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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 07:40:50 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 -twiddle-log3 -precompute-twiddles -n 8 -dit -name hc2cfdft2_8 -include hc2cf.h */
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29
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30 /*
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31 * This function contains 90 FP additions, 66 FP multiplications,
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32 * (or, 60 additions, 36 multiplications, 30 fused multiply/add),
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33 * 68 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 hc2cfdft2_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) * 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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44 E T1G, T1F, T1C, T1D, T1N, T1B, T1R, T1L;
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45 {
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46 E T1, T2, Th, Tj, T4, T3, Ti, Tp, T5;
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47 T1 = W[0];
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48 T2 = W[2];
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49 Th = W[4];
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50 Tj = W[5];
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51 T4 = W[1];
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52 T3 = T1 * T2;
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53 Ti = T1 * Th;
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54 Tp = T1 * Tj;
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55 T5 = W[3];
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56 {
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57 E Tk, Tq, TI, T1a, T1u, TY, TF, TS, T1s, T1c, Tr, T1n, Tg, T16, Tn;
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58 E T13, T1f, Ts, To, T1o;
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59 {
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60 E T6, Tw, Tc, TB, TQ, TM, TC, TR, Tz, TD, TA;
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61 {
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62 E TX, TV, TT, TU;
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63 {
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64 E TG, Tb, TH, TP, TL;
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65 TG = Ip[0];
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66 Tk = FMA(T4, Tj, Ti);
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67 Tq = FNMS(T4, Th, Tp);
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68 T6 = FMA(T4, T5, T3);
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69 Tw = FNMS(T4, T5, T3);
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70 Tb = T1 * T5;
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71 TH = Im[0];
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72 TT = Rm[0];
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73 TP = T6 * Tj;
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74 TL = T6 * Th;
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75 Tc = FNMS(T4, T2, Tb);
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76 TB = FMA(T4, T2, Tb);
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77 TX = TG + TH;
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78 TI = TG - TH;
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79 TU = Rp[0];
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80 TQ = FNMS(Tc, Th, TP);
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81 TM = FMA(Tc, Tj, TL);
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82 }
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83 T1a = TU + TT;
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84 TV = TT - TU;
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85 {
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86 E Tx, Ty, T1t, TW;
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87 Tx = Ip[WS(rs, 2)];
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88 Ty = Im[WS(rs, 2)];
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89 T1t = T4 * TV;
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90 TW = T1 * TV;
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91 TC = Rp[WS(rs, 2)];
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92 TR = Tx + Ty;
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93 Tz = Tx - Ty;
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94 T1u = FMA(T1, TX, T1t);
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95 TY = FNMS(T4, TX, TW);
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96 TD = Rm[WS(rs, 2)];
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97 }
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98 TA = Tw * Tz;
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99 }
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100 {
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101 E Td, T9, T12, Te, Ta, T1m;
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102 {
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103 E T7, T8, TN, TE, TO, T1r, T1b;
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104 T7 = Ip[WS(rs, 1)];
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105 T8 = Im[WS(rs, 1)];
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106 TN = TD - TC;
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107 TE = TC + TD;
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108 Td = Rp[WS(rs, 1)];
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109 T9 = T7 - T8;
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110 T12 = T7 + T8;
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111 TO = TM * TN;
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112 T1r = TQ * TN;
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113 T1b = Tw * TE;
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114 TF = FNMS(TB, TE, TA);
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115 TS = FNMS(TQ, TR, TO);
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116 T1s = FMA(TM, TR, T1r);
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117 T1c = FMA(TB, Tz, T1b);
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118 Te = Rm[WS(rs, 1)];
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119 }
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120 Ta = T6 * T9;
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121 T1m = T2 * T12;
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122 {
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123 E Tl, T10, Tf, Tm, T11, T1e;
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124 Tl = Ip[WS(rs, 3)];
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125 T10 = Td - Te;
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126 Tf = Td + Te;
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127 Tm = Im[WS(rs, 3)];
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128 Tr = Rp[WS(rs, 3)];
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129 T11 = T2 * T10;
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130 T1n = FNMS(T5, T10, T1m);
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131 T1e = T6 * Tf;
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132 Tg = FNMS(Tc, Tf, Ta);
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133 T16 = Tl + Tm;
