141 T1a = Tb * Tj;
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142 TZ = W[13];
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143 Tk = FNMS(Tg, Tj, Tf);
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144 T1i = TW * T10;
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145 TY = TW * TX;
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146 T1b = FMA(Tg, Te, T1a);
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147 }
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148 }
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149 }
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150 {
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151 E T1E, T1t, TA, T1s, T1D, T1u, T1e, T13, T1r, T1d;
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152 {
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153 E TP, T1f, T1q, T12, T17, T1c;
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154 {
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155 E Tl, T11, Tz, T1p, T1k, T1j;
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156 T1E = Ta - Tk;
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157 Tl = Ta + Tk;
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158 T1j = FNMS(TZ, TX, T1i);
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159 T11 = FMA(TZ, T10, TY);
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160 Tz = Tv + Ty;
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161 T1t = Ty - Tv;
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162 T1A = T1o - T1m;
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163 T1p = T1m + T1o;
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164 T1k = T1h + T1j;
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165 T1w = T1j - T1h;
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166 T1z = TO - TG;
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167 TP = TG + TO;
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168 T1f = Tz - Tl;
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169 TA = Tl + Tz;
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170 T1s = T1k + T1p;
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171 T1q = T1k - T1p;
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172 T12 = TV + T11;
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173 T1x = TV - T11;
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174 T1D = T14 - T16;
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175 T17 = T14 + T16;
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176 T1c = T19 + T1b;
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177 T1u = T19 - T1b;
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178 }
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179 Im[WS(rs, 1)] = KP500000000 * (T1q - T1f);
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180 T1e = T12 + TP;
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181 T13 = TP - T12;
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182 T1r = T17 + T1c;
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183 T1d = T17 - T1c;
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184 Ip[WS(rs, 2)] = KP500000000 * (T1f + T1q);
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185 }
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186 Im[WS(rs, 3)] = KP500000000 * (T13 - TA);
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187 Ip[0] = KP500000000 * (TA + T13);
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188 Rm[WS(rs, 3)] = KP500000000 * (T1r - T1s);
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189 Rp[0] = KP500000000 * (T1r + T1s);
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190 Rp[WS(rs, 2)] = KP500000000 * (T1d + T1e);
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191 Rm[WS(rs, 1)] = KP500000000 * (T1d - T1e);
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192 T1H = T1u + T1t;
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193 T1v = T1t - T1u;
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194 T1L = T1D + T1E;
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195 T1F = T1D - T1E;
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196 }
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197 }
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198 {
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199 E T1y, T1I, T1B, T1J;
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200 T1y = T1w + T1x;
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201 T1I = T1w - T1x;
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202 T1B = T1z - T1A;
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203 T1J = T1z + T1A;
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204 {
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205 E T1M, T1K, T1C, T1G;
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206 T1M = T1I + T1J;
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207 T1K = T1I - T1J;
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208 T1C = T1y + T1B;
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209 T1G = T1B - T1y;
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210 Im[0] = -(KP500000000 * (FNMS(KP707106781, T1K, T1H)));
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211 Ip[WS(rs, 3)] = KP500000000 * (FMA(KP707106781, T1K, T1H));
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212 Rp[WS(rs, 1)] = KP500000000 * (FMA(KP707106781, T1M, T1L));
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213 Rm[WS(rs, 2)] = KP500000000 * (FNMS(KP707106781, T1M, T1L));
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214 Rp[WS(rs, 3)] = KP500000000 * (FMA(KP707106781, T1G, T1F));
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215 Rm[0] = KP500000000 * (FNMS(KP707106781, T1G, T1F));
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216 Im[WS(rs, 2)] = -(KP500000000 * (FNMS(KP707106781, T1C, T1v)));
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217 Ip[WS(rs, 1)] = KP500000000 * (FMA(KP707106781, T1C, T1v));
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218 }
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219 }
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220 }
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221 }
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222 }
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223
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224 static const tw_instr twinstr[] = {
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225 {TW_FULL, 1, 8},
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226 {TW_NEXT, 1, 0}
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227 };
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228
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229 static const hc2c_desc desc = { 8, "hc2cfdft_8", twinstr, &GENUS, {60, 30, 22, 0} };
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230
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231 void X(codelet_hc2cfdft_8) (planner *p) {
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232 X(khc2c_register) (p, hc2cfdft_8, &desc, HC2C_VIA_DFT);
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233 }
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234 #else /* HAVE_FMA */
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235
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236 /* Generated by: ../../../genfft/gen_hc2cdft.native -compact -variables 4 -pipeline-latency 4 -n 8 -dit -name hc2cfdft_8 -include hc2cf.h */
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237
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238 /*
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239 * This function contains 82 FP additions, 44 FP multiplications,
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240 * (or, 68 additions, 30 multiplications, 14 fused multiply/add),
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241 * 39 stack variables, 2 constants, and 32 memory accesses
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242 */
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243 #include "hc2cf.h"
