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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 07:37:31 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_notw_c.native -fma -reorder-insns -schedule-for-pipeline -simd -compact -variables 4 -pipeline-latency 8 -sign 1 -n 16 -name n2bv_16 -with-ostride 2 -include n2b.h -store-multiple 2 */
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29
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30 /*
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31 * This function contains 72 FP additions, 34 FP multiplications,
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32 * (or, 38 additions, 0 multiplications, 34 fused multiply/add),
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33 * 62 stack variables, 3 constants, and 40 memory accesses
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34 */
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35 #include "n2b.h"
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36
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37 static void n2bv_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
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38 {
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39 DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
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40 DVK(KP414213562, +0.414213562373095048801688724209698078569671875);
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41 DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
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42 {
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43 INT i;
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44 const R *xi;
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45 R *xo;
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46 xi = ii;
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47 xo = io;
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48 for (i = v; i > 0; i = i - VL, xi = xi + (VL * ivs), xo = xo + (VL * ovs), MAKE_VOLATILE_STRIDE(32, is), MAKE_VOLATILE_STRIDE(32, os)) {
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49 V T7, Tu, TF, TB, T13, TL, TO, TX, TC, Te, TP, Th, TQ, Tk, TW;
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50 V T16;
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51 {
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52 V TH, TU, Tz, Tf, TK, TV, TA, TM, Ta, TN, Td, Tg, Ti, Tj;
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53 {
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54 V T1, T2, T4, T5, To, Tp, Tr, Ts;
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55 T1 = LD(&(xi[0]), ivs, &(xi[0]));
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56 T2 = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
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57 T4 = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
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58 T5 = LD(&(xi[WS(is, 12)]), ivs, &(xi[0]));
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59 To = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
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60 Tp = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
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61 Tr = LD(&(xi[WS(is, 14)]), ivs, &(xi[0]));
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62 Ts = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
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63 {
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64 V T8, TI, Tq, TJ, Tt, T9, Tb, Tc, T3, T6;
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65 T8 = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
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66 TH = VSUB(T1, T2);
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67 T3 = VADD(T1, T2);
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68 TU = VSUB(T4, T5);
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69 T6 = VADD(T4, T5);
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70 TI = VSUB(To, Tp);
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71 Tq = VADD(To, Tp);
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72 TJ = VSUB(Tr, Ts);
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73 Tt = VADD(Tr, Ts);
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74 T9 = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
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75 Tb = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
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76 Tc = LD(&(xi[WS(is, 13)]), ivs, &(xi[WS(is, 1)]));
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77 T7 = VSUB(T3, T6);
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78 Tz = VADD(T3, T6);
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79 Tf = LD(&(xi[WS(is, 15)]), ivs, &(xi[WS(is, 1)]));
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80 TK = VADD(TI, TJ);
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81 TV = VSUB(TI, TJ);
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82 TA = VADD(Tq, Tt);
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83 Tu = VSUB(Tq, Tt);
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84 TM = VSUB(T8, T9);
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85 Ta = VADD(T8, T9);
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86 TN = VSUB(Tb, Tc);
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87 Td = VADD(Tb, Tc);
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88 Tg = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
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89 Ti = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
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90 Tj = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
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91 }
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92 }
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93 TF = VADD(Tz, TA);
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94 TB = VSUB(Tz, TA);
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95 T13 = VFNMS(LDK(KP707106781), TK, TH);
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96 TL = VFMA(LDK(KP707106781), TK, TH);
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97 TO = VFNMS(LDK(KP414213562), TN, TM);
