cannam@95
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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 07:35:59 EST 2012 */
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23
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24 #include "codelet-dft.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_twiddle.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 8 -name t2_8 -include t.h */
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29
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30 /*
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31 * This function contains 74 FP additions, 50 FP multiplications,
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32 * (or, 44 additions, 20 multiplications, 30 fused multiply/add),
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33 * 64 stack variables, 1 constants, and 32 memory accesses
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34 */
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35 #include "t.h"
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36
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37 static void t2_8(R *ri, R *ii, 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 {
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41 INT m;
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42 for (m = mb, W = W + (mb * 6); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 6, MAKE_VOLATILE_STRIDE(16, rs)) {
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43 E TS, T1m, TJ, T1l, T1k, Tw, T1w, T1u;
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44 {
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45 E T2, T3, Tl, Tn, T5, T4, Tm, Tr, T6;
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46 T2 = W[0];
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47 T3 = W[2];
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48 Tl = W[4];
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49 Tn = W[5];
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50 T5 = W[1];
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51 T4 = T2 * T3;
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52 Tm = T2 * Tl;
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53 Tr = T2 * Tn;
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54 T6 = W[3];
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55 {
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56 E T1, T1s, TG, Td, T1r, Tu, TY, Tk, TW, T18, T1d, TD, TH, TA, T13;
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57 E TE, T14;
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58 {
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59 E To, Ts, Tf, T7, T8, Ti, Tb, T9, Tc, TC, Ta, TF, TB, Tg, Th;
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60 E Tj;
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61 T1 = ri[0];
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62 To = FMA(T5, Tn, Tm);
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63 Ts = FNMS(T5, Tl, Tr);
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64 Tf = FMA(T5, T6, T4);
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65 T7 = FNMS(T5, T6, T4);
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66 Ta = T2 * T6;
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67 T1s = ii[0];
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68 T8 = ri[WS(rs, 4)];
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69 TF = Tf * Tn;
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70 TB = Tf * Tl;
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71 Ti = FNMS(T5, T3, Ta);
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72 Tb = FMA(T5, T3, Ta);
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73 T9 = T7 * T8;
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74 Tc = ii[WS(rs, 4)];
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75 TG = FNMS(Ti, Tl, TF);
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76 TC = FMA(Ti, Tn, TB);
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77 {
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78 E Tp, T1q, Tt, Tq, TX;
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79 Tp = ri[WS(rs, 6)];
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80 Td = FMA(Tb, Tc, T9);
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81 T1q = T7 * Tc;
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82 Tt = ii[WS(rs, 6)];
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83 Tq = To * Tp;
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84 Tg = ri[WS(rs, 2)];
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85 T1r = FNMS(Tb, T8, T1q);
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86 TX = To * Tt;
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87 Tu = FMA(Ts, Tt, Tq);
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88 Th = Tf * Tg;
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89 Tj = ii[WS(rs, 2)];
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90 TY = FNMS(Ts, Tp, TX);
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91 }
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92 {
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93 E TO, TQ, TN, TP, T1a, T1b;
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94 {
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95 E TK, TM, TL, T19, TV;
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96 TK = ri[WS(rs, 7)];
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97 TM = ii[WS(rs, 7)];
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98 Tk = FMA(Ti, Tj, Th);
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99 TV = Tf * Tj;
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100 TL = Tl * TK;
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101 T19 = Tl * TM;
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102 TO = ri[WS(rs, 3)];
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103 TW = FNMS(Ti, Tg, TV);
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104 TQ = ii[WS(rs, 3)];
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105 TN = FMA(Tn, TM, TL);
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106 TP = T3 * TO;
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107 T1a = FNMS(Tn, TK, T19);
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108 T1b = T3 * TQ;
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109 }
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110 {
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111 E Tx, Tz, Ty, T12, T1c, TR;
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112 Tx = ri[WS(rs, 1)];
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113 TR = FMA(T6, TQ, TP);
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114 Tz = ii[WS(rs, 1)];
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115 T1c = FNMS(T6, TO, T1b);
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116 Ty = T2 * Tx;
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117 T18 = TN - TR;
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118 TS = TN + TR;
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119 T12 = T2 * Tz;
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120 T1d = T1a - T1c;
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121 T1m = T1a + T1c;
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122 TD = ri[WS(rs, 5)];
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123 TH = ii[WS(rs, 5)];
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124 TA = FMA(T5, Tz, Ty);
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125 T13 = FNMS(T5, Tx, T12);
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126 TE = TC * TD;
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127 T14 = TC * TH;
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128 }
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129 }
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130 }
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131 {
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132 E Te, T1p, T1t, Tv;
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133 {
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134 E T1g, T10, T1z, T1B, T1A, T1j, T1C, T1f;
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135 {
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136 E T1x, T11, T16, T1y;
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137 {
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138 E TU, TZ, TI, T15;
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139 Te = T1 + Td;
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140 TU = T1 - Td;
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141 TZ = TW - TY;
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142 T1p = TW + TY;
