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1 /*
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2 * Copyright (c) 2003, 2007-11 Matteo Frigo
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3 * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
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4 *
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5 * This program is free software; you can redistribute it and/or modify
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6 * it under the terms of the GNU General Public License as published by
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7 * the Free Software Foundation; either version 2 of the License, or
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8 * (at your option) any later version.
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9 *
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10 * This program is distributed in the hope that it will be useful,
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11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 * GNU General Public License for more details.
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14 *
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15 * You should have received a copy of the GNU General Public License
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16 * along with this program; if not, write to the Free Software
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17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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18 *
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19 */
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20
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21 /* This file was automatically generated --- DO NOT EDIT */
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22 /* Generated on Sun Nov 25 07:41:44 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_r2cb.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 20 -name r2cbIII_20 -dft-III -include r2cbIII.h */
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29
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30 /*
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31 * This function contains 94 FP additions, 56 FP multiplications,
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32 * (or, 58 additions, 20 multiplications, 36 fused multiply/add),
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33 * 59 stack variables, 6 constants, and 40 memory accesses
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34 */
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35 #include "r2cbIII.h"
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36
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37 static void r2cbIII_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
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38 {
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39 DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
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40 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
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41 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
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42 DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
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43 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
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44 DK(KP618033988, +0.618033988749894848204586834365638117720309180);
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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, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(80, rs), MAKE_VOLATILE_STRIDE(80, csr), MAKE_VOLATILE_STRIDE(80, csi)) {
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48 E TZ, TD, TW, Tw, Tt, TF, T1f, T1b;
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49 {
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50 E T1l, Tk, T9, Tj, Ta, TV, TI, Ts, TU, T1t, T11, Tx, T13, TC, T1a;
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51 E T1i, Th, Tv, Ty;
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52 {
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53 E TQ, TS, Tr, Tm, Tn;
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54 {
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55 E T1, T5, T6, T2, T3, T7, TY;
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56 T1 = Cr[WS(csr, 2)];
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57 T5 = Cr[WS(csr, 9)];
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58 T6 = Cr[WS(csr, 5)];
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59 T2 = Cr[WS(csr, 6)];
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60 T3 = Cr[WS(csr, 1)];
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61 TQ = Ci[WS(csi, 2)];
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62 T7 = T5 + T6;
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63 TY = T5 - T6;
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64 {
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65 E T4, TX, T8, Tp, Tq;
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66 T4 = T2 + T3;
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67 TX = T2 - T3;
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68 Tp = Ci[WS(csi, 5)];
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69 Tq = Ci[WS(csi, 9)];
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70 T1l = FNMS(KP618033988, TX, TY);
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71 TZ = FMA(KP618033988, TY, TX);
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72 Tk = T4 - T7;
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73 T8 = T4 + T7;
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74 TS = Tp + Tq;
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75 Tr = Tp - Tq;
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76 T9 = T1 + T8;
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77 Tj = FNMS(KP250000000, T8, T1);
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78 Tm = Ci[WS(csi, 6)];
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79 Tn = Ci[WS(csi, 1)];
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80 }
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81 }
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82 {
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83 E Tb, T19, Tg, Tc;
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84 Ta = Cr[WS(csr, 7)];
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85 {
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86 E Te, Tf, To, TR, TT;
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87 Te = Cr[0];
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88 Tf = Cr[WS(csr, 4)];
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89 To = Tm + Tn;