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98 TX = VFMA(LDK(KP414213562), TM, TN);
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99 TC = VADD(Ta, Td);
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100 Te = VSUB(Ta, Td);
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101 TP = VSUB(Tf, Tg);
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102 Th = VADD(Tf, Tg);
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103 TQ = VSUB(Tj, Ti);
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104 Tk = VADD(Ti, Tj);
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105 TW = VFMA(LDK(KP707106781), TV, TU);
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106 T16 = VFNMS(LDK(KP707106781), TV, TU);
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107 }
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108 {
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109 V TY, TR, Tl, TD;
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110 TY = VFMA(LDK(KP414213562), TP, TQ);
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111 TR = VFNMS(LDK(KP414213562), TQ, TP);
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112 Tl = VSUB(Th, Tk);
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113 TD = VADD(Th, Tk);
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114 {
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115 V TS, T17, TZ, T14;
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116 TS = VADD(TO, TR);
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117 T17 = VSUB(TO, TR);
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118 TZ = VSUB(TX, TY);
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119 T14 = VADD(TX, TY);
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120 {
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121 V TE, TG, Tm, Tv;
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122 TE = VSUB(TC, TD);
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123 TG = VADD(TC, TD);
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124 Tm = VADD(Te, Tl);
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125 Tv = VSUB(Te, Tl);
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126 {
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127 V T18, T1a, TT, T11;
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128 T18 = VFMA(LDK(KP923879532), T17, T16);
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129 T1a = VFNMS(LDK(KP923879532), T17, T16);
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130 TT = VFNMS(LDK(KP923879532), TS, TL);
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131 T11 = VFMA(LDK(KP923879532), TS, TL);
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132 {
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133 V T15, T19, T10, T12;
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134 T15 = VFNMS(LDK(KP923879532), T14, T13);
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135 T19 = VFMA(LDK(KP923879532), T14, T13);
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136 T10 = VFNMS(LDK(KP923879532), TZ, TW);
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137 T12 = VFMA(LDK(KP923879532), TZ, TW);
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138 {
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139 V T1b, T1c, T1d, T1e;
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140 T1b = VADD(TF, TG);
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141 STM2(&(xo[0]), T1b, ovs, &(xo[0]));
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142 T1c = VSUB(TF, TG);
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143 STM2(&(xo[16]), T1c, ovs, &(xo[0]));
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144 T1d = VFMAI(TE, TB);
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145 STM2(&(xo[8]), T1d, ovs, &(xo[0]));
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146 T1e = VFNMSI(TE, TB);
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147 STM2(&(xo[24]), T1e, ovs, &(xo[0]));
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148 {
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149 V Tw, Ty, Tn, Tx;
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150 Tw = VFNMS(LDK(KP707106781), Tv, Tu);
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151 Ty = VFMA(LDK(KP707106781), Tv, Tu);
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152 Tn = VFNMS(LDK(KP707106781), Tm, T7);
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153 Tx = VFMA(LDK(KP707106781), Tm, T7);
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154 {
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155 V T1f, T1g, T1h, T1i;
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156 T1f = VFNMSI(T1a, T19);
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157 STM2(&(xo[6]), T1f, ovs, &(xo[2]));
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158 T1g = VFMAI(T1a, T19);
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159 STM2(&(xo[26]), T1g, ovs, &(xo[2]));
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160 STN2(&(xo[24]), T1e, T1g, ovs);
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161 T1h = VFNMSI(T18, T15);
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162 STM2(&(xo[22]), T1h, ovs, &(xo[2]));
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163 T1i = VFMAI(T18, T15);
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164 STM2(&(xo[10]), T1i, ovs, &(xo[2]));
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165 STN2(&(xo[8]), T1d, T1i, ovs);
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166 {
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167 V T1j, T1k, T1l, T1m;
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168 T1j = VFNMSI(T12, T11);
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169 STM2(&(xo[30]), T1j, ovs, &(xo[2]));
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170 T1k = VFMAI(T12, T11);
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171 STM2(&(xo[2]), T1k, ovs, &(xo[2]));
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172 STN2(&(xo[0]), T1b, T1k, ovs);
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173 T1l = VFMAI(T10, TT);
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174 STM2(&(xo[18]), T1l, ovs, &(xo[2]));
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175 STN2(&(xo[16]), T1c, T1l, ovs);
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176 T1m = VFNMSI(T10, TT);