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143 TI = FMA(TG, TH, TE);
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144 T15 = FNMS(TG, TD, T14);
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145 T1t = T1r + T1s;
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146 T1x = T1s - T1r;
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147 T1g = TU - TZ;
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148 T10 = TU + TZ;
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149 T11 = TA - TI;
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150 TJ = TA + TI;
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151 T1l = T13 + T15;
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152 T16 = T13 - T15;
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153 T1y = Tk - Tu;
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154 Tv = Tk + Tu;
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155 }
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156 {
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157 E T1i, T1e, T17, T1h;
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158 T1i = T18 + T1d;
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159 T1e = T18 - T1d;
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160 T17 = T11 + T16;
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161 T1h = T16 - T11;
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162 T1z = T1x - T1y;
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163 T1B = T1y + T1x;
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164 T1A = T1h + T1i;
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165 T1j = T1h - T1i;
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166 T1C = T1e - T17;
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167 T1f = T17 + T1e;
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168 }
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169 }
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170 ri[WS(rs, 7)] = FNMS(KP707106781, T1j, T1g);
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171 ii[WS(rs, 7)] = FNMS(KP707106781, T1C, T1B);
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172 ri[WS(rs, 1)] = FMA(KP707106781, T1f, T10);
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173 ri[WS(rs, 5)] = FNMS(KP707106781, T1f, T10);
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174 ii[WS(rs, 1)] = FMA(KP707106781, T1A, T1z);
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175 ii[WS(rs, 5)] = FNMS(KP707106781, T1A, T1z);
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176 ri[WS(rs, 3)] = FMA(KP707106781, T1j, T1g);
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177 ii[WS(rs, 3)] = FMA(KP707106781, T1C, T1B);
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178 }
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179 T1k = Te - Tv;
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180 Tw = Te + Tv;
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181 T1w = T1t - T1p;
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182 T1u = T1p + T1t;
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183 }
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184 }
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185 }
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cannam@95
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186 {
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187 E TT, T1v, T1n, T1o;
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188 TT = TJ + TS;
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189 T1v = TS - TJ;
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190 T1n = T1l - T1m;
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191 T1o = T1l + T1m;
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192 ii[WS(rs, 2)] = T1v + T1w;
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193 ii[WS(rs, 6)] = T1w - T1v;
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194 ri[0] = Tw + TT;
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195 ri[WS(rs, 4)] = Tw - TT;
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196 ii[0] = T1o + T1u;
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197 ii[WS(rs, 4)] = T1u - T1o;
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198 ri[WS(rs, 2)] = T1k + T1n;
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199 ri[WS(rs, 6)] = T1k - T1n;
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200 }
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201 }
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202 }
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203 }
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204
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205 static const tw_instr twinstr[] = {
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206 {TW_CEXP, 0, 1},
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207 {TW_CEXP, 0, 3},
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208 {TW_CEXP, 0, 7},
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209 {TW_NEXT, 1, 0}
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210 };
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211
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212 static const ct_desc desc = { 8, "t2_8", twinstr, &GENUS, {44, 20, 30, 0}, 0, 0, 0 };
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213
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214 void X(codelet_t2_8) (planner *p) {
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215 X(kdft_dit_register) (p, t2_8, &desc);
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216 }
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217 #else /* HAVE_FMA */
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218
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219 /* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 8 -name t2_8 -include t.h */
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220
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221 /*
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222 * This function contains 74 FP additions, 44 FP multiplications,
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223 * (or, 56 additions, 26 multiplications, 18 fused multiply/add),
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224 * 42 stack variables, 1 constants, and 32 memory accesses
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225 */
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cannam@95
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226 #include "t.h"
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227
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228 static void t2_8(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
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229 {
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230 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
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231 {
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cannam@95
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232 INT m;
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233 for (m = mb, W = W + (mb * 6); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 6, MAKE_VOLATILE_STRIDE(16, rs)) {
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234 E T2, T5, T3, T6, T8, Tc, Tg, Ti, Tl, Tm, Tn, Tz, Tp, Tx;
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235 {
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236 E T4, Tb, T7, Ta;
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237 T2 = W[0];
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238 T5 = W[1];
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cannam@95
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239 T3 = W[2];
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240 T6 = W[3];
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cannam@95
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241 T4 = T2 * T3;
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cannam@95
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242 Tb = T5 * T3;
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cannam@95
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243 T7 = T5 * T6;
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cannam@95
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244 Ta = T2 * T6;
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cannam@95
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245 T8 = T4 - T7;
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cannam@95
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246 Tc = Ta + Tb;
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cannam@95