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134 Tn = Tl - Tm;
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135 T13 = FMA(T5, T12, T11);
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136 T1f = FMA(Tc, T9, T1e);
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137 Ts = Rm[WS(rs, 3)];
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138 }
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139 To = Tk * Tn;
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140 T1o = Th * T16;
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141 }
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142 }
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143 {
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144 E T1z, T1K, T1y, T1k, T1J, T1A, T1x, T1j;
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145 {
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146 E T1w, TK, T1l, T19, T1d, T1i;
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147 {
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148 E TJ, T14, Tt, T1v, T1h;
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149 T1z = TI - TF;
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150 TJ = TF + TI;
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151 T14 = Tr - Ts;
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152 Tt = Tr + Ts;
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153 T1v = T1s + T1u;
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154 T1G = T1u - T1s;
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155 {
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156 E TZ, T1q, Tv, T18, T15;
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157 T1F = TY - TS;
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158 TZ = TS + TY;
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159 T15 = Th * T14;
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160 {
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161 E T1p, T1g, Tu, T17;
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162 T1p = FNMS(Tj, T14, T1o);
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163 T1g = Tk * Tt;
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164 Tu = FNMS(Tq, Tt, To);
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165 T17 = FMA(Tj, T16, T15);
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166 T1C = T1p - T1n;
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167 T1q = T1n + T1p;
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168 T1h = FMA(Tq, Tn, T1g);
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169 T1K = Tg - Tu;
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170 Tv = Tg + Tu;
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171 T18 = T13 + T17;
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172 T1D = T13 - T17;
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173 }
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174 T1w = T1q - T1v;
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175 T1y = T1q + T1v;
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176 TK = Tv + TJ;
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177 T1l = TJ - Tv;
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178 T1k = T18 + TZ;
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179 T19 = TZ - T18;
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180 }
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181 T1J = T1a - T1c;
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182 T1d = T1a + T1c;
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183 T1i = T1f + T1h;
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184 T1A = T1f - T1h;
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185 }
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186 Ip[0] = KP500000000 * (TK + T19);
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187 Im[WS(rs, 3)] = KP500000000 * (T19 - TK);
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188 Im[WS(rs, 1)] = KP500000000 * (T1w - T1l);
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189 T1x = T1d + T1i;
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190 T1j = T1d - T1i;
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191 Ip[WS(rs, 2)] = KP500000000 * (T1l + T1w);
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192 }
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193 Rm[WS(rs, 3)] = KP500000000 * (T1x - T1y);
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194 Rp[0] = KP500000000 * (T1x + T1y);
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195 Rp[WS(rs, 2)] = KP500000000 * (T1j + T1k);
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196 Rm[WS(rs, 1)] = KP500000000 * (T1j - T1k);
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197 T1N = T1A + T1z;
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198 T1B = T1z - T1A;
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199 T1R = T1J + T1K;
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200 T1L = T1J - T1K;
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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 E T1E, T1O, T1H, T1P;
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206 T1E = T1C + T1D;
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207 T1O = T1C - T1D;
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208 T1H = T1F - T1G;
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209 T1P = T1F + T1G;
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210 {
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211 E T1S, T1Q, T1I, T1M;
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212 T1S = T1O + T1P;
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213 T1Q = T1O - T1P;
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214 T1I = T1E + T1H;
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215 T1M = T1H - T1E;
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216 Im[0] = -(KP500000000 * (FNMS(KP707106781, T1Q, T1N)));
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217 Ip[WS(rs, 3)] = KP500000000 * (FMA(KP707106781, T1Q, T1N));
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218 Rp[WS(rs, 1)] = KP500000000 * (FMA(KP707106781, T1S, T1R));
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219 Rm[WS(rs, 2)] = KP500000000 * (FNMS(KP707106781, T1S, T1R));
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220 Rp[WS(rs, 3)] = KP500000000 * (FMA(KP707106781, T1M, T1L));
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221 Rm[0] = KP500000000 * (FNMS(KP707106781, T1M, T1L));
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222 Im[WS(rs, 2)] = -(KP500000000 * (FNMS(KP707106781, T1I, T1B)));
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223 Ip[WS(rs, 1)] = KP500000000 * (FMA(KP707106781, T1I, T1B));
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224 }
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225 }
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226 }
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227 }
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228 }
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229
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230 static const tw_instr twinstr[] = {
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231 {TW_CEXP, 1, 1},
