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1 /*
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2 * Copyright (c) 2003, 2007-14 Matteo Frigo
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3 * Copyright (c) 2003, 2007-14 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 Thu May 24 08:04:10 EDT 2018 */
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23
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24 #include "dft/codelet-dft.h"
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25
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26 #if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
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27
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28 /* Generated by: ../../../genfft/gen_notw.native -fma -compact -variables 4 -pipeline-latency 4 -n 14 -name n1_14 -include dft/scalar/n.h */
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29
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30 /*
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31 * This function contains 148 FP additions, 84 FP multiplications,
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32 * (or, 64 additions, 0 multiplications, 84 fused multiply/add),
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33 * 67 stack variables, 6 constants, and 56 memory accesses
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34 */
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35 #include "dft/scalar/n.h"
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36
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37 static void n1_14(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 DK(KP974927912, +0.974927912181823607018131682993931217232785801);
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40 DK(KP801937735, +0.801937735804838252472204639014890102331838324);
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41 DK(KP554958132, +0.554958132087371191422194871006410481067288862);
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42 DK(KP900968867, +0.900968867902419126236102319507445051165919162);
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43 DK(KP692021471, +0.692021471630095869627814897002069140197260599);
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44 DK(KP356895867, +0.356895867892209443894399510021300583399127187);
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45 {
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46 INT i;
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47 for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(56, is), MAKE_VOLATILE_STRIDE(56, os)) {
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48 E T3, Tp, T1b, T1x, T1i, T1L, T1M, T1j, T1k, T1K, Ta, To, Th, Tz, T14;
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49 E TZ, Ts, Ty, Tv, T1Z, T2c, T27, TI, T23, T24, TP, TW, T22, T1c, T1e;
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50 E T1d, T1f, T1s, T1n, T1A, T1G, T1D, T1H, T1U, T1P;
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51 {
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52 E T1, T2, T19, T1a;
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53 T1 = ri[0];
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54 T2 = ri[WS(is, 7)];
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55 T3 = T1 - T2;
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56 Tp = T1 + T2;
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57 T19 = ii[0];
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58 T1a = ii[WS(is, 7)];
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59 T1b = T19 - T1a;
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60 T1x = T19 + T1a;
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61 }
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62 {
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63 E T6, Tq, T9, Tr, Tn, Tx, Tk, Tw, Tg, Tu, Td, Tt;
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64 {
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65 E T4, T5, Ti, Tj;
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66 T4 = ri[WS(is, 2)];
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67 T5 = ri[WS(is, 9)];
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68 T6 = T4 - T5;
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69 Tq = T4 + T5;
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70 {
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71 E T7, T8, Tl, Tm;
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72 T7 = ri[WS(is, 12)];
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73 T8 = ri[WS(is, 5)];
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74 T9 = T7 - T8;
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75 Tr = T7 + T8;
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76 Tl = ri[WS(is, 8)];
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77 Tm = ri[WS(is, 1)];
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78 Tn = Tl - Tm;
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79 Tx = Tl + Tm;
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80 }
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81 Ti = ri[WS(is, 6)];
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82 Tj = ri[WS(is, 13)];
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83 Tk = Ti - Tj;
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84 Tw = Ti + Tj;
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85 {
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86 E Te, Tf, Tb, Tc;
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87 Te = ri[WS(is, 10)];
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88 Tf = ri[WS(is, 3)];
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89 Tg = Te - Tf;
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90 Tu = Te + Tf;
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91 Tb = ri[WS(is, 4)];
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92 Tc = ri[WS(is, 11)];
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93 Td = Tb - Tc;
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94 Tt = Tb + Tc;
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95 }
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96 }
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97 T1i = Tn - Tk;
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98 T1L = Tt - Tu;
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99 T1M = Tr - Tq;
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100 T1j = Tg - Td;
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101 T1k = T9 - T6;
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102 T1K = Tw - Tx;
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103 Ta = T6 + T9;
