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2 | mjames | 1 | /* ---------------------------------------------------------------------- |
2 | * Project: CMSIS DSP Library |
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3 | * Title: arm_cfft_radix8_f32.c |
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4 | * Description: Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function |
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5 | * |
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6 | * $Date: 27. January 2017 |
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7 | * $Revision: V.1.5.1 |
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8 | * |
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9 | * Target Processor: Cortex-M cores |
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10 | * -------------------------------------------------------------------- */ |
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11 | /* |
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12 | * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. |
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13 | * |
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14 | * SPDX-License-Identifier: Apache-2.0 |
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15 | * |
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16 | * Licensed under the Apache License, Version 2.0 (the License); you may |
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17 | * not use this file except in compliance with the License. |
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18 | * You may obtain a copy of the License at |
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19 | * |
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20 | * www.apache.org/licenses/LICENSE-2.0 |
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21 | * |
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22 | * Unless required by applicable law or agreed to in writing, software |
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23 | * distributed under the License is distributed on an AS IS BASIS, WITHOUT |
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24 | * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
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25 | * See the License for the specific language governing permissions and |
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26 | * limitations under the License. |
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27 | */ |
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28 | |||
29 | #include "arm_math.h" |
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30 | |||
31 | |||
32 | /* ---------------------------------------------------------------------- |
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33 | * Internal helper function used by the FFTs |
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34 | * -------------------------------------------------------------------- */ |
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35 | |||
36 | /* |
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37 | * @brief Core function for the floating-point CFFT butterfly process. |
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38 | * @param[in, out] *pSrc points to the in-place buffer of floating-point data type. |
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39 | * @param[in] fftLen length of the FFT. |
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40 | * @param[in] *pCoef points to the twiddle coefficient buffer. |
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41 | * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. |
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42 | * @return none. |
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43 | */ |
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44 | |||
45 | void arm_radix8_butterfly_f32( |
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46 | float32_t * pSrc, |
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47 | uint16_t fftLen, |
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48 | const float32_t * pCoef, |
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49 | uint16_t twidCoefModifier) |
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50 | { |
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51 | uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7; |
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52 | uint32_t i1, i2, i3, i4, i5, i6, i7, i8; |
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53 | uint32_t id; |
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54 | uint32_t n1, n2, j; |
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55 | |||
56 | float32_t r1, r2, r3, r4, r5, r6, r7, r8; |
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57 | float32_t t1, t2; |
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58 | float32_t s1, s2, s3, s4, s5, s6, s7, s8; |
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59 | float32_t p1, p2, p3, p4; |
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60 | float32_t co2, co3, co4, co5, co6, co7, co8; |
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61 | float32_t si2, si3, si4, si5, si6, si7, si8; |
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62 | const float32_t C81 = 0.70710678118f; |
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63 | |||
64 | n2 = fftLen; |
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65 | |||
66 | do |
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67 | { |
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68 | n1 = n2; |
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69 | n2 = n2 >> 3; |
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70 | i1 = 0; |
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71 | |||
72 | do |
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73 | { |
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74 | i2 = i1 + n2; |
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75 | i3 = i2 + n2; |
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76 | i4 = i3 + n2; |
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77 | i5 = i4 + n2; |
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78 | i6 = i5 + n2; |
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79 | i7 = i6 + n2; |
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80 | i8 = i7 + n2; |
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81 | r1 = pSrc[2 * i1] + pSrc[2 * i5]; |
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82 | r5 = pSrc[2 * i1] - pSrc[2 * i5]; |
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83 | r2 = pSrc[2 * i2] + pSrc[2 * i6]; |
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84 | r6 = pSrc[2 * i2] - pSrc[2 * i6]; |
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85 | r3 = pSrc[2 * i3] + pSrc[2 * i7]; |
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86 | r7 = pSrc[2 * i3] - pSrc[2 * i7]; |
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87 | r4 = pSrc[2 * i4] + pSrc[2 * i8]; |
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88 | r8 = pSrc[2 * i4] - pSrc[2 * i8]; |
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89 | t1 = r1 - r3; |
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90 | r1 = r1 + r3; |
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91 | r3 = r2 - r4; |
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92 | r2 = r2 + r4; |
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93 | pSrc[2 * i1] = r1 + r2; |