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244
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245 static void hc2cfdft_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
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246 {
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247 DK(KP353553390, +0.353553390593273762200422181052424519642417969);
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248 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
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249 {
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250 INT m;
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251 for (m = mb, W = W + ((mb - 1) * 14); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 14, MAKE_VOLATILE_STRIDE(32, rs)) {
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252 E Tv, TX, Ts, TY, TE, T1a, TJ, T19, T1l, T1m, T9, T10, Ti, T11, TP;
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253 E T16, TU, T17, T1i, T1j;
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254 {
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255 E Tt, Tu, TD, Tz, TA, TB, Tn, TI, Tr, TG, Tk, To;
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256 Tt = Ip[0];
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257 Tu = Im[0];
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258 TD = Tt + Tu;
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259 Tz = Rm[0];
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260 TA = Rp[0];
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261 TB = Tz - TA;
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262 {
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263 E Tl, Tm, Tp, Tq;
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264 Tl = Ip[WS(rs, 2)];
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265 Tm = Im[WS(rs, 2)];
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266 Tn = Tl - Tm;
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267 TI = Tl + Tm;
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268 Tp = Rp[WS(rs, 2)];
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269 Tq = Rm[WS(rs, 2)];
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270 Tr = Tp + Tq;
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271 TG = Tp - Tq;
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272 }
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273 Tv = Tt - Tu;
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274 TX = TA + Tz;
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275 Tk = W[6];
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276 To = W[7];
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277 Ts = FNMS(To, Tr, Tk * Tn);
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278 TY = FMA(Tk, Tr, To * Tn);
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279 {
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280 E Ty, TC, TF, TH;
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281 Ty = W[0];
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282 TC = W[1];
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283 TE = FNMS(TC, TD, Ty * TB);
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284 T1a = FMA(TC, TB, Ty * TD);
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285 TF = W[8];
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286 TH = W[9];
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287 TJ = FMA(TF, TG, TH * TI);
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288 T19 = FNMS(TH, TG, TF * TI);
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289 }
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290 T1l = TJ + TE;
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291 T1m = T1a - T19;
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292 }
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293 {
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294 E T4, TO, T8, TM, Td, TT, Th, TR;
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295 {
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296 E T2, T3, T6, T7;
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297 T2 = Ip[WS(rs, 1)];
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298 T3 = Im[WS(rs, 1)];
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299 T4 = T2 - T3;
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300 TO = T2 + T3;
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301 T6 = Rp[WS(rs, 1)];
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302 T7 = Rm[WS(rs, 1)];
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303 T8 = T6 + T7;
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304 TM = T6 - T7;
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305 }
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306 {
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307 E Tb, Tc, Tf, Tg;
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308 Tb = Ip[WS(rs, 3)];
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309 Tc = Im[WS(rs, 3)];
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310 Td = Tb - Tc;
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311 TT = Tb + Tc;
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312 Tf = Rp[WS(rs, 3)];
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313 Tg = Rm[WS(rs, 3)];
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314 Th = Tf + Tg;
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315 TR = Tf - Tg;
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316 }
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317 {
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318 E T1, T5, Ta, Te;
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319 T1 = W[2];
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320 T5 = W[3];
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321 T9 = FNMS(T5, T8, T1 * T4);
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322 T10 = FMA(T1, T8, T5 * T4);
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323 Ta = W[10];
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324 Te = W[11];
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325 Ti = FNMS(Te, Th, Ta * Td);
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326 T11 = FMA(Ta, Th, Te * Td);
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327 {
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328 E TL, TN, TQ, TS;
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329 TL = W[4];
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330 TN = W[5];
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331 TP = FMA(TL, TM, TN * TO);
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332 T16 = FNMS(TN, TM, TL * TO);
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Chris@10
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333 TQ = W[12];
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Chris@10
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334 TS = W[13];
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Chris@10
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335 TU = FMA(TQ, TR, TS * TT);
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Chris@10
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336 T17 = FNMS(TS, TR, TQ * TT);
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Chris@10
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337 }
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Chris@10
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338 T1i = T17 - T16;
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Chris@10
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339 T1j = TP - TU;
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Chris@10
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340 }
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Chris@10
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341 }
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Chris@10
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342 {
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Chris@10
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343 E T1h, T1t, T1w, T1y, T1o, T1s, T1r, T1x;