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177 STM2(&(xo[14]), T1m, ovs, &(xo[2]));
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178 {
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179 V T1n, T1o, T1p, T1q;
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180 T1n = VFMAI(Ty, Tx);
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181 STM2(&(xo[4]), T1n, ovs, &(xo[0]));
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182 STN2(&(xo[4]), T1n, T1f, ovs);
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183 T1o = VFNMSI(Ty, Tx);
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184 STM2(&(xo[28]), T1o, ovs, &(xo[0]));
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185 STN2(&(xo[28]), T1o, T1j, ovs);
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186 T1p = VFMAI(Tw, Tn);
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187 STM2(&(xo[20]), T1p, ovs, &(xo[0]));
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188 STN2(&(xo[20]), T1p, T1h, ovs);
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189 T1q = VFNMSI(Tw, Tn);
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190 STM2(&(xo[12]), T1q, ovs, &(xo[0]));
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191 STN2(&(xo[12]), T1q, T1m, ovs);
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192 }
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193 }
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194 }
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195 }
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196 }
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197 }
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198 }
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199 }
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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 VLEAVE();
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205 }
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206
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207 static const kdft_desc desc = { 16, XSIMD_STRING("n2bv_16"), {38, 0, 34, 0}, &GENUS, 0, 2, 0, 0 };
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208
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209 void XSIMD(codelet_n2bv_16) (planner *p) {
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210 X(kdft_register) (p, n2bv_16, &desc);
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211 }
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212
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213 #else /* HAVE_FMA */
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214
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215 /* Generated by: ../../../genfft/gen_notw_c.native -simd -compact -variables 4 -pipeline-latency 8 -sign 1 -n 16 -name n2bv_16 -with-ostride 2 -include n2b.h -store-multiple 2 */
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216
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217 /*
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218 * This function contains 72 FP additions, 12 FP multiplications,
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219 * (or, 68 additions, 8 multiplications, 4 fused multiply/add),
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220 * 38 stack variables, 3 constants, and 40 memory accesses
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221 */
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222 #include "n2b.h"
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223
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224 static void n2bv_16(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
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225 {
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226 DVK(KP382683432, +0.382683432365089771728459984030398866761344562);
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227 DVK(KP923879532, +0.923879532511286756128183189396788286822416626);
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228 DVK(KP707106781, +0.707106781186547524400844362104849039284835938);
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229 {
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230 INT i;
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231 const R *xi;
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232 R *xo;
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233 xi = ii;
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234 xo = io;
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235 for (i = v; i > 0; i = i - VL, xi = xi + (VL * ivs), xo = xo + (VL * ovs), MAKE_VOLATILE_STRIDE(32, is), MAKE_VOLATILE_STRIDE(32, os)) {
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236 V Tp, T13, Tu, TY, Tm, T14, Tv, TU, T7, T16, Tx, TN, Te, T17, Ty;
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237 V TQ;
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238 {
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239 V Tn, To, TX, Ts, Tt, TW;
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240 Tn = LD(&(xi[WS(is, 4)]), ivs, &(xi[0]));
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241 To = LD(&(xi[WS(is, 12)]), ivs, &(xi[0]));
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242 TX = VADD(Tn, To);
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243 Ts = LD(&(xi[0]), ivs, &(xi[0]));
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244 Tt = LD(&(xi[WS(is, 8)]), ivs, &(xi[0]));
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245 TW = VADD(Ts, Tt);
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246 Tp = VSUB(Tn, To);
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247 T13 = VADD(TW, TX);
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248 Tu = VSUB(Ts, Tt);
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249 TY = VSUB(TW, TX);
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250 }
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251 {
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252 V Ti, TS, Tl, TT;
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253 {
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254 V Tg, Th, Tj, Tk;
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255 Tg = LD(&(xi[WS(is, 2)]), ivs, &(xi[0]));
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256 Th = LD(&(xi[WS(is, 10)]), ivs, &(xi[0]));
