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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 07:41:57 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_hc2c.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 8 -dif -name hc2cb2_8 -include hc2cb.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 "hc2cb.h"
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36
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37 static void hc2cb2_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 {
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41 INT m;
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42 for (m = mb, W = W + ((mb - 1) * 6); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 6, MAKE_VOLATILE_STRIDE(32, rs)) {
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43 E Tf, Ti, TK, Tq, TH, TT, TX, TW, TY, TU, TI;
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44 {
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45 E Tg, Tl, Tp, Th, T1n, T1t, Tj;
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46 Tf = W[0];
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47 Tg = W[2];
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48 Tl = W[4];
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49 Tp = W[5];
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50 Ti = W[1];
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51 Th = Tf * Tg;
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52 T1n = Tf * Tl;
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53 T1t = Tf * Tp;
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54 Tj = W[3];
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55 {
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56 E T1o, T1u, Tk, T1b, To, T1e, T13, TP, T1p, T7, T1h, T1v, TZ, Tv, T1i;
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57 E TB, TA, TQ, Te, T1w, TE, T1j;
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58 {
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59 E Tr, T3, Ts, T1f, TO, TL, T6, Tt;
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60 {
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61 E TM, TN, T4, T5;
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62 {
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63 E T1, Tn, T2, TJ, Tm;
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64 T1 = Rp[0];
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65 T1o = FMA(Ti, Tp, T1n);
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66 T1u = FNMS(Ti, Tl, T1t);
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67 Tk = FMA(Ti, Tj, Th);
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68 T1b = FNMS(Ti, Tj, Th);
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69 Tn = Tf * Tj;
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70 T2 = Rm[WS(rs, 3)];
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71 TM = Ip[0];
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72 TJ = Tk * Tp;
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73 Tm = Tk * Tl;
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74 To = FNMS(Ti, Tg, Tn);
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75 T1e = FMA(Ti, Tg, Tn);
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76 Tr = T1 - T2;
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77 T3 = T1 + T2;
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78 TK = FNMS(To, Tl, TJ);
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79 Tq = FMA(To, Tp, Tm);
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80 TN = Im[WS(rs, 3)];
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81 }
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82 T4 = Rp[WS(rs, 2)];
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83 T5 = Rm[WS(rs, 1)];
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84 Ts = Ip[WS(rs, 2)];
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85 T1f = TM - TN;
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86 TO = TM + TN;
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87 TL = T4 - T5;
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88 T6 = T4 + T5;
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89 Tt = Im[WS(rs, 1)];
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90 }
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91 {
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92 E Tw, Ta, TC, Tz, Td, TD;
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93 {
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94 E Tx, Ty, Tb, Tc;
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95 {
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96 E T8, T1g, Tu, T9;
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97 T8 = Rp[WS(rs, 1)];
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98 T13 = TO - TL;
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99 TP = TL + TO;
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100 T1p = T3 - T6;
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101 T7 = T3 + T6;
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102 T1g = Ts - Tt;
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103 Tu = Ts + Tt;
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104 T9 = Rm[WS(rs, 2)];
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105 Tx = Ip[WS(rs, 1)];
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106 T1h = T1f + T1g;
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107 T1v = T1f - T1g;
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108 TZ = Tr + Tu;
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109 Tv = Tr - Tu;
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110 Tw = T8 - T9;
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111 Ta = T8 + T9;
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112 Ty = Im[WS(rs, 2)];
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113 }
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114 Tb = Rm[0];
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115 Tc = Rp[WS(rs, 3)];
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116 TC = Ip[WS(rs, 3)];
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117 T1i = Tx - Ty;
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118 Tz = Tx + Ty;
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119 TB = Tb - Tc;
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120 Td = Tb + Tc;
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121 TD = Im[0];
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122 }
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123 TA = Tw - Tz;
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124 TQ = Tw + Tz;
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125 Te = Ta + Td;
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126 T1w = Ta - Td;
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127 TE = TC + TD;
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128 T1j = TC - TD;
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129 }
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130 }
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131 {
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132 E T1x, T1k, T1r, TG, TS, T19, T15, T17, T11, T16, T12;
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133 {
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134 E T1B, T1z, T10, T1A, T1C;
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135 T1x = T1v - T1w;
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136 T1B = T1w + T1v;
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137 Rp[0] = T7 + Te;
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138 {
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139 E T1q, TR, TF, T14;
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140 T1k = T1i + T1j;
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141 T1q = T1j - T1i;
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142 TR = TB + TE;
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143 TF = TB - TE;
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144 T1r = T1p - T1q;
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145 T1z = T1p + T1q;
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146 Rm[0] = T1h + T1k;
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147 TG = TA + TF;
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148 T14 = TA - TF;
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149 TS = TQ - TR;
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150 T10 = TQ + TR;
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151 T1A = Tk * T1z;
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152 T19 = FNMS(KP707106781, T14, T13);
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153 T15 = FMA(KP707106781, T14, T13);
