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| 1 | +//! Decimation-in-Frequency (DIF) FFT Implementation |
| 2 | +//! |
| 3 | +//! The DIF algorithm applies butterflies that progressively increase from size 2^{0} up to size |
| 4 | +//! `2^{log(N)}`, where `N` is the size of the input, and `log(N)` is the # of stages required to |
| 5 | +//! process the input. |
| 6 | +//! |
| 7 | +//! Input is processed in natural order and output can be bit-reversed. |
| 8 | +//! |
| 9 | +//! ## Algorithm Overview |
| 10 | +//! |
| 11 | +//! 1. Start with butterflies with strides of 2^{log(N)}, where N is the size of the input. |
| 12 | +//! 2. Works up to the last stage, with log(N) stages in total. |
| 13 | +//! 3. Optionally apply bit-reversal at the end |
| 14 | +//! |
| 15 | +use crate::cobra::cobra_apply; |
| 16 | +use crate::kernels::common::{fft_chunk_2, fft_chunk_4}; |
| 17 | +use crate::kernels::dif::{fft_32_chunk_n_simd, fft_64_chunk_n_simd, fft_chunk_n}; |
| 18 | +use crate::options::Options; |
| 19 | +use crate::planner::{Direction, Planner32, Planner64}; |
| 20 | +use crate::twiddles::filter_twiddles; |
| 21 | + |
| 22 | +/// DIF FFT for f64 with options and pre-computed planner |
| 23 | +/// |
| 24 | +/// This is the core DIF implementation that processes data from large butterflies |
| 25 | +/// to small, optionally applying bit-reversal at the end. |
| 26 | +/// |
| 27 | +/// # Arguments |
| 28 | +/// |
| 29 | +/// * `reals` - Real components of the signal (modified in-place) |
| 30 | +/// * `imags` - Imaginary components of the signal (modified in-place) |
| 31 | +/// * `opts` - Options controlling optimization strategies |
| 32 | +/// * `planner` - Pre-computed planner with twiddle factors |
| 33 | +/// |
| 34 | +/// # Panics |
| 35 | +/// |
| 36 | +/// Panics if input length is not a power of 2 or if real and imaginary arrays have different lengths |
| 37 | +#[multiversion::multiversion( |
| 38 | + targets("x86_64+avx512f+avx512bw+avx512cd+avx512dq+avx512vl", // x86_64-v4 |
| 39 | + "x86_64+avx2+fma", // x86_64-v3 |
| 40 | + "x86_64+sse4.2", // x86_64-v2 |
| 41 | + "x86+avx512f+avx512bw+avx512cd+avx512dq+avx512vl", |
| 42 | + "x86+avx2+fma", |
| 43 | + "x86+sse4.2", |
| 44 | + "x86+sse2", |
| 45 | + "aarch64+neon", // ARM64 with NEON (Apple Silicon M1/M2) |
| 46 | +))] |
| 47 | +pub fn fft_64_with_opts_and_plan( |
| 48 | + reals: &mut [f64], |
| 49 | + imags: &mut [f64], |
| 50 | + opts: &Options, |
| 51 | + planner: &Planner64, |
| 52 | +) { |
| 53 | + assert!(reals.len() == imags.len() && reals.len().is_power_of_two()); |
| 54 | + let n: usize = reals.len().ilog2() as usize; |
| 55 | + |
| 56 | + let twiddles_re = &planner.twiddles_re; |
| 57 | + let twiddles_im = &planner.twiddles_im; |
| 58 | + |
| 59 | + assert!(twiddles_re.len() == reals.len() / 2 && twiddles_im.len() == imags.len() / 2); |
| 60 | + |
| 61 | + // Handle inverse transform |
| 62 | + if let Direction::Reverse = planner.direction { |
| 63 | + for z_im in imags.iter_mut() { |
| 64 | + *z_im = -*z_im; |
| 65 | + } |
| 66 | + }; |
| 67 | + |
| 68 | + // First stage - no twiddle filtering needed |