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257 Ti = VSUB(Tg, Th);
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258 TS = VADD(Tg, Th);
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259 Tj = LD(&(xi[WS(is, 14)]), ivs, &(xi[0]));
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260 Tk = LD(&(xi[WS(is, 6)]), ivs, &(xi[0]));
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261 Tl = VSUB(Tj, Tk);
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262 TT = VADD(Tj, Tk);
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263 }
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264 Tm = VMUL(LDK(KP707106781), VSUB(Ti, Tl));
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265 T14 = VADD(TS, TT);
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266 Tv = VMUL(LDK(KP707106781), VADD(Ti, Tl));
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267 TU = VSUB(TS, TT);
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268 }
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269 {
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270 V T3, TL, T6, TM;
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271 {
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272 V T1, T2, T4, T5;
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273 T1 = LD(&(xi[WS(is, 1)]), ivs, &(xi[WS(is, 1)]));
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274 T2 = LD(&(xi[WS(is, 9)]), ivs, &(xi[WS(is, 1)]));
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275 T3 = VSUB(T1, T2);
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276 TL = VADD(T1, T2);
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277 T4 = LD(&(xi[WS(is, 5)]), ivs, &(xi[WS(is, 1)]));
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278 T5 = LD(&(xi[WS(is, 13)]), ivs, &(xi[WS(is, 1)]));
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279 T6 = VSUB(T4, T5);
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280 TM = VADD(T4, T5);
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281 }
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282 T7 = VFNMS(LDK(KP382683432), T6, VMUL(LDK(KP923879532), T3));
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283 T16 = VADD(TL, TM);
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284 Tx = VFMA(LDK(KP382683432), T3, VMUL(LDK(KP923879532), T6));
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285 TN = VSUB(TL, TM);
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286 }
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287 {
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288 V Ta, TO, Td, TP;
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289 {
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290 V T8, T9, Tb, Tc;
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291 T8 = LD(&(xi[WS(is, 15)]), ivs, &(xi[WS(is, 1)]));
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292 T9 = LD(&(xi[WS(is, 7)]), ivs, &(xi[WS(is, 1)]));
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Chris@10
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293 Ta = VSUB(T8, T9);
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Chris@10
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294 TO = VADD(T8, T9);
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Chris@10
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295 Tb = LD(&(xi[WS(is, 3)]), ivs, &(xi[WS(is, 1)]));
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Chris@10
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296 Tc = LD(&(xi[WS(is, 11)]), ivs, &(xi[WS(is, 1)]));
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Chris@10
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297 Td = VSUB(Tb, Tc);
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Chris@10
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298 TP = VADD(Tb, Tc);
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Chris@10
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299 }
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Chris@10
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300 Te = VFMA(LDK(KP923879532), Ta, VMUL(LDK(KP382683432), Td));
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Chris@10
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301 T17 = VADD(TO, TP);
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Chris@10
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302 Ty = VFNMS(LDK(KP382683432), Ta, VMUL(LDK(KP923879532), Td));
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Chris@10
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303 TQ = VSUB(TO, TP);
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Chris@10
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304 }
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Chris@10
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305 {
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Chris@10
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306 V T1b, T1c, T1d, T1e;
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Chris@10
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307 {
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Chris@10
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308 V T15, T18, T19, T1a;
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Chris@10
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309 T15 = VSUB(T13, T14);
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Chris@10
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310 T18 = VBYI(VSUB(T16, T17));
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Chris@10
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311 T1b = VSUB(T15, T18);
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Chris@10
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312 STM2(&(xo[24]), T1b, ovs, &(xo[0]));
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Chris@10
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313 T1c = VADD(T15, T18);
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Chris@10
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314 STM2(&(xo[8]), T1c, ovs, &(xo[0]));
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Chris@10
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315 T19 = VADD(T13, T14);
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Chris@10
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316 T1a = VADD(T16, T17);
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Chris@10