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232 {TW_CEXP, 1, 3},
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233 {TW_CEXP, 1, 7},
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234 {TW_NEXT, 1, 0}
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235 };
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236
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237 static const hc2c_desc desc = { 8, "hc2cfdft2_8", twinstr, &GENUS, {60, 36, 30, 0} };
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238
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239 void X(codelet_hc2cfdft2_8) (planner *p) {
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240 X(khc2c_register) (p, hc2cfdft2_8, &desc, HC2C_VIA_DFT);
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241 }
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242 #else /* HAVE_FMA */
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243
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244 /* Generated by: ../../../genfft/gen_hc2cdft.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 8 -dit -name hc2cfdft2_8 -include hc2cf.h */
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245
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246 /*
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247 * This function contains 90 FP additions, 56 FP multiplications,
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248 * (or, 72 additions, 38 multiplications, 18 fused multiply/add),
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249 * 51 stack variables, 2 constants, and 32 memory accesses
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250 */
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251 #include "hc2cf.h"
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252
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253 static void hc2cfdft2_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
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254 {
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255 DK(KP353553390, +0.353553390593273762200422181052424519642417969);
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256 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
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257 {
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258 INT m;
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259 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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260 E T1, T4, T2, T5, Tu, Ty, T7, Td, Ti, Tj, Tk, TP, To, TN;
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261 {
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262 E T3, Tc, T6, Tb;
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263 T1 = W[0];
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264 T4 = W[1];
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265 T2 = W[2];
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266 T5 = W[3];
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267 T3 = T1 * T2;
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268 Tc = T4 * T2;
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269 T6 = T4 * T5;
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270 Tb = T1 * T5;
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271 Tu = T3 - T6;
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272 Ty = Tb + Tc;
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273 T7 = T3 + T6;
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274 Td = Tb - Tc;
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275 Ti = W[4];
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276 Tj = W[5];
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277 Tk = FMA(T1, Ti, T4 * Tj);
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278 TP = FNMS(Td, Ti, T7 * Tj);
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279 To = FNMS(T4, Ti, T1 * Tj);
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280 TN = FMA(T7, Ti, Td * Tj);
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281 }
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282 {
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283 E TF, T11, TC, T12, T1d, T1e, T1q, TM, TR, T1p, Th, Ts, T15, T14, T1a;
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284 E T1b, T1m, TV, TY, T1n;
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285 {
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286 E TD, TE, TL, TI, TJ, TK, Tx, TQ, TB, TO;
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287 TD = Ip[0];
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288 TE = Im[0];
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289 TL = TD + TE;
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290 TI = Rm[0];
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291 TJ = Rp[0];
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292 TK = TI - TJ;
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293 {
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294 E Tv, Tw, Tz, TA;
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295 Tv = Ip[WS(rs, 2)];
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296 Tw = Im[WS(rs, 2)];
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297 Tx = Tv - Tw;
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298 TQ = Tv + Tw;
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299 Tz = Rp[WS(rs, 2)];
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300 TA = Rm[WS(rs, 2)];
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301 TB = Tz + TA;
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302 TO = Tz - TA;
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303 }
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304 TF = TD - TE;
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305 T11 = TJ + TI;
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306 TC = FNMS(Ty, TB, Tu * Tx);
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307 T12 = FMA(Tu, TB, Ty * Tx);
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308 T1d = FNMS(TP, TO, TN * TQ);
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309 T1e = FMA(T4, TK, T1 * TL);
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310 T1q = T1e - T1d;
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311 TM = FNMS(T4, TL, T1 * TK);
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312 TR = FMA(TN, TO, TP * TQ);
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313 T1p = TR + TM;
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314 }
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315 {
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316 E Ta, TU, Tg, TT, Tn, TX, Tr, TW;
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317 {
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318 E T8, T9, Te, Tf;
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319 T8 = Ip[WS(rs, 1)];
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320 T9 = Im[WS(rs, 1)];
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321 Ta = T8 - T9;
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322 TU = T8 + T9;
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323 Te = Rp[WS(rs, 1)];
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324 Tf = Rm[WS(rs, 1)];
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325 Tg = Te + Tf;
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326 TT = Te - Tf;
