| 1 | /*****************************************************************************
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| 2 |
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| 3 | FFTRealPassDirect.hpp
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| 4 | Copyright (c) 2005 Laurent de Soras
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| 5 |
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| 6 | --- Legal stuff ---
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| 7 |
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| 8 | This library is free software; you can redistribute it and/or
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| 9 | modify it under the terms of the GNU Lesser General Public
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| 10 | License as published by the Free Software Foundation; either
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| 11 | version 2.1 of the License, or (at your option) any later version.
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| 12 |
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| 13 | This library is distributed in the hope that it will be useful,
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| 14 | but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 15 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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| 16 | Lesser General Public License for more details.
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| 17 |
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| 18 | You should have received a copy of the GNU Lesser General Public
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| 19 | License along with this library; if not, write to the Free Software
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| 20 | Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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| 21 |
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| 22 | *Tab=3***********************************************************************/
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| 23 |
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| 24 |
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| 25 |
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| 26 | #if defined (FFTRealPassDirect_CURRENT_CODEHEADER)
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| 27 | #error Recursive inclusion of FFTRealPassDirect code header.
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| 28 | #endif
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| 29 | #define FFTRealPassDirect_CURRENT_CODEHEADER
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| 30 |
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| 31 | #if ! defined (FFTRealPassDirect_CODEHEADER_INCLUDED)
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| 32 | #define FFTRealPassDirect_CODEHEADER_INCLUDED
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| 33 |
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| 34 |
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| 35 |
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| 36 | /*\\\ INCLUDE FILES \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
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| 37 |
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| 38 | #include "FFTRealUseTrigo.h"
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| 39 |
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| 40 |
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| 41 |
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| 42 | /*\\\ PUBLIC \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
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| 43 |
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| 44 |
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| 45 |
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| 46 | template <>
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| 47 | void FFTRealPassDirect <1>::process (long len, DataType dest_ptr [], DataType src_ptr [], const DataType x_ptr [], const DataType cos_ptr [], long cos_len, const long br_ptr [], OscType osc_list [])
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| 48 | {
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| 49 | // First and second pass at once
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| 50 | const long qlen = len >> 2;
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| 51 |
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| 52 | long coef_index = 0;
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| 53 | do
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| 54 | {
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| 55 | // To do: unroll the loop (2x).
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| 56 | const long ri_0 = br_ptr [coef_index >> 2];
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| 57 | const long ri_1 = ri_0 + 2 * qlen; // bit_rev_lut_ptr [coef_index + 1];
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| 58 | const long ri_2 = ri_0 + 1 * qlen; // bit_rev_lut_ptr [coef_index + 2];
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| 59 | const long ri_3 = ri_0 + 3 * qlen; // bit_rev_lut_ptr [coef_index + 3];
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| 60 |
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| 61 | DataType * const df2 = dest_ptr + coef_index;
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| 62 | df2 [1] = x_ptr [ri_0] - x_ptr [ri_1];
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| 63 | df2 [3] = x_ptr [ri_2] - x_ptr [ri_3];
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| 64 |
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| 65 | const DataType sf_0 = x_ptr [ri_0] + x_ptr [ri_1];
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| 66 | const DataType sf_2 = x_ptr [ri_2] + x_ptr [ri_3];
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| 67 |
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| 68 | df2 [0] = sf_0 + sf_2;
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| 69 | df2 [2] = sf_0 - sf_2;
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| 70 |
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| 71 | coef_index += 4;
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| 72 | }
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| 73 | while (coef_index < len);
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| 74 | }
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| 75 |
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| 76 | template <>
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| 77 | void FFTRealPassDirect <2>::process (long len, DataType dest_ptr [], DataType src_ptr [], const DataType x_ptr [], const DataType cos_ptr [], long cos_len, const long br_ptr [], OscType osc_list [])
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| 78 | {
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| 79 | // Executes "previous" passes first. Inverts source and destination buffers
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| 80 | FFTRealPassDirect <1>::process (
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| 81 | len,
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| 82 | src_ptr,
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| 83 | dest_ptr,
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| 84 | x_ptr,
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| 85 | cos_ptr,
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| 86 | cos_len,
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| 87 | br_ptr,
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| 88 | osc_list
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| 89 | );
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| 90 |
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| 91 | // Third pass
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| 92 | const DataType sqrt2_2 = DataType (SQRT2 * 0.5);
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| 93 |
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| 94 | long coef_index = 0;
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| 95 | do
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| 96 | {
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| 97 | dest_ptr [coef_index ] = src_ptr [coef_index] + src_ptr [coef_index + 4];
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| 98 | dest_ptr [coef_index + 4] = src_ptr [coef_index] - src_ptr [coef_index + 4];
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| 99 | dest_ptr [coef_index + 2] = src_ptr [coef_index + 2];
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| 100 | dest_ptr [coef_index + 6] = src_ptr [coef_index + 6];