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94 | pSrc[2 * i5] = r1 - r2; |
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95 | r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1]; |
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96 | s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1]; |
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97 | r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1]; |
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98 | s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1]; |
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99 | s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1]; |
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100 | s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1]; |
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101 | r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1]; |
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102 | s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1]; |
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103 | t2 = r1 - s3; |
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104 | r1 = r1 + s3; |
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105 | s3 = r2 - r4; |
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106 | r2 = r2 + r4; |
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107 | pSrc[2 * i1 + 1] = r1 + r2; |
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108 | pSrc[2 * i5 + 1] = r1 - r2; |
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109 | pSrc[2 * i3] = t1 + s3; |
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110 | pSrc[2 * i7] = t1 - s3; |
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111 | pSrc[2 * i3 + 1] = t2 - r3; |
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112 | pSrc[2 * i7 + 1] = t2 + r3; |
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113 | r1 = (r6 - r8) * C81; |
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114 | r6 = (r6 + r8) * C81; |
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115 | r2 = (s6 - s8) * C81; |
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116 | s6 = (s6 + s8) * C81; |
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117 | t1 = r5 - r1; |
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118 | r5 = r5 + r1; |
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119 | r8 = r7 - r6; |
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120 | r7 = r7 + r6; |
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121 | t2 = s5 - r2; |
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122 | s5 = s5 + r2; |
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123 | s8 = s7 - s6; |
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124 | s7 = s7 + s6; |
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125 | pSrc[2 * i2] = r5 + s7; |
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126 | pSrc[2 * i8] = r5 - s7; |
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127 | pSrc[2 * i6] = t1 + s8; |
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128 | pSrc[2 * i4] = t1 - s8; |
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129 | pSrc[2 * i2 + 1] = s5 - r7; |
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130 | pSrc[2 * i8 + 1] = s5 + r7; |
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131 | pSrc[2 * i6 + 1] = t2 - r8; |
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132 | pSrc[2 * i4 + 1] = t2 + r8; |
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133 | |||
134 | i1 += n1; |
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135 | } while (i1 < fftLen); |
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136 | |||
137 | if (n2 < 8) |
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138 | break; |
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139 | |||
140 | ia1 = 0; |
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141 | j = 1; |
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142 | |||
143 | do |
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144 | { |
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145 | /* index calculation for the coefficients */ |
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146 | id = ia1 + twidCoefModifier; |
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147 | ia1 = id; |
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148 | ia2 = ia1 + id; |
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149 | ia3 = ia2 + id; |
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150 | ia4 = ia3 + id; |
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151 | ia5 = ia4 + id; |
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152 | ia6 = ia5 + id; |
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153 | ia7 = ia6 + id; |
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154 | |||
155 | co2 = pCoef[2 * ia1]; |
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156 | co3 = pCoef[2 * ia2]; |
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157 | co4 = pCoef[2 * ia3]; |
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158 | co5 = pCoef[2 * ia4]; |
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159 | co6 = pCoef[2 * ia5]; |
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160 | co7 = pCoef[2 * ia6]; |
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161 | co8 = pCoef[2 * ia7]; |
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162 | si2 = pCoef[2 * ia1 + 1]; |
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163 | si3 = pCoef[2 * ia2 + 1]; |
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164 | si4 = pCoef[2 * ia3 + 1]; |
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165 | si5 = pCoef[2 * ia4 + 1]; |
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166 | si6 = pCoef[2 * ia5 + 1]; |
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167 | si7 = pCoef[2 * ia6 + 1]; |
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168 | si8 = pCoef[2 * ia7 + 1]; |
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169 | |||
170 | i1 = j; |
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171 | |||
172 | do |
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173 | { |
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174 | /* index calculation for the input */ |
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175 | i2 = i1 + n2; |
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176 | i3 = i2 + n2; |
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177 | i4 = i3 + n2; |
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178 | i5 = i4 + n2; |
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179 | i6 = i5 + n2; |
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180 | i7 = i6 + n2; |
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181 | i8 = i7 + n2; |
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182 | r1 = pSrc[2 * i1] + pSrc[2 * i5]; |
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183 | r5 = pSrc[2 * i1] - pSrc[2 * i5]; |
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184 | r2 = pSrc[2 * i2] + pSrc[2 * i6]; |
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185 | r6 = pSrc[2 * i2] - pSrc[2 * i6]; |
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186 | r3 = pSrc[2 * i3] + pSrc[2 * i7]; |
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187 | r7 = pSrc[2 * i3] - pSrc[2 * i7]; |
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188 | r4 = pSrc[2 * i4] + pSrc[2 * i8]; |
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189 | r8 = pSrc[2 * i4] - pSrc[2 * i8]; |