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154 T1C = Tk * T1B;
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155 }
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156 T17 = FMA(KP707106781, T10, TZ);
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157 T11 = FNMS(KP707106781, T10, TZ);
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158 Rp[WS(rs, 1)] = FNMS(To, T1B, T1A);
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159 T16 = Tg * T15;
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160 Rm[WS(rs, 1)] = FMA(To, T1z, T1C);
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161 }
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162 T12 = Tg * T11;
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163 {
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164 E T1l, T1a, T1c, T18;
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165 Im[WS(rs, 1)] = FMA(Tj, T11, T16);
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166 Ip[WS(rs, 1)] = FNMS(Tj, T15, T12);
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167 T18 = Tl * T17;
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168 T1l = T1h - T1k;
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169 T1a = Tl * T19;
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170 T1c = T7 - Te;
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171 Ip[WS(rs, 3)] = FNMS(Tp, T19, T18);
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172 {
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173 E T1s, T1m, T1d, T1y, TV;
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174 Im[WS(rs, 3)] = FMA(Tp, T17, T1a);
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175 T1m = T1e * T1c;
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176 T1d = T1b * T1c;
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177 T1s = T1o * T1r;
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178 Rm[WS(rs, 2)] = FMA(T1b, T1l, T1m);
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179 Rp[WS(rs, 2)] = FNMS(T1e, T1l, T1d);
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180 Rp[WS(rs, 3)] = FNMS(T1u, T1x, T1s);
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181 T1y = T1o * T1x;
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182 TV = FMA(KP707106781, TG, Tv);
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183 TH = FNMS(KP707106781, TG, Tv);
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184 TT = FNMS(KP707106781, TS, TP);
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185 TX = FMA(KP707106781, TS, TP);
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186 Rm[WS(rs, 3)] = FMA(T1u, T1r, T1y);
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187 TW = Tf * TV;
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188 TY = Ti * TV;
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189 }
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190 }
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191 }
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192 }
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193 }
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194 Ip[0] = FNMS(Ti, TX, TW);
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195 Im[0] = FMA(Tf, TX, TY);
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196 TU = TK * TH;
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197 TI = Tq * TH;
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198 Im[WS(rs, 2)] = FMA(Tq, TT, TU);
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199 Ip[WS(rs, 2)] = FNMS(TK, TT, TI);
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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 static const tw_instr twinstr[] = {
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205 {TW_CEXP, 1, 1},
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206 {TW_CEXP, 1, 3},
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207 {TW_CEXP, 1, 7},
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208 {TW_NEXT, 1, 0}
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209 };
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210
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211 static const hc2c_desc desc = { 8, "hc2cb2_8", twinstr, &GENUS, {44, 20, 30, 0} };
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212
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213 void X(codelet_hc2cb2_8) (planner *p) {
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214 X(khc2c_register) (p, hc2cb2_8, &desc, HC2C_VIA_RDFT);
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215 }
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216 #else /* HAVE_FMA */
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217
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218 /* Generated by: ../../../genfft/gen_hc2c.native -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 8 -dif -name hc2cb2_8 -include hc2cb.h */
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219
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220 /*
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221 * This function contains 74 FP additions, 44 FP multiplications,
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222 * (or, 56 additions, 26 multiplications, 18 fused multiply/add),
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223 * 46 stack variables, 1 constants, and 32 memory accesses
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224 */
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225 #include "hc2cb.h"
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226
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227 static void hc2cb2_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
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228 {
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229 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
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230 {
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231 INT m;
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232 for (m = mb, W = W + ((mb - 1) * 6); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 6, MAKE_VOLATILE_STRIDE(32, rs)) {
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233 E Tf, Ti, Tg, Tj, Tl, Tp, TP, TR, TF, TG, TH, T15, TL, TT;
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234 {
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235 E Th, To, Tk, Tn;
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236 Tf = W[0];
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237 Ti = W[1];
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238 Tg = W[2];
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239 Tj = W[3];
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240 Th = Tf * Tg;
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241 To = Ti * Tg;
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242 Tk = Ti * Tj;
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243 Tn = Tf * Tj;
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244 Tl = Th - Tk;
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245 Tp = Tn + To;
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246 TP = Th + Tk;
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247 TR = Tn - To;
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248 TF = W[4];
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249 TG = W[5];
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250 TH = FMA(Tf, TF, Ti * TG);
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251 T15 = FNMS(TR, TF, TP * TG);
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252 TL = FNMS(Ti, TF, Tf * TG);
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253 TT = FMA(TP, TF, TR * TG);
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254 }
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255 {
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256 E T7, T1f, T1i, Tw, TI, TW, T18, TM, Te, T19, T1a, TD, TJ, TZ, T12;
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257 E TN, Tm, TE;
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258 {
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259 E T3, TU, Ts, T17, T6, T16, Tv, TV;
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260 {
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261 E T1, T2, Tq, Tr;
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262 T1 = Rp[0];
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263 T2 = Rm[WS(rs, 3)];
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264 T3 = T1 + T2;
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265 TU = T1 - T2;
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266 Tq = Ip[0];
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267 Tr = Im[WS(rs, 3)];