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| 101 |
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| 102 | DataType v;
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| 103 |
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| 104 | v = (src_ptr [coef_index + 5] - src_ptr [coef_index + 7]) * sqrt2_2;
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| 105 | dest_ptr [coef_index + 1] = src_ptr [coef_index + 1] + v;
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| 106 | dest_ptr [coef_index + 3] = src_ptr [coef_index + 1] - v;
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| 107 |
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| 108 | v = (src_ptr [coef_index + 5] + src_ptr [coef_index + 7]) * sqrt2_2;
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| 109 | dest_ptr [coef_index + 5] = v + src_ptr [coef_index + 3];
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| 110 | dest_ptr [coef_index + 7] = v - src_ptr [coef_index + 3];
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| 111 |
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| 112 | coef_index += 8;
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| 113 | }
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| 114 | while (coef_index < len);
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| 115 | }
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| 116 |
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| 117 | template <int PASS>
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| 118 | void FFTRealPassDirect <PASS>::process (long len, DataType dest_ptr [], DataType src_ptr [], const DataType x_ptr [], const DataType cos_ptr [], long cos_len, const long br_ptr [], OscType osc_list [])
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| 119 | {
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| 120 | // Executes "previous" passes first. Inverts source and destination buffers
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| 121 | FFTRealPassDirect <PASS - 1>::process (
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| 122 | len,
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| 123 | src_ptr,
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| 124 | dest_ptr,
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| 125 | x_ptr,
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| 126 | cos_ptr,
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| 127 | cos_len,
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| 128 | br_ptr,
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| 129 | osc_list
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| 130 | );
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| 131 |
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| 132 | const long dist = 1L << (PASS - 1);
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| 133 | const long c1_r = 0;
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| 134 | const long c1_i = dist;
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| 135 | const long c2_r = dist * 2;
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| 136 | const long c2_i = dist * 3;
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| 137 | const long cend = dist * 4;
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| 138 | const long table_step = cos_len >> (PASS - 1);
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| 139 |
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| 140 | enum { TRIGO_OSC = PASS - FFTRealFixLenParam::TRIGO_BD_LIMIT };
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| 141 | enum { TRIGO_DIRECT = (TRIGO_OSC >= 0) ? 1 : 0 };
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| 142 |
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| 143 | long coef_index = 0;
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| 144 | do
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| 145 | {
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| 146 | const DataType * const sf = src_ptr + coef_index;
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| 147 | DataType * const df = dest_ptr + coef_index;
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| 148 |
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| 149 | // Extreme coefficients are always real
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| 150 | df [c1_r] = sf [c1_r] + sf [c2_r];
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| 151 | df [c2_r] = sf [c1_r] - sf [c2_r];
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| 152 | df [c1_i] = sf [c1_i];
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| 153 | df [c2_i] = sf [c2_i];
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| 154 |
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| 155 | FFTRealUseTrigo <TRIGO_DIRECT>::prepare (osc_list [TRIGO_OSC]);
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| 156 |
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| 157 | // Others are conjugate complex numbers
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| 158 | for (long i = 1; i < dist; ++ i)
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| 159 | {
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| 160 | DataType c;
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| 161 | DataType s;
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| 162 | FFTRealUseTrigo <TRIGO_DIRECT>::iterate (
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| 163 | osc_list [TRIGO_OSC],
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| 164 | c,
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| 165 | s,
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| 166 | cos_ptr,
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| 167 | i * table_step,
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| 168 | (dist - i) * table_step
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| 169 | );
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| 170 |
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| 171 | const DataType sf_r_i = sf [c1_r + i];
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| 172 | const DataType sf_i_i = sf [c1_i + i];
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| 173 |
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| 174 | const DataType v1 = sf [c2_r + i] * c - sf [c2_i + i] * s;
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| 175 | df [c1_r + i] = sf_r_i + v1;
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| 176 | df [c2_r - i] = sf_r_i - v1;
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| 177 |
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| 178 | const DataType v2 = sf [c2_r + i] * s + sf [c2_i + i] * c;
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| 179 | df [c2_r + i] = v2 + sf_i_i;
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| 180 | df [cend - i] = v2 - sf_i_i;
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| 181 | }
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| 182 |
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| 183 | coef_index += cend;
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| 184 | }
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| 185 | while (coef_index < len);
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| 186 | }
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| 187 |
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| 188 |
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| 189 |
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| 190 | /*\\\ PROTECTED \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
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| 191 |
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| 192 |
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| 193 |
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| 194 | /*\\\ PRIVATE \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
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| 195 |
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| 196 |
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| 197 |
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| 198 | #endif // FFTRealPassDirect_CODEHEADER_INCLUDED
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| 199 |
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| 200 | #undef FFTRealPassDirect_CURRENT_CODEHEADER
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| 201 |
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| 202 |
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| 203 |
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| 204 | /*\\\ EOF \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/
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