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| 2 | pj | 1 | /* |
| 2 | * Copyright (c) 1997-1999 Massachusetts Institute of Technology |
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| 3 | * |
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| 4 | * This program is free software; you can redistribute it and/or modify |
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| 5 | * it under the terms of the GNU General Public License as published by |
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| 6 | * the Free Software Foundation; either version 2 of the License, or |
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| 7 | * (at your option) any later version. |
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| 8 | * |
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| 9 | * This program is distributed in the hope that it will be useful, |
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| 10 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 11 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 12 | * GNU General Public License for more details. |
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| 13 | * |
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| 14 | * You should have received a copy of the GNU General Public License |
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| 15 | * along with this program; if not, write to the Free Software |
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| 16 | * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA |
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| 17 | * |
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| 18 | */ |
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| 19 | |||
| 20 | /* This file was automatically generated --- DO NOT EDIT */ |
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| 21 | /* Generated on Tue May 18 13:56:04 EDT 1999 */ |
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| 22 | |||
| 23 | #include <ports/fftw-int.h> |
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| 24 | #include <ports/fftw.h> |
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| 25 | |||
| 26 | /* Generated by: ./genfft -magic-alignment-check -magic-twiddle-load-all -magic-variables 4 -magic-loopi -hc2hc-backward 8 */ |
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| 27 | |||
| 28 | /* |
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| 29 | * This function contains 108 FP additions, 50 FP multiplications, |
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| 30 | * (or, 90 additions, 32 multiplications, 18 fused multiply/add), |
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| 31 | * 31 stack variables, and 64 memory accesses |
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| 32 | */ |
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| 33 | static const fftw_real K765366864 = FFTW_KONST(+0.765366864730179543456919968060797733522689125); |
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| 34 | static const fftw_real K1_847759065 = FFTW_KONST(+1.847759065022573512256366378793576573644833252); |
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| 35 | static const fftw_real K707106781 = FFTW_KONST(+0.707106781186547524400844362104849039284835938); |
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| 36 | static const fftw_real K1_414213562 = FFTW_KONST(+1.414213562373095048801688724209698078569671875); |
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| 37 | static const fftw_real K2_000000000 = FFTW_KONST(+2.000000000000000000000000000000000000000000000); |
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| 38 | |||
| 39 | /* |
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| 40 | * Generator Id's : |
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| 41 | * $Id: fhb_8.c,v 1.1.1.1 2002-03-29 14:12:58 pj Exp $ |
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| 42 | * $Id: fhb_8.c,v 1.1.1.1 2002-03-29 14:12:58 pj Exp $ |
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| 43 | * $Id: fhb_8.c,v 1.1.1.1 2002-03-29 14:12:58 pj Exp $ |
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| 44 | */ |
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| 45 | |||
| 46 | void fftw_hc2hc_backward_8(fftw_real *A, const fftw_complex *W, int iostride, int m, int dist) |
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| 47 | { |
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| 48 | int i; |
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| 49 | fftw_real *X; |
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| 50 | fftw_real *Y; |
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| 51 | X = A; |
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| 52 | Y = A + (8 * iostride); |
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| 53 | { |
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| 54 | fftw_real tmp107; |
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| 55 | fftw_real tmp118; |
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| 56 | fftw_real tmp105; |
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| 57 | fftw_real tmp116; |
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| 58 | fftw_real tmp111; |
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| 59 | fftw_real tmp120; |
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| 60 | fftw_real tmp115; |
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| 61 | fftw_real tmp121; |
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| 62 | fftw_real tmp108; |
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| 63 | fftw_real tmp112; |
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| 64 | ASSERT_ALIGNED_DOUBLE(); |
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| 65 | { |
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| 66 | fftw_real tmp106; |
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| 67 | fftw_real tmp117; |
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| 68 | fftw_real tmp103; |
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| 69 | fftw_real tmp104; |
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| 70 | ASSERT_ALIGNED_DOUBLE(); |
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| 71 | tmp106 = X[2 * iostride]; |
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| 72 | tmp107 = K2_000000000 * tmp106; |
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| 73 | tmp117 = Y[-2 * iostride]; |
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| 74 | tmp118 = K2_000000000 * tmp117; |
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| 75 | tmp103 = X[0]; |
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| 76 | tmp104 = X[4 * iostride]; |
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| 77 | tmp105 = tmp103 + tmp104; |
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| 78 | tmp116 = tmp103 - tmp104; |
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| 79 | { |
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| 80 | fftw_real tmp109; |