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104 To = Tk + Tn;
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105 Th = Td + Tg;
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106 Tz = FNMS(KP356895867, Th, Ta);
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107 T14 = FNMS(KP356895867, To, Th);
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108 TZ = FNMS(KP356895867, Ta, To);
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109 Ts = Tq + Tr;
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110 Ty = Tw + Tx;
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111 Tv = Tt + Tu;
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112 T1Z = FNMS(KP356895867, Ts, Ty);
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113 T2c = FNMS(KP356895867, Ty, Tv);
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114 T27 = FNMS(KP356895867, Tv, Ts);
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115 }
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116 {
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117 E TE, T1B, TH, T1C, TV, T1F, TS, T1E, TO, T1z, TL, T1y;
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118 {
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119 E TC, TD, TQ, TR;
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120 TC = ii[WS(is, 4)];
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121 TD = ii[WS(is, 11)];
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122 TE = TC - TD;
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123 T1B = TC + TD;
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124 {
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125 E TF, TG, TT, TU;
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126 TF = ii[WS(is, 10)];
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127 TG = ii[WS(is, 3)];
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128 TH = TF - TG;
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129 T1C = TF + TG;
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130 TT = ii[WS(is, 8)];
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131 TU = ii[WS(is, 1)];
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132 TV = TT - TU;
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133 T1F = TT + TU;
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134 }
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135 TQ = ii[WS(is, 6)];
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136 TR = ii[WS(is, 13)];
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137 TS = TQ - TR;
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138 T1E = TQ + TR;
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139 {
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140 E TM, TN, TJ, TK;
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141 TM = ii[WS(is, 12)];
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142 TN = ii[WS(is, 5)];
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143 TO = TM - TN;
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144 T1z = TM + TN;
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145 TJ = ii[WS(is, 2)];
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146 TK = ii[WS(is, 9)];
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147 TL = TJ - TK;
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148 T1y = TJ + TK;
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149 }
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150 }
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151 TI = TE - TH;
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152 T23 = T1F - T1E;
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153 T24 = T1C - T1B;
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154 TP = TL - TO;
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155 TW = TS - TV;
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156 T22 = T1y - T1z;
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157 T1c = TL + TO;
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158 T1e = TS + TV;
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159 T1d = TE + TH;
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160 T1f = FNMS(KP356895867, T1e, T1d);
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161 T1s = FNMS(KP356895867, T1d, T1c);
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162 T1n = FNMS(KP356895867, T1c, T1e);
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163 T1A = T1y + T1z;
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164 T1G = T1E + T1F;
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165 T1D = T1B + T1C;
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166 T1H = FNMS(KP356895867, T1G, T1D);
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167 T1U = FNMS(KP356895867, T1D, T1A);
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168 T1P = FNMS(KP356895867, T1A, T1G);
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169 }
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170 ro[WS(os, 7)] = T3 + Ta + Th + To;
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171 io[WS(os, 7)] = T1b + T1c + T1d + T1e;
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172 ro[0] = Tp + Ts + Tv + Ty;
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173 io[0] = T1x + T1A + T1D + T1G;
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174 {
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175 E TB, TY, TA, TX;
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176 TA = FNMS(KP692021471, Tz, To);
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177 TB = FNMS(KP900968867, TA, T3);
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178 TX = FMA(KP554958132, TW, TP);
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179 TY = FMA(KP801937735, TX, TI);
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180 ro[WS(os, 13)] = FNMS(KP974927912, TY, TB);
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181 ro[WS(os, 1)] = FMA(KP974927912, TY, TB);
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182 }
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183 {
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184 E T1u, T1w, T1t, T1v;
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185 T1t = FNMS(KP692021471, T1s, T1e);
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186 T1u = FNMS(KP900968867, T1t, T1b);
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187 T1v = FMA(KP554958132, T1i, T1k);
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188 T1w = FMA(KP801937735, T1v, T1j);
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189 io[WS(os, 1)] = FMA(KP974927912, T1w, T1u);