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327 }
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328 {
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329 E Tl, Tm, Tp, Tq;
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330 Tl = Ip[WS(rs, 3)];
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331 Tm = Im[WS(rs, 3)];
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332 Tn = Tl - Tm;
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333 TX = Tl + Tm;
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334 Tp = Rp[WS(rs, 3)];
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335 Tq = Rm[WS(rs, 3)];
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336 Tr = Tp + Tq;
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337 TW = Tp - Tq;
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338 }
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339 Th = FNMS(Td, Tg, T7 * Ta);
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340 Ts = FNMS(To, Tr, Tk * Tn);
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341 T15 = FMA(Tk, Tr, To * Tn);
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342 T14 = FMA(T7, Tg, Td * Ta);
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343 T1a = FNMS(T5, TT, T2 * TU);
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344 T1b = FNMS(Tj, TW, Ti * TX);
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345 T1m = T1b - T1a;
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346 TV = FMA(T2, TT, T5 * TU);
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347 TY = FMA(Ti, TW, Tj * TX);
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348 T1n = TV - TY;
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349 }
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350 {
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351 E T1l, T1x, T1A, T1C, T1s, T1w, T1v, T1B;
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352 {
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353 E T1j, T1k, T1y, T1z;
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354 T1j = TF - TC;
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355 T1k = T14 - T15;
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356 T1l = KP500000000 * (T1j - T1k);
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357 T1x = KP500000000 * (T1k + T1j);
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358 T1y = T1m - T1n;
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359 T1z = T1p + T1q;
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360 T1A = KP353553390 * (T1y - T1z);
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361 T1C = KP353553390 * (T1y + T1z);
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362 }
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363 {
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364 E T1o, T1r, T1t, T1u;
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365 T1o = T1m + T1n;
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366 T1r = T1p - T1q;
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367 T1s = KP353553390 * (T1o + T1r);
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368 T1w = KP353553390 * (T1r - T1o);
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369 T1t = T11 - T12;
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370 T1u = Th - Ts;
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371 T1v = KP500000000 * (T1t - T1u);
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372 T1B = KP500000000 * (T1t + T1u);
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373 }
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374 Ip[WS(rs, 1)] = T1l + T1s;
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375 Rp[WS(rs, 1)] = T1B + T1C;
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376 Im[WS(rs, 2)] = T1s - T1l;
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377 Rm[WS(rs, 2)] = T1B - T1C;
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378 Rm[0] = T1v - T1w;
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379 Im[0] = T1A - T1x;
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380 Rp[WS(rs, 3)] = T1v + T1w;
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381 Ip[WS(rs, 3)] = T1x + T1A;
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382 }
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Chris@10
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383 {
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384 E TH, T19, T1g, T1i, T10, T18, T17, T1h;
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385 {
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386 E Tt, TG, T1c, T1f;
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387 Tt = Th + Ts;
|
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388 TG = TC + TF;
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389 TH = Tt + TG;
|
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390 T19 = TG - Tt;
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391 T1c = T1a + T1b;
|
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|
392 T1f = T1d + T1e;
|
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393 T1g = T1c - T1f;
|
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394 T1i = T1c + T1f;
|
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|
395 }
|
Chris@10
|
396 {
|
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|
397 E TS, TZ, T13, T16;
|
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|
398 TS = TM - TR;
|
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|
399 TZ = TV + TY;
|
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|
400 T10 = TS - TZ;
|
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|
401 T18 = TZ + TS;
|
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|
402 T13 = T11 + T12;
|
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|
403 T16 = T14 + T15;
|
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|
404 T17 = T13 - T16;
|
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|
405 T1h = T13 + T16;
|
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|
406 }
|
Chris@10
|
407 Ip[0] = KP500000000 * (TH + T10);
|
Chris@10
|
408 Rp[0] = KP500000000 * (T1h + T1i);
|
Chris@10
|
409 Im[WS(rs, 3)] = KP500000000 * (T10 - TH);
|
Chris@10
|
410 Rm[WS(rs, 3)] = KP500000000 * (T1h - T1i);
|
Chris@10
|
411 Rm[WS(rs, 1)] = KP500000000 * (T17 - T18);
|
Chris@10
|
412 Im[WS(rs, 1)] = KP500000000 * (T1g - T19);
|
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|
413 Rp[WS(rs, 2)] = KP500000000 * (T17 + T18);
|
Chris@10
|
414 Ip[WS(rs, 2)] = KP500000000 * (T19 + T1g);
|
Chris@10
|
415 }
|
Chris@10
|
416 }
|
Chris@10
|
417 }
|
Chris@10
|
418 }
|
Chris@10
|
419 }
|
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|
420
|
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|
421 static const tw_instr twinstr[] = {
|
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|
422 {TW_CEXP, 1, 1},
|
Chris@10
|
423 {TW_CEXP, 1, 3},
|
Chris@10
|
424 {TW_CEXP, 1, 7},
|
Chris@10
|
425 {TW_NEXT, 1, 0}
|
Chris@10
|
426 };
|
Chris@10
|
427
|
Chris@10
|
428 static const hc2c_desc desc = { 8, "hc2cfdft2_8", twinstr, &GENUS, {72, 38, 18, 0} };
|
Chris@10
|
429
|
Chris@10
|
430 void X(codelet_hc2cfdft2_8) (planner *p) {
|
Chris@10
|
431 X(khc2c_register) (p, hc2cfdft2_8, &desc, HC2C_VIA_DFT);
|
Chris@10
|
432 }
|
Chris@10
|
433 #endif /* HAVE_FMA */
|