| 69 | + let dist = 1 << (n - 1); |
| 70 | + let chunk_size = dist << 1; |
| 71 | + |
| 72 | + if chunk_size > 4 { |
| 73 | + if chunk_size >= 8 * 2 { |
| 74 | + fft_64_chunk_n_simd(reals, imags, twiddles_re, twiddles_im, dist); |
| 75 | + } else { |
| 76 | + fft_chunk_n(reals, imags, twiddles_re, twiddles_im, dist); |
| 77 | + } |
| 78 | + } else if chunk_size == 4 { |
| 79 | + fft_chunk_4(reals, imags); |
| 80 | + } else if chunk_size == 2 { |
| 81 | + fft_chunk_2(reals, imags); |
| 82 | + } |
| 83 | + |
| 84 | + let (mut filtered_twiddles_re, mut filtered_twiddles_im) = |
| 85 | + filter_twiddles(twiddles_re, twiddles_im); |
| 86 | + |
| 87 | + // Subsequent stages with filtered twiddles |
| 88 | + for t in (0..n - 1).rev() { |
| 89 | + let dist = 1 << t; |
| 90 | + let chunk_size = dist << 1; |
| 91 | + |
| 92 | + if chunk_size > 4 { |
| 93 | + if chunk_size >= 8 * 2 { |
| 94 | + fft_64_chunk_n_simd( |
| 95 | + reals, |
| 96 | + imags, |
| 97 | + &filtered_twiddles_re, |
| 98 | + &filtered_twiddles_im, |
| 99 | + dist, |
| 100 | + ); |
| 101 | + } else { |
| 102 | + fft_chunk_n( |
| 103 | + reals, |
| 104 | + imags, |
| 105 | + &filtered_twiddles_re, |
| 106 | + &filtered_twiddles_im, |
| 107 | + dist, |
| 108 | + ); |
| 109 | + } |
| 110 | + } else if chunk_size == 4 { |
| 111 | + fft_chunk_4(reals, imags); |
| 112 | + } else if chunk_size == 2 { |
| 113 | + fft_chunk_2(reals, imags); |
| 114 | + } |
| 115 | + |
| 116 | + (filtered_twiddles_re, filtered_twiddles_im) = |
| 117 | + filter_twiddles(&filtered_twiddles_re, &filtered_twiddles_im); |
| 118 | + } |
| 119 | + |
| 120 | + // Optional bit reversal (controlled by options) |
| 121 | + if opts.dif_perform_bit_reversal { |
| 122 | + if opts.multithreaded_bit_reversal { |
| 123 | + std::thread::scope(|s| { |
| 124 | + s.spawn(|| cobra_apply(reals, n)); |
| 125 | + s.spawn(|| cobra_apply(imags, n)); |
| 126 | + }); |
| 127 | + } else { |
| 128 | + cobra_apply(reals, n); |
| 129 | + cobra_apply(imags, n); |
| 130 | + } |
| 131 | + } |
| 132 | + |
| 133 | + // Scaling for inverse transform |
| 134 | + if let Direction::Reverse = planner.direction { |
| 135 | + let scaling_factor = (reals.len() as f64).recip(); |
| 136 | + for (z_re, z_im) in reals.iter_mut().zip(imags.iter_mut()) { |
| 137 | + *z_re *= scaling_factor; |
| 138 | + *z_im *= -scaling_factor; |
| 139 | + } |
| 140 | + } |
| 141 | +} |
| 142 | + |
| 143 | +/// DIF FFT for f32 with options and pre-computed planner |
| 144 | +/// |
| 145 | +/// This is the core DIF implementation for single-precision floating point. |
| 146 | +#[multiversion::multiversion(targets( |
| 147 | + "x86_64+avx512f+avx512bw+avx512cd+avx512dq+avx512vl", |
| 148 | + "x86_64+avx2+fma", |
| 149 | + "x86_64+sse4.2", |
| 150 | + "x86+avx512f+avx512bw+avx512cd+avx512dq+avx512vl", |
| 151 | + "x86+avx2+fma", |
| 152 | + "x86+sse4.2", |
| 153 | + "x86+sse2", |
| 154 | + "aarch64+neon", |
| 155 | +))] |
| 156 | +pub fn fft_32_with_opts_and_plan( |
| 157 | + reals: &mut [f32], |
| 158 | + imags: &mut [f32], |
| 159 | + opts: &Options, |