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Chris@10
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344 {
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Chris@10
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345 E T1f, T1g, T1u, T1v;
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Chris@10
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346 T1f = Tv - Ts;
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Chris@10
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347 T1g = T10 - T11;
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Chris@10
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348 T1h = KP500000000 * (T1f - T1g);
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Chris@10
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349 T1t = KP500000000 * (T1g + T1f);
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Chris@10
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350 T1u = T1i - T1j;
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Chris@10
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351 T1v = T1l + T1m;
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Chris@10
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352 T1w = KP353553390 * (T1u - T1v);
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Chris@10
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353 T1y = KP353553390 * (T1u + T1v);
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Chris@10
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354 }
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Chris@10
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355 {
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Chris@10
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356 E T1k, T1n, T1p, T1q;
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Chris@10
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357 T1k = T1i + T1j;
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Chris@10
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358 T1n = T1l - T1m;
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Chris@10
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359 T1o = KP353553390 * (T1k + T1n);
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Chris@10
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360 T1s = KP353553390 * (T1n - T1k);
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Chris@10
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361 T1p = TX - TY;
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Chris@10
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362 T1q = T9 - Ti;
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Chris@10
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363 T1r = KP500000000 * (T1p - T1q);
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Chris@10
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364 T1x = KP500000000 * (T1p + T1q);
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Chris@10
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365 }
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Chris@10
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366 Ip[WS(rs, 1)] = T1h + T1o;
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Chris@10
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367 Rp[WS(rs, 1)] = T1x + T1y;
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Chris@10
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368 Im[WS(rs, 2)] = T1o - T1h;
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Chris@10
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369 Rm[WS(rs, 2)] = T1x - T1y;
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Chris@10
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370 Rm[0] = T1r - T1s;
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Chris@10
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371 Im[0] = T1w - T1t;
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Chris@10
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372 Rp[WS(rs, 3)] = T1r + T1s;
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Chris@10
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373 Ip[WS(rs, 3)] = T1t + T1w;
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Chris@10
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374 }
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Chris@10
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375 {
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Chris@10
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376 E Tx, T15, T1c, T1e, TW, T14, T13, T1d;
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Chris@10
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377 {
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Chris@10
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378 E Tj, Tw, T18, T1b;
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Chris@10
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379 Tj = T9 + Ti;
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Chris@10
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380 Tw = Ts + Tv;
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Chris@10
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381 Tx = Tj + Tw;
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Chris@10
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382 T15 = Tw - Tj;
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Chris@10
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383 T18 = T16 + T17;
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Chris@10
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384 T1b = T19 + T1a;
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Chris@10
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385 T1c = T18 - T1b;
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Chris@10
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386 T1e = T18 + T1b;
|
Chris@10
|
387 }
|
Chris@10
|
388 {
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Chris@10
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389 E TK, TV, TZ, T12;
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Chris@10
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390 TK = TE - TJ;
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Chris@10
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391 TV = TP + TU;
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Chris@10
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392 TW = TK - TV;
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Chris@10
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393 T14 = TV + TK;
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Chris@10
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394 TZ = TX + TY;
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Chris@10
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395 T12 = T10 + T11;
|
Chris@10
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396 T13 = TZ - T12;
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Chris@10
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397 T1d = TZ + T12;
|
Chris@10
|
398 }
|
Chris@10
|
399 Ip[0] = KP500000000 * (Tx + TW);
|
Chris@10
|
400 Rp[0] = KP500000000 * (T1d + T1e);
|
Chris@10
|
401 Im[WS(rs, 3)] = KP500000000 * (TW - Tx);
|
Chris@10
|
402 Rm[WS(rs, 3)] = KP500000000 * (T1d - T1e);
|
Chris@10
|
403 Rm[WS(rs, 1)] = KP500000000 * (T13 - T14);
|
Chris@10
|
404 Im[WS(rs, 1)] = KP500000000 * (T1c - T15);
|
Chris@10
|
405 Rp[WS(rs, 2)] = KP500000000 * (T13 + T14);
|
Chris@10
|
406 Ip[WS(rs, 2)] = KP500000000 * (T15 + T1c);
|
Chris@10
|
407 }
|
Chris@10
|
408 }
|
Chris@10
|
409 }
|
Chris@10
|
410 }
|
Chris@10
|
411
|
Chris@10
|
412 static const tw_instr twinstr[] = {
|
Chris@10
|
413 {TW_FULL, 1, 8},
|
Chris@10
|
414 {TW_NEXT, 1, 0}
|
Chris@10
|
415 };
|
Chris@10
|
416
|
Chris@10
|
417 static const hc2c_desc desc = { 8, "hc2cfdft_8", twinstr, &GENUS, {68, 30, 14, 0} };
|
Chris@10
|
418
|
Chris@10
|
419 void X(codelet_hc2cfdft_8) (planner *p) {
|
Chris@10
|
420 X(khc2c_register) (p, hc2cfdft_8, &desc, HC2C_VIA_DFT);
|
Chris@10
|
421 }
|
Chris@10
|
422 #endif /* HAVE_FMA */
|