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90 TR = Tm - Tn;
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91 Tb = Cr[WS(csr, 3)];
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92 T19 = Te - Tf;
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93 Tg = Te + Tf;
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94 TT = TR - TS;
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95 TV = TR + TS;
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96 TI = FNMS(KP618033988, To, Tr);
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97 Ts = FMA(KP618033988, Tr, To);
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98 TU = FNMS(KP250000000, TT, TQ);
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99 T1t = TT + TQ;
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100 Tc = Cr[WS(csr, 8)];
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101 }
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102 T11 = Ci[WS(csi, 7)];
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103 {
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104 E TA, TB, Td, T18;
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105 TA = Ci[WS(csi, 4)];
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106 TB = Ci[0];
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107 Td = Tb + Tc;
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108 T18 = Tb - Tc;
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109 Tx = Ci[WS(csi, 3)];
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110 T13 = TB + TA;
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111 TC = TA - TB;
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112 T1a = FMA(KP618033988, T19, T18);
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113 T1i = FNMS(KP618033988, T18, T19);
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114 Th = Td + Tg;
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115 Tv = Td - Tg;
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116 Ty = Ci[WS(csi, 8)];
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117 }
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118 }
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119 }
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120 {
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121 E Tu, T1w, T16, TL, T15, T1u;
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122 {
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123 E Ti, T12, Tz, T14;
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124 Tu = FNMS(KP250000000, Th, Ta);
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125 Ti = Ta + Th;
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126 T12 = Tx - Ty;
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127 Tz = Tx + Ty;
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128 T1w = T9 - Ti;
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129 T14 = T12 - T13;
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130 T16 = T12 + T13;
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131 TL = FNMS(KP618033988, Tz, TC);
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132 TD = FMA(KP618033988, TC, Tz);
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133 T15 = FNMS(KP250000000, T14, T11);
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134 T1u = T14 + T11;
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135 R0[0] = KP2_000000000 * (T9 + Ti);
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136 }
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137 {
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138 E Tl, TJ, TN, T1q, T1m, TK, T1h, T17, TH, T1k, T1v;
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139 Tl = FMA(KP559016994, Tk, Tj);
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140 TH = FNMS(KP559016994, Tk, Tj);
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141 T1k = FNMS(KP559016994, TV, TU);
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142 TW = FMA(KP559016994, TV, TU);
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143 R0[WS(rs, 5)] = KP2_000000000 * (T1u - T1t);
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144 T1v = T1t + T1u;
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145 TJ = FNMS(KP951056516, TI, TH);
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146 TN = FMA(KP951056516, TI, TH);
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147 T1q = FMA(KP951056516, T1l, T1k);
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148 T1m = FNMS(KP951056516, T1l, T1k);
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149 R1[WS(rs, 7)] = KP1_414213562 * (T1w + T1v);
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150 R1[WS(rs, 2)] = KP1_414213562 * (T1v - T1w);
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151 Tw = FMA(KP559016994, Tv, Tu);
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152 TK = FNMS(KP559016994, Tv, Tu);
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153 T1h = FNMS(KP559016994, T16, T15);
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154 T17 = FMA(KP559016994, T16, T15);
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155 {
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156 E TM, TO, T1j, T1r;
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157 TM = FMA(KP951056516, TL, TK);
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158 TO = FNMS(KP951056516, TL, TK);
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159 T1j = FMA(KP951056516, T1i, T1h);
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160 T1r = FNMS(KP951056516, T1i, T1h);
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161 Tt = FNMS(KP951056516, Ts, Tl);
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162 TF = FMA(KP951056516, Ts, Tl);
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163 {
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164 E T1n, T1p, T1s, T1o;
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165 T1n = TN - TO;
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166 R0[WS(rs, 6)] = -(KP2_000000000 * (TN + TO));
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167 T1p = TM - TJ;
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168 R0[WS(rs, 4)] = KP2_000000000 * (TJ + TM);
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169 T1s = T1q + T1r;
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170 R0[WS(rs, 9)] = KP2_000000000 * (T1r - T1q);
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171 T1o = T1m + T1j;
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172 R0[WS(rs, 1)] = KP2_000000000 * (T1j - T1m);
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173 R1[WS(rs, 6)] = KP1_414213562 * (T1p + T1s);
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174 R1[WS(rs, 1)] = KP1_414213562 * (T1p - T1s);
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175 R1[WS(rs, 3)] = KP1_414213562 * (T1n + T1o);