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268 Ts = Tq - Tr;
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269 T17 = Tq + Tr;
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270 }
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271 {
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272 E T4, T5, Tt, Tu;
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273 T4 = Rp[WS(rs, 2)];
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274 T5 = Rm[WS(rs, 1)];
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275 T6 = T4 + T5;
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276 T16 = T4 - T5;
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277 Tt = Ip[WS(rs, 2)];
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278 Tu = Im[WS(rs, 1)];
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279 Tv = Tt - Tu;
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280 TV = Tt + Tu;
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281 }
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282 T7 = T3 + T6;
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283 T1f = TU + TV;
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284 T1i = T17 - T16;
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285 Tw = Ts + Tv;
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286 TI = T3 - T6;
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287 TW = TU - TV;
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288 T18 = T16 + T17;
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289 TM = Ts - Tv;
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290 }
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291 {
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292 E Ta, TX, Tz, TY, Td, T10, TC, T11;
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293 {
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294 E T8, T9, Tx, Ty;
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295 T8 = Rp[WS(rs, 1)];
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296 T9 = Rm[WS(rs, 2)];
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297 Ta = T8 + T9;
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298 TX = T8 - T9;
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299 Tx = Ip[WS(rs, 1)];
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300 Ty = Im[WS(rs, 2)];
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301 Tz = Tx - Ty;
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302 TY = Tx + Ty;
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303 }
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304 {
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305 E Tb, Tc, TA, TB;
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306 Tb = Rm[0];
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307 Tc = Rp[WS(rs, 3)];
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308 Td = Tb + Tc;
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309 T10 = Tb - Tc;
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310 TA = Ip[WS(rs, 3)];
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311 TB = Im[0];
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312 TC = TA - TB;
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313 T11 = TA + TB;
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314 }
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315 Te = Ta + Td;
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316 T19 = TX + TY;
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317 T1a = T10 + T11;
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318 TD = Tz + TC;
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319 TJ = TC - Tz;
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320 TZ = TX - TY;
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321 T12 = T10 - T11;
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322 TN = Ta - Td;
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323 }
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324 Rp[0] = T7 + Te;
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325 Rm[0] = Tw + TD;
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326 Tm = T7 - Te;
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327 TE = Tw - TD;
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328 Rp[WS(rs, 2)] = FNMS(Tp, TE, Tl * Tm);
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329 Rm[WS(rs, 2)] = FMA(Tp, Tm, Tl * TE);
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330 {
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331 E TQ, TS, TK, TO;
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332 TQ = TI + TJ;
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333 TS = TN + TM;
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334 Rp[WS(rs, 1)] = FNMS(TR, TS, TP * TQ);
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335 Rm[WS(rs, 1)] = FMA(TP, TS, TR * TQ);
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336 TK = TI - TJ;
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337 TO = TM - TN;
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338 Rp[WS(rs, 3)] = FNMS(TL, TO, TH * TK);
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339 Rm[WS(rs, 3)] = FMA(TH, TO, TL * TK);
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340 }
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341 {
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342 E T1h, T1l, T1k, T1m, T1g, T1j;
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343 T1g = KP707106781 * (T19 + T1a);
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344 T1h = T1f - T1g;
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345 T1l = T1f + T1g;
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346 T1j = KP707106781 * (TZ - T12);
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347 T1k = T1i + T1j;
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348 T1m = T1i - T1j;
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349 Ip[WS(rs, 1)] = FNMS(Tj, T1k, Tg * T1h);
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350 Im[WS(rs, 1)] = FMA(Tg, T1k, Tj * T1h);
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351 Ip[WS(rs, 3)] = FNMS(TG, T1m, TF * T1l);
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352 Im[WS(rs, 3)] = FMA(TF, T1m, TG * T1l);
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353 }
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354 {
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355 E T14, T1d, T1c, T1e, T13, T1b;
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356 T13 = KP707106781 * (TZ + T12);
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357 T14 = TW - T13;
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358 T1d = TW + T13;
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359 T1b = KP707106781 * (T19 - T1a);
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360 T1c = T18 - T1b;
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361 T1e = T18 + T1b;
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362 Ip[WS(rs, 2)] = FNMS(T15, T1c, TT * T14);
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363 Im[WS(rs, 2)] = FMA(T15, T14, TT * T1c);
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364 Ip[0] = FNMS(Ti, T1e, Tf * T1d);
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365 Im[0] = FMA(Ti, T1d, Tf * T1e);
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366 }
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367 }
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368 }
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369 }
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370 }
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371
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372 static const tw_instr twinstr[] = {
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373 {TW_CEXP, 1, 1},
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374 {TW_CEXP, 1, 3},
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375 {TW_CEXP, 1, 7},
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376 {TW_NEXT, 1, 0}
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377 };
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378
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379 static const hc2c_desc desc = { 8, "hc2cb2_8", twinstr, &GENUS, {56, 26, 18, 0} };
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380
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381 void X(codelet_hc2cb2_8) (planner *p) {
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382 X(khc2c_register) (p, hc2cb2_8, &desc, HC2C_VIA_RDFT);
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383 }
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384 #endif /* HAVE_FMA */
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