| 160 | + planner: &Planner32, |
| 161 | +) { |
| 162 | + assert!(reals.len() == imags.len() && reals.len().is_power_of_two()); |
| 163 | + let n: usize = reals.len().ilog2() as usize; |
| 164 | + |
| 165 | + let twiddles_re = &planner.twiddles_re; |
| 166 | + let twiddles_im = &planner.twiddles_im; |
| 167 | + |
| 168 | + assert!(twiddles_re.len() == reals.len() / 2 && twiddles_im.len() == imags.len() / 2); |
| 169 | + |
| 170 | + // Handle inverse transform |
| 171 | + if let Direction::Reverse = planner.direction { |
| 172 | + for z_im in imags.iter_mut() { |
| 173 | + *z_im = -*z_im; |
| 174 | + } |
| 175 | + } |
| 176 | + |
| 177 | + // First stage - no twiddle filtering needed |
| 178 | + let dist = 1 << (n - 1); |
| 179 | + let chunk_size = dist << 1; |
| 180 | + |
| 181 | + if chunk_size > 4 { |
| 182 | + if chunk_size >= 16 * 2 { |
| 183 | + fft_32_chunk_n_simd(reals, imags, twiddles_re, twiddles_im, dist); |
| 184 | + } else { |
| 185 | + fft_chunk_n(reals, imags, twiddles_re, twiddles_im, dist); |
| 186 | + } |
| 187 | + } else if chunk_size == 4 { |
| 188 | + fft_chunk_4(reals, imags); |
| 189 | + } else if chunk_size == 2 { |
| 190 | + fft_chunk_2(reals, imags); |
| 191 | + } |
| 192 | + |
| 193 | + let (mut filtered_twiddles_re, mut filtered_twiddles_im) = |
| 194 | + filter_twiddles(twiddles_re, twiddles_im); |
| 195 | + |
| 196 | + // Subsequent stages with filtered twiddles |
| 197 | + for t in (0..n - 1).rev() { |
| 198 | + let dist = 1 << t; |
| 199 | + let chunk_size = dist << 1; |
| 200 | + |
| 201 | + if chunk_size > 4 { |
| 202 | + if chunk_size >= 16 * 2 { |
| 203 | + fft_32_chunk_n_simd( |
| 204 | + reals, |
| 205 | + imags, |
| 206 | + &filtered_twiddles_re, |
| 207 | + &filtered_twiddles_im, |
| 208 | + dist, |
| 209 | + ); |
| 210 | + } else { |
| 211 | + fft_chunk_n( |
| 212 | + reals, |
| 213 | + imags, |
| 214 | + &filtered_twiddles_re, |
| 215 | + &filtered_twiddles_im, |
| 216 | + dist, |
| 217 | + ); |
| 218 | + } |
| 219 | + } else if chunk_size == 4 { |
| 220 | + fft_chunk_4(reals, imags); |
| 221 | + } else if chunk_size == 2 { |
| 222 | + fft_chunk_2(reals, imags); |
| 223 | + } |
| 224 | + |
| 225 | + (filtered_twiddles_re, filtered_twiddles_im) = |
| 226 | + filter_twiddles(&filtered_twiddles_re, &filtered_twiddles_im); |
| 227 | + } |
| 228 | + |
| 229 | + if opts.dif_perform_bit_reversal { |
| 230 | + if opts.multithreaded_bit_reversal { |
| 231 | + std::thread::scope(|s| { |
| 232 | + s.spawn(|| cobra_apply(reals, n)); |
| 233 | + s.spawn(|| cobra_apply(imags, n)); |
| 234 | + }); |
| 235 | + } else { |
| 236 | + cobra_apply(reals, n); |
| 237 | + cobra_apply(imags, n); |
| 238 | + } |
| 239 | + } |
| 240 | + |
| 241 | + // Scaling for inverse transform |
| 242 | + if let Direction::Reverse = planner.direction { |
| 243 | + let scaling_factor = (reals.len() as f32).recip(); |
| 244 | + for (z_re, z_im) in reals.iter_mut().zip(imags.iter_mut()) { |
| 245 | + *z_re *= scaling_factor; |
| 246 | + *z_im *= -scaling_factor; |
| 247 | + } |
| 248 | + }; |
| 249 | +} |
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