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| 81 | fftw_real tmp110; |
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| 82 | fftw_real tmp113; |
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| 83 | fftw_real tmp114; |
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| 84 | ASSERT_ALIGNED_DOUBLE(); |
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| 85 | tmp109 = X[iostride]; |
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| 86 | tmp110 = X[3 * iostride]; |
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| 87 | tmp111 = K2_000000000 * (tmp109 + tmp110); |
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| 88 | tmp120 = tmp109 - tmp110; |
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| 89 | tmp113 = Y[-iostride]; |
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| 90 | tmp114 = Y[-3 * iostride]; |
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| 91 | tmp115 = K2_000000000 * (tmp113 - tmp114); |
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| 92 | tmp121 = tmp114 + tmp113; |
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| 93 | } |
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| 94 | } |
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| 95 | tmp108 = tmp105 + tmp107; |
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| 96 | X[4 * iostride] = tmp108 - tmp111; |
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| 97 | X[0] = tmp108 + tmp111; |
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| 98 | tmp112 = tmp105 - tmp107; |
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| 99 | X[6 * iostride] = tmp112 + tmp115; |
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| 100 | X[2 * iostride] = tmp112 - tmp115; |
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| 101 | { |
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| 102 | fftw_real tmp119; |
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| 103 | fftw_real tmp122; |
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| 104 | fftw_real tmp123; |
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| 105 | fftw_real tmp124; |
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| 106 | ASSERT_ALIGNED_DOUBLE(); |
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| 107 | tmp119 = tmp116 - tmp118; |
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| 108 | tmp122 = K1_414213562 * (tmp120 - tmp121); |
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| 109 | X[5 * iostride] = tmp119 - tmp122; |
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| 110 | X[iostride] = tmp119 + tmp122; |
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| 111 | tmp123 = tmp116 + tmp118; |
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| 112 | tmp124 = K1_414213562 * (tmp120 + tmp121); |
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| 113 | X[3 * iostride] = tmp123 - tmp124; |
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| 114 | X[7 * iostride] = tmp123 + tmp124; |
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| 115 | } |
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| 116 | } |
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| 117 | X = X + dist; |
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| 118 | Y = Y - dist; |
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| 119 | for (i = 2; i < m; i = i + 2, X = X + dist, Y = Y - dist, W = W + 7) { |
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| 120 | fftw_real tmp29; |
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| 121 | fftw_real tmp60; |
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| 122 | fftw_real tmp46; |
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| 123 | fftw_real tmp56; |
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| 124 | fftw_real tmp70; |
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| 125 | fftw_real tmp96; |
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| 126 | fftw_real tmp82; |
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| 127 | fftw_real tmp92; |
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| 128 | fftw_real tmp36; |
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| 129 | fftw_real tmp57; |
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| 130 | fftw_real tmp53; |
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| 131 | fftw_real tmp61; |
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| 132 | fftw_real tmp73; |
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| 133 | fftw_real tmp83; |
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| 134 | fftw_real tmp76; |
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| 135 | fftw_real tmp84; |
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| 136 | ASSERT_ALIGNED_DOUBLE(); |
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| 137 | { |
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| 138 | fftw_real tmp25; |
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| 139 | fftw_real tmp68; |
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| 140 | fftw_real tmp42; |
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| 141 | fftw_real tmp81; |
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| 142 | fftw_real tmp28; |
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| 143 | fftw_real tmp80; |
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| 144 | fftw_real tmp45; |
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| 145 | fftw_real tmp69; |
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| 146 | ASSERT_ALIGNED_DOUBLE(); |
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| 147 | { |
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| 148 | fftw_real tmp23; |
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| 149 | fftw_real tmp24; |
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| 150 | fftw_real tmp40; |
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| 151 | fftw_real tmp41; |
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| 152 | ASSERT_ALIGNED_DOUBLE(); |
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| 153 | tmp23 = X[0]; |
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| 154 | tmp24 = Y[-4 * iostride]; |
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| 155 | tmp25 = tmp23 + tmp24; |
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| 156 | tmp68 = tmp23 - tmp24; |
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| 157 | tmp40 = Y[0]; |
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| 158 | tmp41 = X[4 * iostride]; |
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| 159 | tmp42 = tmp40 - tmp41; |
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| 160 | tmp81 = tmp40 + tmp41; |
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| 161 | } |
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| 162 | { |
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| 163 | fftw_real tmp26; |
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| 164 | fftw_real tmp27; |