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190 io[WS(os, 13)] = FNMS(KP974927912, T1w, T1u);
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191 }
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192 {
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193 E T11, T13, T10, T12;
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194 T10 = FNMS(KP692021471, TZ, Th);
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195 T11 = FNMS(KP900968867, T10, T3);
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196 T12 = FMA(KP554958132, TI, TW);
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197 T13 = FNMS(KP801937735, T12, TP);
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198 ro[WS(os, 5)] = FNMS(KP974927912, T13, T11);
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199 ro[WS(os, 9)] = FMA(KP974927912, T13, T11);
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200 }
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201 {
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202 E T1p, T1r, T1o, T1q;
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203 T1o = FNMS(KP692021471, T1n, T1d);
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204 T1p = FNMS(KP900968867, T1o, T1b);
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205 T1q = FMA(KP554958132, T1j, T1i);
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206 T1r = FNMS(KP801937735, T1q, T1k);
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207 io[WS(os, 5)] = FNMS(KP974927912, T1r, T1p);
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208 io[WS(os, 9)] = FMA(KP974927912, T1r, T1p);
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209 }
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210 {
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211 E T16, T18, T15, T17;
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212 T15 = FNMS(KP692021471, T14, Ta);
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213 T16 = FNMS(KP900968867, T15, T3);
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214 T17 = FNMS(KP554958132, TP, TI);
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215 T18 = FNMS(KP801937735, T17, TW);
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216 ro[WS(os, 11)] = FNMS(KP974927912, T18, T16);
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217 ro[WS(os, 3)] = FMA(KP974927912, T18, T16);
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218 }
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219 {
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220 E T1h, T1m, T1g, T1l;
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221 T1g = FNMS(KP692021471, T1f, T1c);
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222 T1h = FNMS(KP900968867, T1g, T1b);
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223 T1l = FNMS(KP554958132, T1k, T1j);
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224 T1m = FNMS(KP801937735, T1l, T1i);
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225 io[WS(os, 3)] = FMA(KP974927912, T1m, T1h);
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226 io[WS(os, 11)] = FNMS(KP974927912, T1m, T1h);
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227 }
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228 {
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229 E T1J, T1O, T1I, T1N;
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230 T1I = FNMS(KP692021471, T1H, T1A);
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231 T1J = FNMS(KP900968867, T1I, T1x);
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232 T1N = FMA(KP554958132, T1M, T1L);
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233 T1O = FNMS(KP801937735, T1N, T1K);
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234 io[WS(os, 4)] = FMA(KP974927912, T1O, T1J);
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235 io[WS(os, 10)] = FNMS(KP974927912, T1O, T1J);
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236 }
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237 {
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238 E T2e, T2g, T2d, T2f;
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239 T2d = FNMS(KP692021471, T2c, Ts);
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240 T2e = FNMS(KP900968867, T2d, Tp);
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241 T2f = FMA(KP554958132, T22, T24);
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242 T2g = FNMS(KP801937735, T2f, T23);
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243 ro[WS(os, 10)] = FNMS(KP974927912, T2g, T2e);
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244 ro[WS(os, 4)] = FMA(KP974927912, T2g, T2e);
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245 }
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246 {
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247 E T1R, T1T, T1Q, T1S;
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248 T1Q = FNMS(KP692021471, T1P, T1D);
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249 T1R = FNMS(KP900968867, T1Q, T1x);
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250 T1S = FMA(KP554958132, T1L, T1K);
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251 T1T = FMA(KP801937735, T1S, T1M);
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252 io[WS(os, 2)] = FMA(KP974927912, T1T, T1R);
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253 io[WS(os, 12)] = FNMS(KP974927912, T1T, T1R);
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254 }
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255 {
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256 E T21, T26, T20, T25;
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257 T20 = FNMS(KP692021471, T1Z, Tv);
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258 T21 = FNMS(KP900968867, T20, Tp);
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259 T25 = FMA(KP554958132, T24, T23);
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260 T26 = FMA(KP801937735, T25, T22);
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261 ro[WS(os, 12)] = FNMS(KP974927912, T26, T21);
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262 ro[WS(os, 2)] = FMA(KP974927912, T26, T21);
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263 }
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264 {
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265 E T1W, T1Y, T1V, T1X;
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266 T1V = FNMS(KP692021471, T1U, T1G);
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267 T1W = FNMS(KP900968867, T1V, T1x);
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268 T1X = FNMS(KP554958132, T1K, T1M);