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176 R1[WS(rs, 8)] = KP1_414213562 * (T1n - T1o);
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177 T1f = FMA(KP951056516, T1a, T17);
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178 T1b = FNMS(KP951056516, T1a, T17);
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179 }
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180 }
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181 }
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182 }
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183 }
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184 {
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185 E TE, TG, T10, T1e;
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186 TE = FMA(KP951056516, TD, Tw);
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187 TG = FNMS(KP951056516, TD, Tw);
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188 T10 = FMA(KP951056516, TZ, TW);
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189 T1e = FNMS(KP951056516, TZ, TW);
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190 {
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191 E T1d, TP, T1g, T1c;
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192 T1d = TF - TG;
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193 R0[WS(rs, 2)] = -(KP2_000000000 * (TF + TG));
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194 TP = Tt - TE;
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195 R0[WS(rs, 8)] = KP2_000000000 * (Tt + TE);
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196 T1g = T1e + T1f;
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197 R0[WS(rs, 7)] = KP2_000000000 * (T1e - T1f);
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198 T1c = T10 + T1b;
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199 R0[WS(rs, 3)] = KP2_000000000 * (T10 - T1b);
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200 R1[WS(rs, 9)] = -(KP1_414213562 * (T1d + T1g));
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201 R1[WS(rs, 4)] = KP1_414213562 * (T1d - T1g);
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202 R1[WS(rs, 5)] = -(KP1_414213562 * (TP + T1c));
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203 R1[0] = KP1_414213562 * (TP - T1c);
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204 }
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205 }
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206 }
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207 }
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208 }
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209
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210 static const kr2c_desc desc = { 20, "r2cbIII_20", {58, 20, 36, 0}, &GENUS };
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211
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212 void X(codelet_r2cbIII_20) (planner *p) {
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213 X(kr2c_register) (p, r2cbIII_20, &desc);
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214 }
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215
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216 #else /* HAVE_FMA */
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217
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218 /* Generated by: ../../../genfft/gen_r2cb.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 20 -name r2cbIII_20 -dft-III -include r2cbIII.h */
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219
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220 /*
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221 * This function contains 94 FP additions, 44 FP multiplications,
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222 * (or, 82 additions, 32 multiplications, 12 fused multiply/add),
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223 * 43 stack variables, 6 constants, and 40 memory accesses
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224 */
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225 #include "r2cbIII.h"
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226
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227 static void r2cbIII_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
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228 {
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229 DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
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230 DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
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231 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
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232 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
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233 DK(KP587785252, +0.587785252292473129168705954639072768597652438);
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234 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
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235 {
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236 INT i;
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237 for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(80, rs), MAKE_VOLATILE_STRIDE(80, csr), MAKE_VOLATILE_STRIDE(80, csi)) {
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238 E T1, Tj, T1k, T13, T8, Tk, T17, Ts, T16, TI, T18, T19, Ta, Tu, T1i;
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239 E TS, Th, Tv, TX, TD, TV, TL, TW, TY;
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240 {
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241 E T7, T12, T4, T11;
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242 T1 = Cr[WS(csr, 2)];
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243 {
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244 E T5, T6, T2, T3;
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245 T5 = Cr[WS(csr, 9)];
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246 T6 = Cr[WS(csr, 5)];
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247 T7 = T5 + T6;
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248 T12 = T5 - T6;
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249 T2 = Cr[WS(csr, 6)];
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250 T3 = Cr[WS(csr, 1)];
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251 T4 = T2 + T3;
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252 T11 = T2 - T3;
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253 }
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254 Tj = KP559016994 * (T4 - T7);
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255 T1k = FNMS(KP951056516, T12, KP587785252 * T11);
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256 T13 = FMA(KP951056516, T11, KP587785252 * T12);
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257 T8 = T4 + T7;