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| 165 | fftw_real tmp43; |
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| 166 | fftw_real tmp44; |
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| 167 | ASSERT_ALIGNED_DOUBLE(); |
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| 168 | tmp26 = X[2 * iostride]; |
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| 169 | tmp27 = Y[-6 * iostride]; |
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| 170 | tmp28 = tmp26 + tmp27; |
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| 171 | tmp80 = tmp26 - tmp27; |
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| 172 | tmp43 = Y[-2 * iostride]; |
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| 173 | tmp44 = X[6 * iostride]; |
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| 174 | tmp45 = tmp43 - tmp44; |
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| 175 | tmp69 = tmp43 + tmp44; |
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| 176 | } |
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| 177 | tmp29 = tmp25 + tmp28; |
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| 178 | tmp60 = tmp25 - tmp28; |
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| 179 | tmp46 = tmp42 + tmp45; |
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| 180 | tmp56 = tmp42 - tmp45; |
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| 181 | tmp70 = tmp68 - tmp69; |
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| 182 | tmp96 = tmp68 + tmp69; |
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| 183 | tmp82 = tmp80 + tmp81; |
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| 184 | tmp92 = tmp81 - tmp80; |
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| 185 | } |
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| 186 | { |
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| 187 | fftw_real tmp32; |
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| 188 | fftw_real tmp71; |
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| 189 | fftw_real tmp49; |
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| 190 | fftw_real tmp72; |
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| 191 | fftw_real tmp35; |
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| 192 | fftw_real tmp74; |
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| 193 | fftw_real tmp52; |
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| 194 | fftw_real tmp75; |
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| 195 | ASSERT_ALIGNED_DOUBLE(); |
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| 196 | { |
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| 197 | fftw_real tmp30; |
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| 198 | fftw_real tmp31; |
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| 199 | fftw_real tmp47; |
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| 200 | fftw_real tmp48; |
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| 201 | ASSERT_ALIGNED_DOUBLE(); |
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| 202 | tmp30 = X[iostride]; |
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| 203 | tmp31 = Y[-5 * iostride]; |
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| 204 | tmp32 = tmp30 + tmp31; |
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| 205 | tmp71 = tmp30 - tmp31; |
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| 206 | tmp47 = Y[-iostride]; |
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| 207 | tmp48 = X[5 * iostride]; |
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| 208 | tmp49 = tmp47 - tmp48; |
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| 209 | tmp72 = tmp47 + tmp48; |
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| 210 | } |
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| 211 | { |
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| 212 | fftw_real tmp33; |
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| 213 | fftw_real tmp34; |
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| 214 | fftw_real tmp50; |
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| 215 | fftw_real tmp51; |
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| 216 | ASSERT_ALIGNED_DOUBLE(); |
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| 217 | tmp33 = Y[-7 * iostride]; |
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| 218 | tmp34 = X[3 * iostride]; |
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| 219 | tmp35 = tmp33 + tmp34; |
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| 220 | tmp74 = tmp33 - tmp34; |
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| 221 | tmp50 = Y[-3 * iostride]; |
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| 222 | tmp51 = X[7 * iostride]; |
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| 223 | tmp52 = tmp50 - tmp51; |
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| 224 | tmp75 = tmp50 + tmp51; |
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| 225 | } |
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| 226 | tmp36 = tmp32 + tmp35; |
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| 227 | tmp57 = tmp32 - tmp35; |
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| 228 | tmp53 = tmp49 + tmp52; |
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| 229 | tmp61 = tmp52 - tmp49; |
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| 230 | tmp73 = tmp71 - tmp72; |
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| 231 | tmp83 = tmp71 + tmp72; |
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| 232 | tmp76 = tmp74 - tmp75; |
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| 233 | tmp84 = tmp74 + tmp75; |
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| 234 | } |
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| 235 | X[0] = tmp29 + tmp36; |
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| 236 | Y[-7 * iostride] = tmp46 + tmp53; |
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| 237 | { |
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| 238 | fftw_real tmp38; |
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| 239 | fftw_real tmp54; |
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| 240 | fftw_real tmp37; |
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| 241 | fftw_real tmp39; |
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| 242 | ASSERT_ALIGNED_DOUBLE(); |
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| 243 | tmp38 = tmp29 - tmp36; |
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| 244 | tmp54 = tmp46 - tmp53; |
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| 245 | tmp37 = c_re(W[3]); |
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| 246 | tmp39 = c_im(W[3]); |
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| 247 | X[4 * iostride] = (tmp37 * tmp38) + (tmp39 * tmp54); |
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| 248 | Y[-3 * iostride] = (tmp37 * tmp54) - (tmp39 * tmp38); |