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269 T1Y = FNMS(KP801937735, T1X, T1L);
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270 io[WS(os, 6)] = FMA(KP974927912, T1Y, T1W);
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271 io[WS(os, 8)] = FNMS(KP974927912, T1Y, T1W);
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272 }
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273 {
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274 E T29, T2b, T28, T2a;
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275 T28 = FNMS(KP692021471, T27, Ty);
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276 T29 = FNMS(KP900968867, T28, Tp);
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277 T2a = FNMS(KP554958132, T23, T22);
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278 T2b = FNMS(KP801937735, T2a, T24);
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279 ro[WS(os, 8)] = FNMS(KP974927912, T2b, T29);
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280 ro[WS(os, 6)] = FMA(KP974927912, T2b, T29);
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281 }
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282 }
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283 }
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284 }
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285
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286 static const kdft_desc desc = { 14, "n1_14", {64, 0, 84, 0}, &GENUS, 0, 0, 0, 0 };
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287
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288 void X(codelet_n1_14) (planner *p) {
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289 X(kdft_register) (p, n1_14, &desc);
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290 }
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291
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292 #else
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293
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294 /* Generated by: ../../../genfft/gen_notw.native -compact -variables 4 -pipeline-latency 4 -n 14 -name n1_14 -include dft/scalar/n.h */
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295
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296 /*
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297 * This function contains 148 FP additions, 72 FP multiplications,
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298 * (or, 100 additions, 24 multiplications, 48 fused multiply/add),
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299 * 43 stack variables, 6 constants, and 56 memory accesses
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300 */
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301 #include "dft/scalar/n.h"
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302
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303 static void n1_14(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
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304 {
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305 DK(KP222520933, +0.222520933956314404288902564496794759466355569);
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306 DK(KP900968867, +0.900968867902419126236102319507445051165919162);
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307 DK(KP623489801, +0.623489801858733530525004884004239810632274731);
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308 DK(KP433883739, +0.433883739117558120475768332848358754609990728);
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309 DK(KP781831482, +0.781831482468029808708444526674057750232334519);
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310 DK(KP974927912, +0.974927912181823607018131682993931217232785801);
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311 {
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312 INT i;
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313 for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(56, is), MAKE_VOLATILE_STRIDE(56, os)) {
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314 E T3, Tp, T16, T1f, Ta, T1q, Ts, T10, TG, T1z, T19, T1i, Th, T1s, Tv;
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315 E T12, TU, T1B, T17, T1o, To, T1r, Ty, T11, TN, T1A, T18, T1l;
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316 {
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317 E T1, T2, T14, T15;
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318 T1 = ri[0];
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319 T2 = ri[WS(is, 7)];
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320 T3 = T1 - T2;
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321 Tp = T1 + T2;
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322 T14 = ii[0];
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323 T15 = ii[WS(is, 7)];
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324 T16 = T14 - T15;
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325 T1f = T14 + T15;
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326 }
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327 {
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328 E T6, Tq, T9, Tr;
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329 {
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330 E T4, T5, T7, T8;
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331 T4 = ri[WS(is, 2)];
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332 T5 = ri[WS(is, 9)];
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333 T6 = T4 - T5;
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334 Tq = T4 + T5;
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335 T7 = ri[WS(is, 12)];
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336 T8 = ri[WS(is, 5)];
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337 T9 = T7 - T8;
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338 Tr = T7 + T8;
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339 }
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340 Ta = T6 + T9;
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341 T1q = Tr - Tq;
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342 Ts = Tq + Tr;
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343 T10 = T9 - T6;
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344 }
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345 {
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346 E TC, T1g, TF, T1h;
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347 {
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348 E TA, TB, TD, TE;
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349 TA = ii[WS(is, 2)];
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350 TB = ii[WS(is, 9)];