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247 Tg = T4 + T7;
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cannam@95
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248 Ti = Ta - Tb;
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cannam@95
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249 Tl = W[4];
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cannam@95
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250 Tm = W[5];
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cannam@95
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251 Tn = FMA(T2, Tl, T5 * Tm);
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cannam@95
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252 Tz = FNMS(Ti, Tl, Tg * Tm);
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cannam@95
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253 Tp = FNMS(T5, Tl, T2 * Tm);
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cannam@95
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254 Tx = FMA(Tg, Tl, Ti * Tm);
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cannam@95
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255 }
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cannam@95
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256 {
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cannam@95
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257 E Tf, T1i, TL, T1d, TJ, T17, TV, TY, Ts, T1j, TO, T1a, TC, T16, TQ;
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cannam@95
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258 E TT;
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cannam@95
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259 {
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cannam@95
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260 E T1, T1c, Te, T1b, T9, Td;
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cannam@95
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261 T1 = ri[0];
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cannam@95
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262 T1c = ii[0];
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cannam@95
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263 T9 = ri[WS(rs, 4)];
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cannam@95
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264 Td = ii[WS(rs, 4)];
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cannam@95
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265 Te = FMA(T8, T9, Tc * Td);
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cannam@95
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266 T1b = FNMS(Tc, T9, T8 * Td);
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cannam@95
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267 Tf = T1 + Te;
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cannam@95
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268 T1i = T1c - T1b;
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cannam@95
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269 TL = T1 - Te;
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cannam@95
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270 T1d = T1b + T1c;
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cannam@95
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271 }
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cannam@95
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272 {
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cannam@95
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273 E TF, TW, TI, TX;
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cannam@95
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274 {
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cannam@95
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275 E TD, TE, TG, TH;
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cannam@95
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276 TD = ri[WS(rs, 7)];
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cannam@95
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277 TE = ii[WS(rs, 7)];
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cannam@95
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278 TF = FMA(Tl, TD, Tm * TE);
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cannam@95
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279 TW = FNMS(Tm, TD, Tl * TE);
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cannam@95
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280 TG = ri[WS(rs, 3)];
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cannam@95
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281 TH = ii[WS(rs, 3)];
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cannam@95
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282 TI = FMA(T3, TG, T6 * TH);
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cannam@95
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283 TX = FNMS(T6, TG, T3 * TH);
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cannam@95
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284 }
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cannam@95
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285 TJ = TF + TI;
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cannam@95
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286 T17 = TW + TX;
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cannam@95
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287 TV = TF - TI;
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cannam@95
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288 TY = TW - TX;
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cannam@95
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289 }
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cannam@95
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290 {
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cannam@95
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291 E Tk, TM, Tr, TN;
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cannam@95
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292 {
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cannam@95
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293 E Th, Tj, To, Tq;
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cannam@95
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294 Th = ri[WS(rs, 2)];
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cannam@95
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295 Tj = ii[WS(rs, 2)];
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cannam@95
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296 Tk = FMA(Tg, Th, Ti * Tj);
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cannam@95
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297 TM = FNMS(Ti, Th, Tg * Tj);
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cannam@95
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298 To = ri[WS(rs, 6)];
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cannam@95
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299 Tq = ii[WS(rs, 6)];
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cannam@95
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300 Tr = FMA(Tn, To, Tp * Tq);
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cannam@95
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301 TN = FNMS(Tp, To, Tn * Tq);
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cannam@95
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302 }
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cannam@95
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303 Ts = Tk + Tr;
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cannam@95
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304 T1j = Tk - Tr;
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cannam@95
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305 TO = TM - TN;
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cannam@95
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306 T1a = TM + TN;
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cannam@95
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307 }
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cannam@95
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308 {
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cannam@95
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309 E Tw, TR, TB, TS;
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cannam@95
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310 {
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cannam@95
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311 E Tu, Tv, Ty, TA;