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| 249 | } |
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| 250 | { |
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| 251 | fftw_real tmp64; |
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| 252 | fftw_real tmp66; |
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| 253 | fftw_real tmp63; |
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| 254 | fftw_real tmp65; |
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| 255 | ASSERT_ALIGNED_DOUBLE(); |
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| 256 | tmp64 = tmp57 + tmp56; |
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| 257 | tmp66 = tmp60 + tmp61; |
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| 258 | tmp63 = c_re(W[1]); |
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| 259 | tmp65 = c_im(W[1]); |
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| 260 | Y[-5 * iostride] = (tmp63 * tmp64) - (tmp65 * tmp66); |
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| 261 | X[2 * iostride] = (tmp65 * tmp64) + (tmp63 * tmp66); |
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| 262 | } |
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| 263 | { |
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| 264 | fftw_real tmp58; |
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| 265 | fftw_real tmp62; |
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| 266 | fftw_real tmp55; |
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| 267 | fftw_real tmp59; |
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| 268 | ASSERT_ALIGNED_DOUBLE(); |
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| 269 | tmp58 = tmp56 - tmp57; |
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| 270 | tmp62 = tmp60 - tmp61; |
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| 271 | tmp55 = c_re(W[5]); |
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| 272 | tmp59 = c_im(W[5]); |
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| 273 | Y[-iostride] = (tmp55 * tmp58) - (tmp59 * tmp62); |
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| 274 | X[6 * iostride] = (tmp59 * tmp58) + (tmp55 * tmp62); |
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| 275 | } |
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| 276 | { |
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| 277 | fftw_real tmp94; |
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| 278 | fftw_real tmp100; |
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| 279 | fftw_real tmp98; |
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| 280 | fftw_real tmp102; |
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| 281 | fftw_real tmp93; |
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| 282 | fftw_real tmp97; |
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| 283 | ASSERT_ALIGNED_DOUBLE(); |
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| 284 | tmp93 = K707106781 * (tmp73 - tmp76); |
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| 285 | tmp94 = tmp92 + tmp93; |
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| 286 | tmp100 = tmp92 - tmp93; |
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| 287 | tmp97 = K707106781 * (tmp83 + tmp84); |
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| 288 | tmp98 = tmp96 - tmp97; |
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| 289 | tmp102 = tmp96 + tmp97; |
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| 290 | { |
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| 291 | fftw_real tmp91; |
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| 292 | fftw_real tmp95; |
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| 293 | fftw_real tmp99; |
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| 294 | fftw_real tmp101; |
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| 295 | ASSERT_ALIGNED_DOUBLE(); |
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| 296 | tmp91 = c_re(W[2]); |
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| 297 | tmp95 = c_im(W[2]); |
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| 298 | Y[-4 * iostride] = (tmp91 * tmp94) - (tmp95 * tmp98); |
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| 299 | X[3 * iostride] = (tmp95 * tmp94) + (tmp91 * tmp98); |
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| 300 | tmp99 = c_re(W[6]); |
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| 301 | tmp101 = c_im(W[6]); |
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| 302 | Y[0] = (tmp99 * tmp100) - (tmp101 * tmp102); |
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| 303 | X[7 * iostride] = (tmp101 * tmp100) + (tmp99 * tmp102); |
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| 304 | } |
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| 305 | } |
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| 306 | { |
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| 307 | fftw_real tmp78; |
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| 308 | fftw_real tmp88; |
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| 309 | fftw_real tmp86; |
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| 310 | fftw_real tmp90; |
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| 311 | fftw_real tmp77; |
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| 312 | fftw_real tmp85; |
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| 313 | ASSERT_ALIGNED_DOUBLE(); |
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| 314 | tmp77 = K707106781 * (tmp73 + tmp76); |
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| 315 | tmp78 = tmp70 - tmp77; |
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| 316 | tmp88 = tmp70 + tmp77; |
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| 317 | tmp85 = K707106781 * (tmp83 - tmp84); |
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| 318 | tmp86 = tmp82 - tmp85; |
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| 319 | tmp90 = tmp82 + tmp85; |
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| 320 | { |
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| 321 | fftw_real tmp67; |
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| 322 | fftw_real tmp79; |
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| 323 | fftw_real tmp87; |
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| 324 | fftw_real tmp89; |
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| 325 | ASSERT_ALIGNED_DOUBLE(); |
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| 326 | tmp67 = c_re(W[4]); |
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| 327 | tmp79 = c_im(W[4]); |
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| 328 | X[5 * iostride] = (tmp67 * tmp78) + (tmp79 * tmp86); |
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| 329 | Y[-2 * iostride] = (tmp67 * tmp86) - (tmp79 * tmp78); |
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| 330 | tmp87 = c_re(W[0]); |
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| 331 | tmp89 = c_im(W[0]); |