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351 TC = TA - TB;
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352 T1g = TA + TB;
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353 TD = ii[WS(is, 12)];
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354 TE = ii[WS(is, 5)];
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355 TF = TD - TE;
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356 T1h = TD + TE;
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357 }
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358 TG = TC - TF;
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359 T1z = T1g - T1h;
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360 T19 = TC + TF;
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361 T1i = T1g + T1h;
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362 }
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363 {
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364 E Td, Tt, Tg, Tu;
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365 {
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366 E Tb, Tc, Te, Tf;
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367 Tb = ri[WS(is, 4)];
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368 Tc = ri[WS(is, 11)];
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369 Td = Tb - Tc;
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370 Tt = Tb + Tc;
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371 Te = ri[WS(is, 10)];
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372 Tf = ri[WS(is, 3)];
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373 Tg = Te - Tf;
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374 Tu = Te + Tf;
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375 }
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376 Th = Td + Tg;
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377 T1s = Tt - Tu;
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378 Tv = Tt + Tu;
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379 T12 = Tg - Td;
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380 }
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381 {
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382 E TQ, T1m, TT, T1n;
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383 {
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384 E TO, TP, TR, TS;
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385 TO = ii[WS(is, 4)];
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386 TP = ii[WS(is, 11)];
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387 TQ = TO - TP;
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388 T1m = TO + TP;
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389 TR = ii[WS(is, 10)];
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390 TS = ii[WS(is, 3)];
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391 TT = TR - TS;
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392 T1n = TR + TS;
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393 }
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394 TU = TQ - TT;
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395 T1B = T1n - T1m;
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396 T17 = TQ + TT;
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397 T1o = T1m + T1n;
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398 }
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399 {
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400 E Tk, Tw, Tn, Tx;
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401 {
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402 E Ti, Tj, Tl, Tm;
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403 Ti = ri[WS(is, 6)];
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404 Tj = ri[WS(is, 13)];
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405 Tk = Ti - Tj;
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406 Tw = Ti + Tj;
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407 Tl = ri[WS(is, 8)];
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408 Tm = ri[WS(is, 1)];
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409 Tn = Tl - Tm;
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410 Tx = Tl + Tm;
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411 }
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412 To = Tk + Tn;
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413 T1r = Tw - Tx;
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414 Ty = Tw + Tx;
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415 T11 = Tn - Tk;
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416 }
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417 {
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418 E TJ, T1j, TM, T1k;
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419 {
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420 E TH, TI, TK, TL;
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421 TH = ii[WS(is, 6)];
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422 TI = ii[WS(is, 13)];
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423 TJ = TH - TI;
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424 T1j = TH + TI;
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425 TK = ii[WS(is, 8)];
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426 TL = ii[WS(is, 1)];
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427 TM = TK - TL;
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428 T1k = TK + TL;
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429 }
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430 TN = TJ - TM;
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431 T1A = T1k - T1j;
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432 T18 = TJ + TM;
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433 T1l = T1j + T1k;
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434 }
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435 ro[WS(os, 7)] = T3 + Ta + Th + To;
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436 io[WS(os, 7)] = T16 + T19 + T17 + T18;
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437 ro[0] = Tp + Ts + Tv + Ty;
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438 io[0] = T1f + T1i + T1o + T1l;
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439 {
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440 E TV, Tz, T1e, T1d;
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441 TV = FNMS(KP781831482, TN, KP974927912 * TG) - (KP433883739 * TU);
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442 Tz = FMA(KP623489801, To, T3) + FNMA(KP900968867, Th, KP222520933 * Ta);