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cannam@95
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312 Tu = ri[WS(rs, 1)];
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cannam@95
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313 Tv = ii[WS(rs, 1)];
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cannam@95
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314 Tw = FMA(T2, Tu, T5 * Tv);
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cannam@95
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315 TR = FNMS(T5, Tu, T2 * Tv);
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cannam@95
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316 Ty = ri[WS(rs, 5)];
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cannam@95
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317 TA = ii[WS(rs, 5)];
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cannam@95
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318 TB = FMA(Tx, Ty, Tz * TA);
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cannam@95
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319 TS = FNMS(Tz, Ty, Tx * TA);
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cannam@95
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320 }
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cannam@95
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321 TC = Tw + TB;
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cannam@95
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322 T16 = TR + TS;
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cannam@95
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323 TQ = Tw - TB;
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cannam@95
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324 TT = TR - TS;
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cannam@95
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325 }
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cannam@95
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326 {
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cannam@95
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327 E Tt, TK, T1f, T1g;
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cannam@95
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328 Tt = Tf + Ts;
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cannam@95
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329 TK = TC + TJ;
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cannam@95
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330 ri[WS(rs, 4)] = Tt - TK;
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cannam@95
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331 ri[0] = Tt + TK;
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cannam@95
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332 {
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cannam@95
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333 E T19, T1e, T15, T18;
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cannam@95
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334 T19 = T16 + T17;
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cannam@95
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335 T1e = T1a + T1d;
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cannam@95
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336 ii[0] = T19 + T1e;
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cannam@95
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337 ii[WS(rs, 4)] = T1e - T19;
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cannam@95
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338 T15 = Tf - Ts;
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cannam@95
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339 T18 = T16 - T17;
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cannam@95
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340 ri[WS(rs, 6)] = T15 - T18;
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cannam@95
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341 ri[WS(rs, 2)] = T15 + T18;
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cannam@95
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342 }
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cannam@95
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343 T1f = TJ - TC;
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cannam@95
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344 T1g = T1d - T1a;
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cannam@95
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345 ii[WS(rs, 2)] = T1f + T1g;
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cannam@95
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346 ii[WS(rs, 6)] = T1g - T1f;
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cannam@95
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347 {
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cannam@95
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348 E T11, T1k, T14, T1h, T12, T13;
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cannam@95
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349 T11 = TL - TO;
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cannam@95
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350 T1k = T1i - T1j;
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cannam@95
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351 T12 = TT - TQ;
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cannam@95
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352 T13 = TV + TY;
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cannam@95
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353 T14 = KP707106781 * (T12 - T13);
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cannam@95
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354 T1h = KP707106781 * (T12 + T13);
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cannam@95
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355 ri[WS(rs, 7)] = T11 - T14;
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cannam@95
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356 ii[WS(rs, 5)] = T1k - T1h;
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cannam@95
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357 ri[WS(rs, 3)] = T11 + T14;
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cannam@95
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358 ii[WS(rs, 1)] = T1h + T1k;
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cannam@95
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359 }
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cannam@95
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360 {
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cannam@95
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361 E TP, T1m, T10, T1l, TU, TZ;
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cannam@95
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362 TP = TL + TO;
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cannam@95
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363 T1m = T1j + T1i;
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cannam@95
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364 TU = TQ + TT;
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cannam@95
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365 TZ = TV - TY;
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cannam@95
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366 T10 = KP707106781 * (TU + TZ);
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cannam@95
|
367 T1l = KP707106781 * (TZ - TU);
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cannam@95
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368 ri[WS(rs, 5)] = TP - T10;
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cannam@95
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369 ii[WS(rs, 7)] = T1m - T1l;
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cannam@95
|
370 ri[WS(rs, 1)] = TP + T10;
|
cannam@95
|
371 ii[WS(rs, 3)] = T1l + T1m;
|
cannam@95
|
372 }
|
cannam@95
|
373 }
|
cannam@95
|
374 }
|
cannam@95
|
375 }
|
cannam@95
|
376 }
|
cannam@95
|
377 }
|
cannam@95
|
378
|
cannam@95
|
379 static const tw_instr twinstr[] = {
|
cannam@95
|
380 {TW_CEXP, 0, 1},
|
cannam@95
|
381 {TW_CEXP, 0, 3},
|
cannam@95
|
382 {TW_CEXP, 0, 7},
|
cannam@95
|
383 {TW_NEXT, 1, 0}
|
cannam@95
|
384 };
|
cannam@95
|
385
|
cannam@95
|
386 static const ct_desc desc = { 8, "t2_8", twinstr, &GENUS, {56, 26, 18, 0}, 0, 0, 0 };
|
cannam@95
|
387
|
cannam@95
|
388 void X(codelet_t2_8) (planner *p) {
|
cannam@95
|
389 X(kdft_dit_register) (p, t2_8, &desc);
|
cannam@95
|
390 }
|
cannam@95
|
391 #endif /* HAVE_FMA */
|