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| 332 | X[iostride] = (tmp87 * tmp88) + (tmp89 * tmp90); |
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| 333 | Y[-6 * iostride] = (tmp87 * tmp90) - (tmp89 * tmp88); |
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| 334 | } |
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| 335 | } |
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| 336 | } |
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| 337 | if (i == m) { |
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| 338 | fftw_real tmp3; |
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| 339 | fftw_real tmp7; |
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| 340 | fftw_real tmp15; |
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| 341 | fftw_real tmp20; |
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| 342 | fftw_real tmp6; |
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| 343 | fftw_real tmp12; |
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| 344 | fftw_real tmp10; |
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| 345 | fftw_real tmp21; |
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| 346 | fftw_real tmp19; |
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| 347 | fftw_real tmp22; |
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| 348 | ASSERT_ALIGNED_DOUBLE(); |
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| 349 | { |
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| 350 | fftw_real tmp1; |
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| 351 | fftw_real tmp2; |
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| 352 | fftw_real tmp13; |
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| 353 | fftw_real tmp14; |
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| 354 | ASSERT_ALIGNED_DOUBLE(); |
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| 355 | tmp1 = X[0]; |
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| 356 | tmp2 = X[3 * iostride]; |
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| 357 | tmp3 = tmp1 + tmp2; |
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| 358 | tmp7 = tmp1 - tmp2; |
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| 359 | tmp13 = Y[0]; |
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| 360 | tmp14 = Y[-3 * iostride]; |
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| 361 | tmp15 = tmp13 + tmp14; |
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| 362 | tmp20 = tmp13 - tmp14; |
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| 363 | } |
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| 364 | { |
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| 365 | fftw_real tmp4; |
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| 366 | fftw_real tmp5; |
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| 367 | fftw_real tmp8; |
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| 368 | fftw_real tmp9; |
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| 369 | ASSERT_ALIGNED_DOUBLE(); |
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| 370 | tmp4 = X[2 * iostride]; |
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| 371 | tmp5 = X[iostride]; |
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| 372 | tmp6 = tmp4 + tmp5; |
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| 373 | tmp12 = tmp4 - tmp5; |
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| 374 | tmp8 = Y[-2 * iostride]; |
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| 375 | tmp9 = Y[-iostride]; |
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| 376 | tmp10 = tmp8 + tmp9; |
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| 377 | tmp21 = tmp8 - tmp9; |
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| 378 | } |
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| 379 | X[0] = K2_000000000 * (tmp3 + tmp6); |
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| 380 | tmp19 = tmp3 - tmp6; |
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| 381 | tmp22 = tmp20 - tmp21; |
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| 382 | X[2 * iostride] = K1_414213562 * (tmp19 - tmp22); |
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| 383 | X[6 * iostride] = -(K1_414213562 * (tmp19 + tmp22)); |
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| 384 | X[4 * iostride] = -(K2_000000000 * (tmp21 + tmp20)); |
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| 385 | { |
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| 386 | fftw_real tmp11; |
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| 387 | fftw_real tmp16; |
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| 388 | fftw_real tmp17; |
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| 389 | fftw_real tmp18; |
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| 390 | ASSERT_ALIGNED_DOUBLE(); |
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| 391 | tmp11 = tmp7 - tmp10; |
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| 392 | tmp16 = tmp12 + tmp15; |
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| 393 | X[iostride] = (K1_847759065 * tmp11) - (K765366864 * tmp16); |
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| 394 | X[5 * iostride] = -((K765366864 * tmp11) + (K1_847759065 * tmp16)); |
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| 395 | tmp17 = tmp7 + tmp10; |
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| 396 | tmp18 = tmp15 - tmp12; |
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| 397 | X[3 * iostride] = (K765366864 * tmp17) - (K1_847759065 * tmp18); |
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| 398 | X[7 * iostride] = -((K1_847759065 * tmp17) + (K765366864 * tmp18)); |
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| 399 | } |
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| 400 | } |
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| 401 | } |
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| 402 | |||
| 403 | static const int twiddle_order[] = |
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| 404 | {1, 2, 3, 4, 5, 6, 7}; |
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| 405 | fftw_codelet_desc fftw_hc2hc_backward_8_desc = |
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| 406 | { |
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| 407 | "fftw_hc2hc_backward_8", |
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| 408 | (void (*)()) fftw_hc2hc_backward_8, |
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| 409 | 8, |
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| 410 | FFTW_BACKWARD, |
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| 411 | FFTW_HC2HC, |
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| 412 | 190, |
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| 413 | 7, |
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| 414 | twiddle_order, |
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| 415 | }; |