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443 ro[WS(os, 5)] = Tz - TV;
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444 ro[WS(os, 9)] = Tz + TV;
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445 T1e = FNMS(KP781831482, T11, KP974927912 * T10) - (KP433883739 * T12);
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446 T1d = FMA(KP623489801, T18, T16) + FNMA(KP900968867, T17, KP222520933 * T19);
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447 io[WS(os, 5)] = T1d - T1e;
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448 io[WS(os, 9)] = T1e + T1d;
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449 }
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450 {
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451 E TX, TW, T1b, T1c;
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452 TX = FMA(KP781831482, TG, KP974927912 * TU) + (KP433883739 * TN);
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453 TW = FMA(KP623489801, Ta, T3) + FNMA(KP900968867, To, KP222520933 * Th);
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454 ro[WS(os, 13)] = TW - TX;
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455 ro[WS(os, 1)] = TW + TX;
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456 T1b = FMA(KP781831482, T10, KP974927912 * T12) + (KP433883739 * T11);
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457 T1c = FMA(KP623489801, T19, T16) + FNMA(KP900968867, T18, KP222520933 * T17);
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458 io[WS(os, 1)] = T1b + T1c;
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459 io[WS(os, 13)] = T1c - T1b;
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460 }
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461 {
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462 E TZ, TY, T13, T1a;
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463 TZ = FMA(KP433883739, TG, KP974927912 * TN) - (KP781831482 * TU);
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464 TY = FMA(KP623489801, Th, T3) + FNMA(KP222520933, To, KP900968867 * Ta);
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465 ro[WS(os, 11)] = TY - TZ;
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466 ro[WS(os, 3)] = TY + TZ;
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467 T13 = FMA(KP433883739, T10, KP974927912 * T11) - (KP781831482 * T12);
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468 T1a = FMA(KP623489801, T17, T16) + FNMA(KP222520933, T18, KP900968867 * T19);
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469 io[WS(os, 3)] = T13 + T1a;
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470 io[WS(os, 11)] = T1a - T13;
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471 }
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472 {
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473 E T1t, T1p, T1C, T1y;
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474 T1t = FNMS(KP433883739, T1r, KP781831482 * T1q) - (KP974927912 * T1s);
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475 T1p = FMA(KP623489801, T1i, T1f) + FNMA(KP900968867, T1l, KP222520933 * T1o);
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476 io[WS(os, 6)] = T1p - T1t;
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477 io[WS(os, 8)] = T1t + T1p;
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478 T1C = FNMS(KP433883739, T1A, KP781831482 * T1z) - (KP974927912 * T1B);
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479 T1y = FMA(KP623489801, Ts, Tp) + FNMA(KP900968867, Ty, KP222520933 * Tv);
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480 ro[WS(os, 6)] = T1y - T1C;
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481 ro[WS(os, 8)] = T1y + T1C;
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482 }
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483 {
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484 E T1v, T1u, T1E, T1D;
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485 T1v = FMA(KP433883739, T1q, KP781831482 * T1s) - (KP974927912 * T1r);
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486 T1u = FMA(KP623489801, T1o, T1f) + FNMA(KP222520933, T1l, KP900968867 * T1i);
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487 io[WS(os, 4)] = T1u - T1v;
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488 io[WS(os, 10)] = T1v + T1u;
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489 T1E = FMA(KP433883739, T1z, KP781831482 * T1B) - (KP974927912 * T1A);
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490 T1D = FMA(KP623489801, Tv, Tp) + FNMA(KP222520933, Ty, KP900968867 * Ts);
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491 ro[WS(os, 4)] = T1D - T1E;
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492 ro[WS(os, 10)] = T1D + T1E;
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493 }
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494 {
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495 E T1w, T1x, T1G, T1F;
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496 T1w = FMA(KP974927912, T1q, KP433883739 * T1s) + (KP781831482 * T1r);
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497 T1x = FMA(KP623489801, T1l, T1f) + FNMA(KP900968867, T1o, KP222520933 * T1i);
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498 io[WS(os, 2)] = T1w + T1x;
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499 io[WS(os, 12)] = T1x - T1w;
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500 T1G = FMA(KP974927912, T1z, KP433883739 * T1B) + (KP781831482 * T1A);
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501 T1F = FMA(KP623489801, Ty, Tp) + FNMA(KP900968867, Tv, KP222520933 * Ts);
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502 ro[WS(os, 12)] = T1F - T1G;
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503 ro[WS(os, 2)] = T1F + T1G;
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504 }
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505 }
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506 }
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507 }
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508
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509 static const kdft_desc desc = { 14, "n1_14", {100, 24, 48, 0}, &GENUS, 0, 0, 0, 0 };
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510
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511 void X(codelet_n1_14) (planner *p) {
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512 X(kdft_register) (p, n1_14, &desc);
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513 }
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514
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515 #endif
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