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258 Tk = FNMS(KP250000000, T8, T1);
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259 }
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260 {
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261 E Tr, T15, To, T14;
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262 T17 = Ci[WS(csi, 2)];
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263 {
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264 E Tp, Tq, Tm, Tn;
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265 Tp = Ci[WS(csi, 5)];
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266 Tq = Ci[WS(csi, 9)];
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267 Tr = Tp - Tq;
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268 T15 = Tp + Tq;
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269 Tm = Ci[WS(csi, 6)];
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270 Tn = Ci[WS(csi, 1)];
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271 To = Tm + Tn;
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272 T14 = Tm - Tn;
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273 }
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274 Ts = FMA(KP951056516, To, KP587785252 * Tr);
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275 T16 = KP559016994 * (T14 + T15);
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276 TI = FNMS(KP951056516, Tr, KP587785252 * To);
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277 T18 = T14 - T15;
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278 T19 = FNMS(KP250000000, T18, T17);
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279 }
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280 {
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281 E Tg, TR, Td, TQ;
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282 Ta = Cr[WS(csr, 7)];
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283 {
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284 E Te, Tf, Tb, Tc;
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285 Te = Cr[0];
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286 Tf = Cr[WS(csr, 4)];
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287 Tg = Te + Tf;
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288 TR = Te - Tf;
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289 Tb = Cr[WS(csr, 3)];
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290 Tc = Cr[WS(csr, 8)];
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291 Td = Tb + Tc;
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292 TQ = Tb - Tc;
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293 }
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294 Tu = KP559016994 * (Td - Tg);
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295 T1i = FNMS(KP951056516, TR, KP587785252 * TQ);
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296 TS = FMA(KP951056516, TQ, KP587785252 * TR);
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297 Th = Td + Tg;
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298 Tv = FNMS(KP250000000, Th, Ta);
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299 }
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300 {
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301 E TC, TU, Tz, TT;
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302 TX = Ci[WS(csi, 7)];
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303 {
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304 E TA, TB, Tx, Ty;
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305 TA = Ci[WS(csi, 4)];
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306 TB = Ci[0];
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307 TC = TA - TB;
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308 TU = TB + TA;
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309 Tx = Ci[WS(csi, 3)];
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Chris@10
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310 Ty = Ci[WS(csi, 8)];
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Chris@10
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311 Tz = Tx + Ty;
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Chris@10
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312 TT = Ty - Tx;
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Chris@10
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313 }
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Chris@10
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314 TD = FMA(KP951056516, Tz, KP587785252 * TC);
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Chris@10
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315 TV = KP559016994 * (TT - TU);
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Chris@10
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316 TL = FNMS(KP587785252, Tz, KP951056516 * TC);
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Chris@10
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317 TW = TT + TU;
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Chris@10
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318 TY = FMA(KP250000000, TW, TX);
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Chris@10
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319 }
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Chris@10
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320 {
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Chris@10
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321 E T9, Ti, T1w, T1t, T1u, T1v;
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Chris@10
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322 T9 = T1 + T8;
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Chris@10
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323 Ti = Ta + Th;
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Chris@10
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324 T1w = T9 - Ti;
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Chris@10
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325 T1t = T18 + T17;
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Chris@10
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326 T1u = TX - TW;
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Chris@10
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327 T1v = T1t + T1u;
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Chris@10
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328 R0[0] = KP2_000000000 * (T9 + Ti);
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Chris@10
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329 R0[WS(rs, 5)] = KP2_000000000 * (T1u - T1t);
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Chris@10
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330 R1[WS(rs, 2)] = KP1_414213562 * (T1v - T1w);
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Chris@10