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317 T1d = VSUB(T19, T1a);
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Chris@10
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318 STM2(&(xo[16]), T1d, ovs, &(xo[0]));
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Chris@10
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319 T1e = VADD(T19, T1a);
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Chris@10
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320 STM2(&(xo[0]), T1e, ovs, &(xo[0]));
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Chris@10
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321 }
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Chris@10
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322 {
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Chris@10
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323 V T1f, T1g, T1h, T1i;
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Chris@10
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324 {
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Chris@10
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325 V TV, T11, T10, T12, TR, TZ;
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Chris@10
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326 TR = VMUL(LDK(KP707106781), VSUB(TN, TQ));
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Chris@10
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327 TV = VBYI(VSUB(TR, TU));
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Chris@10
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328 T11 = VBYI(VADD(TU, TR));
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Chris@10
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329 TZ = VMUL(LDK(KP707106781), VADD(TN, TQ));
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Chris@10
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330 T10 = VSUB(TY, TZ);
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Chris@10
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331 T12 = VADD(TY, TZ);
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Chris@10
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332 T1f = VADD(TV, T10);
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Chris@10
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333 STM2(&(xo[12]), T1f, ovs, &(xo[0]));
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Chris@10
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334 T1g = VSUB(T12, T11);
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Chris@10
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335 STM2(&(xo[28]), T1g, ovs, &(xo[0]));
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Chris@10
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336 T1h = VSUB(T10, TV);
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Chris@10
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337 STM2(&(xo[20]), T1h, ovs, &(xo[0]));
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Chris@10
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338 T1i = VADD(T11, T12);
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Chris@10
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339 STM2(&(xo[4]), T1i, ovs, &(xo[0]));
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Chris@10
|
340 }
|
Chris@10
|
341 {
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Chris@10
|
342 V Tr, TB, TA, TC;
|
Chris@10
|
343 {
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Chris@10
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344 V Tf, Tq, Tw, Tz;
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Chris@10
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345 Tf = VSUB(T7, Te);
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Chris@10
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346 Tq = VSUB(Tm, Tp);
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Chris@10
|
347 Tr = VBYI(VSUB(Tf, Tq));
|
Chris@10
|
348 TB = VBYI(VADD(Tq, Tf));
|
Chris@10
|
349 Tw = VSUB(Tu, Tv);
|
Chris@10
|
350 Tz = VSUB(Tx, Ty);
|
Chris@10
|
351 TA = VSUB(Tw, Tz);
|
Chris@10
|
352 TC = VADD(Tw, Tz);
|
Chris@10
|
353 }
|
Chris@10
|
354 {
|
Chris@10
|
355 V T1j, T1k, T1l, T1m;
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Chris@10
|
356 T1j = VADD(Tr, TA);
|
Chris@10
|
357 STM2(&(xo[10]), T1j, ovs, &(xo[2]));
|
Chris@10
|
358 STN2(&(xo[8]), T1c, T1j, ovs);
|
Chris@10
|
359 T1k = VSUB(TC, TB);
|
Chris@10
|
360 STM2(&(xo[26]), T1k, ovs, &(xo[2]));
|
Chris@10
|
361 STN2(&(xo[24]), T1b, T1k, ovs);
|
Chris@10
|
362 T1l = VSUB(TA, Tr);
|
Chris@10
|
363 STM2(&(xo[22]), T1l, ovs, &(xo[2]));
|
Chris@10
|
364 STN2(&(xo[20]), T1h, T1l, ovs);
|
Chris@10
|
365 T1m = VADD(TB, TC);
|
Chris@10
|
366 STM2(&(xo[6]), T1m, ovs, &(xo[2]));
|
Chris@10
|
367 STN2(&(xo[4]), T1i, T1m, ovs);
|
Chris@10
|
368 }
|
Chris@10
|
369 }
|
Chris@10
|
370 {
|
Chris@10
|
371 V TF, TJ, TI, TK;
|
Chris@10
|
372 {
|
Chris@10
|
373 V TD, TE, TG, TH;
|
Chris@10
|
374 TD = VADD(Tu, Tv);
|
Chris@10
|
375 TE = VADD(T7, Te);
|
Chris@10
|
376 TF = VADD(TD, TE);
|
Chris@10
|
377 TJ = VSUB(TD, TE);
|
Chris@10
|
378 TG = VADD(Tp, Tm);
|
Chris@10
|
379 TH = VADD(Tx, Ty);
|
Chris@10
|
380 TI = VBYI(VADD(TG, TH));
|
Chris@10
|
381 TK = VBYI(VSUB(TH, TG));
|
Chris@10
|
382 }
|
Chris@10
|
383 {
|
Chris@10
|
384 V T1n, T1o, T1p, T1q;
|
Chris@10
|
385 T1n = VSUB(TF, TI);
|
Chris@10
|
386 STM2(&(xo[30]), T1n, ovs, &(xo[2]));
|
Chris@10
|
387 STN2(&(xo[28]), T1g, T1n, ovs);
|
Chris@10
|
388 T1o = VADD(TJ, TK);
|
Chris@10
|
389 STM2(&(xo[14]), T1o, ovs, &(xo[2]));
|
Chris@10
|
390 STN2(&(xo[12]), T1f, T1o, ovs);
|
Chris@10
|
391 T1p = VADD(TF, TI);
|
Chris@10
|
392 STM2(&(xo[2]), T1p, ovs, &(xo[2]));
|
Chris@10
|
393 STN2(&(xo[0]), T1e, T1p, ovs);
|
Chris@10
|
394 T1q = VSUB(TJ, TK);
|
Chris@10
|
395 STM2(&(xo[18]), T1q, ovs, &(xo[2]));
|
Chris@10
|
396 STN2(&(xo[16]), T1d, T1q, ovs);
|
Chris@10
|
397 }
|
Chris@10
|
398 }
|
Chris@10
|
399 }
|
Chris@10
|
400 }
|
Chris@10
|
401 }
|
Chris@10
|
402 }
|
Chris@10
|
403 VLEAVE();
|
Chris@10
|
404 }
|
Chris@10
|
405
|
Chris@10
|
406 static const kdft_desc desc = { 16, XSIMD_STRING("n2bv_16"), {68, 8, 4, 0}, &GENUS, 0, 2, 0, 0 };
|
Chris@10
|
407
|
Chris@10
|
408 void XSIMD(codelet_n2bv_16) (planner *p) {
|
Chris@10
|
409 X(kdft_register) (p, n2bv_16, &desc);
|
Chris@10
|
410 }
|
Chris@10
|
411
|
Chris@10
|
412 #endif /* HAVE_FMA */
|