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190 | t1 = r1 - r3; |
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191 | r1 = r1 + r3; |
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192 | r3 = r2 - r4; |
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193 | r2 = r2 + r4; |
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194 | pSrc[2 * i1] = r1 + r2; |
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195 | r2 = r1 - r2; |
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196 | s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1]; |
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197 | s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1]; |
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198 | s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1]; |
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199 | s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1]; |
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200 | s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1]; |
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201 | s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1]; |
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202 | s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1]; |
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203 | s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1]; |
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204 | t2 = s1 - s3; |
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205 | s1 = s1 + s3; |
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206 | s3 = s2 - s4; |
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207 | s2 = s2 + s4; |
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208 | r1 = t1 + s3; |
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209 | t1 = t1 - s3; |
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210 | pSrc[2 * i1 + 1] = s1 + s2; |
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211 | s2 = s1 - s2; |
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212 | s1 = t2 - r3; |
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213 | t2 = t2 + r3; |
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214 | p1 = co5 * r2; |
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215 | p2 = si5 * s2; |
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216 | p3 = co5 * s2; |
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217 | p4 = si5 * r2; |
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218 | pSrc[2 * i5] = p1 + p2; |
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219 | pSrc[2 * i5 + 1] = p3 - p4; |
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220 | p1 = co3 * r1; |
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221 | p2 = si3 * s1; |
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222 | p3 = co3 * s1; |
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223 | p4 = si3 * r1; |
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224 | pSrc[2 * i3] = p1 + p2; |
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225 | pSrc[2 * i3 + 1] = p3 - p4; |
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226 | p1 = co7 * t1; |
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227 | p2 = si7 * t2; |
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228 | p3 = co7 * t2; |
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229 | p4 = si7 * t1; |
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230 | pSrc[2 * i7] = p1 + p2; |
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231 | pSrc[2 * i7 + 1] = p3 - p4; |
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232 | r1 = (r6 - r8) * C81; |
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233 | r6 = (r6 + r8) * C81; |
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234 | s1 = (s6 - s8) * C81; |
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235 | s6 = (s6 + s8) * C81; |
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236 | t1 = r5 - r1; |
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237 | r5 = r5 + r1; |
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238 | r8 = r7 - r6; |
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239 | r7 = r7 + r6; |
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240 | t2 = s5 - s1; |
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241 | s5 = s5 + s1; |
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242 | s8 = s7 - s6; |
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243 | s7 = s7 + s6; |
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244 | r1 = r5 + s7; |
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245 | r5 = r5 - s7; |
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246 | r6 = t1 + s8; |
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247 | t1 = t1 - s8; |
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248 | s1 = s5 - r7; |
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249 | s5 = s5 + r7; |
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250 | s6 = t2 - r8; |
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251 | t2 = t2 + r8; |
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252 | p1 = co2 * r1; |
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253 | p2 = si2 * s1; |
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254 | p3 = co2 * s1; |
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255 | p4 = si2 * r1; |
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256 | pSrc[2 * i2] = p1 + p2; |
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257 | pSrc[2 * i2 + 1] = p3 - p4; |
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258 | p1 = co8 * r5; |
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259 | p2 = si8 * s5; |
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260 | p3 = co8 * s5; |
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261 | p4 = si8 * r5; |
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262 | pSrc[2 * i8] = p1 + p2; |
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263 | pSrc[2 * i8 + 1] = p3 - p4; |
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264 | p1 = co6 * r6; |
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265 | p2 = si6 * s6; |
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266 | p3 = co6 * s6; |
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267 | p4 = si6 * r6; |
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268 | pSrc[2 * i6] = p1 + p2; |
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269 | pSrc[2 * i6 + 1] = p3 - p4; |
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270 | p1 = co4 * t1; |
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271 | p2 = si4 * t2; |
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272 | p3 = co4 * t2; |
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273 | p4 = si4 * t1; |
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274 | pSrc[2 * i4] = p1 + p2; |
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275 | pSrc[2 * i4 + 1] = p3 - p4; |
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276 | |||
277 | i1 += n1; |
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278 | } while (i1 < fftLen); |
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279 | |||
280 | j++; |
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281 | } while (j < n2); |
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282 | |||
283 | twidCoefModifier <<= 3; |
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284 | } while (n2 > 7); |
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285 | } |