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331 R1[WS(rs, 7)] = KP1_414213562 * (T1w + T1v);
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Chris@10
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332 }
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Chris@10
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333 {
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Chris@10
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334 E TJ, TO, T1m, T1q, TM, TN, T1j, T1r;
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Chris@10
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335 {
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Chris@10
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336 E TH, T1l, TK, T1h;
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Chris@10
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337 TH = Tk - Tj;
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Chris@10
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338 TJ = TH + TI;
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Chris@10
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339 TO = TH - TI;
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Chris@10
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340 T1l = T19 - T16;
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Chris@10
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341 T1m = T1k + T1l;
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Chris@10
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342 T1q = T1l - T1k;
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Chris@10
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343 TK = Tv - Tu;
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Chris@10
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344 TM = TK + TL;
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Chris@10
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345 TN = TL - TK;
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Chris@10
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346 T1h = TV + TY;
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Chris@10
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347 T1j = T1h - T1i;
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Chris@10
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348 T1r = T1i + T1h;
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Chris@10
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349 }
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Chris@10
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350 R0[WS(rs, 4)] = KP2_000000000 * (TJ + TM);
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Chris@10
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351 R0[WS(rs, 6)] = KP2_000000000 * (TN - TO);
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Chris@10
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352 R0[WS(rs, 9)] = KP2_000000000 * (T1r - T1q);
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Chris@10
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353 R0[WS(rs, 1)] = KP2_000000000 * (T1j - T1m);
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Chris@10
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354 {
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Chris@10
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355 E T1p, T1s, T1n, T1o;
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Chris@10
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356 T1p = TM - TJ;
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Chris@10
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357 T1s = T1q + T1r;
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Chris@10
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358 R1[WS(rs, 1)] = KP1_414213562 * (T1p - T1s);
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Chris@10
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359 R1[WS(rs, 6)] = KP1_414213562 * (T1p + T1s);
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Chris@10
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360 T1n = TO + TN;
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Chris@10
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361 T1o = T1m + T1j;
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Chris@10
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362 R1[WS(rs, 8)] = KP1_414213562 * (T1n - T1o);
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Chris@10
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363 R1[WS(rs, 3)] = KP1_414213562 * (T1n + T1o);
|
Chris@10
|
364 }
|
Chris@10
|
365 }
|
Chris@10
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366 {
|
Chris@10
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367 E Tt, TG, T1b, T1f, TE, TF, T10, T1e;
|
Chris@10
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368 {
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Chris@10
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369 E Tl, T1a, Tw, TZ;
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Chris@10
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370 Tl = Tj + Tk;
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Chris@10
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371 Tt = Tl - Ts;
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Chris@10
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372 TG = Tl + Ts;
|
Chris@10
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373 T1a = T16 + T19;
|
Chris@10
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374 T1b = T13 + T1a;
|
Chris@10
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375 T1f = T1a - T13;
|
Chris@10
|
376 Tw = Tu + Tv;
|
Chris@10
|
377 TE = Tw + TD;
|
Chris@10
|
378 TF = TD - Tw;
|
Chris@10
|
379 TZ = TV - TY;
|
Chris@10
|
380 T10 = TS + TZ;
|
Chris@10
|
381 T1e = TZ - TS;
|
Chris@10
|
382 }
|
Chris@10
|
383 R0[WS(rs, 8)] = KP2_000000000 * (Tt + TE);
|
Chris@10
|
384 R0[WS(rs, 2)] = KP2_000000000 * (TF - TG);
|
Chris@10
|
385 R0[WS(rs, 7)] = KP2_000000000 * (T1f + T1e);
|
Chris@10
|
386 R0[WS(rs, 3)] = KP2_000000000 * (T1b + T10);
|
Chris@10
|
387 {
|
Chris@10
|
388 E T1d, T1g, TP, T1c;
|
Chris@10
|
389 T1d = TG + TF;
|
Chris@10
|
390 T1g = T1e - T1f;
|
Chris@10
|
391 R1[WS(rs, 4)] = KP1_414213562 * (T1d + T1g);
|
Chris@10
|
392 R1[WS(rs, 9)] = KP1_414213562 * (T1g - T1d);
|
Chris@10
|
393 TP = Tt - TE;
|
Chris@10
|
394 T1c = T10 - T1b;
|
Chris@10
|
395 R1[0] = KP1_414213562 * (TP + T1c);
|
Chris@10
|
396 R1[WS(rs, 5)] = KP1_414213562 * (T1c - TP);
|
Chris@10
|
397 }
|
Chris@10
|
398 }
|
Chris@10
|
399 }
|
Chris@10
|
400 }
|
Chris@10
|
401 }
|
Chris@10
|
402
|
Chris@10
|
403 static const kr2c_desc desc = { 20, "r2cbIII_20", {82, 32, 12, 0}, &GENUS };
|
Chris@10
|
404
|
Chris@10
|
405 void X(codelet_r2cbIII_20) (planner *p) {
|
Chris@10
|
406 X(kr2c_register) (p, r2cbIII_20, &desc);
|
Chris@10
|
407 }
|
Chris@10
|
408
|
Chris@10
|
409 #endif /* HAVE_FMA */
|