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pub fn create_fft(size: usize) -> Box { return Box::new(Radix2FFT::create(size)); } - // Get factors if is_prime(size) { - return Box::new(RaderFFT::create(size)); + return Box::new(NaiveDFT::create(size)); } - return Box::new(MixedRadixFFT::create(size)); + Box::new(MixedRadixFFT::create(size)) } // Utilities -fn prime_factors(n: usize) -> Vec { +pub fn prime_factors(n: usize) -> Vec { let mut factors = vec![]; let mut num = n; @@ -50,6 +51,7 @@ fn prime_factors(n: usize) -> Vec { if num % i == 0 { factors.push(i); num /= i; + break; } } } diff --git a/src/fft/mixed_radix.rs b/src/fft/mixed_radix.rs index c9f2991..d4643ac 100644 --- a/src/fft/mixed_radix.rs +++ b/src/fft/mixed_radix.rs @@ -26,14 +26,19 @@ impl DFT for MixedRadixFFT { fn create(size: usize) -> Self { let q = decide_radix_factor(size); let p = size / q; + // TODO: Figure out why it does not work in the other direction ... + let (p, q) = (q, p); let qfft = create_fft(q); let pfft = create_fft(p); + //let qfft = Box::new(NaiveDFT::create(q)); + //let pfft = Box::new(NaiveDFT::create(p)); + MixedRadixFFT { input_buffer: vec![Complex32::zero(); size].into_boxed_slice(), output_buffer: vec![Complex32::zero(); size].into_boxed_slice(), size, - twiddle_factors: compute_twiddle_factors(q, p), + twiddle_factors: compute_twiddle_factors(size), qfft, pfft, @@ -55,8 +60,8 @@ impl DFT for MixedRadixFFT { for j0 in 0..self.q { // "Store j0'th of k0'th fft into staging buffer" - self.staging_buffer[k0 * self.q + j0] = - self.qfft.get_output()[j0] * self.twiddle_factors[k0 * self.q + j0]; + self.staging_buffer[j0 * self.p + k0] = + self.qfft.get_output()[j0] * self.twiddle_factors[j0 * k0]; } } @@ -64,7 +69,7 @@ impl DFT for MixedRadixFFT { for j0 in 0..self.q { // Copy input for k0 in 0..self.p { - self.pfft.get_input()[k0] = self.staging_buffer[k0 * self.q + j0]; + self.pfft.get_input()[k0] = self.staging_buffer[j0 * self.p + k0]; } self.pfft.execute(); @@ -84,14 +89,11 @@ impl DFT for MixedRadixFFT { } } -fn compute_twiddle_factors(q: usize, p: usize) -> Box<[Complex32]> { - let mut factors = vec![Complex32::zero(); q * p].into_boxed_slice(); - let n = p * q; +fn compute_twiddle_factors(size: usize) -> Box<[Complex32]> { + let mut factors = vec![Complex32::zero(); size].into_boxed_slice(); - for i in 0..q { - for j in 0..p { - factors[i * p + j] = Complex32::cexp(2. * PI / (n as f32)); - } + for i in 0..size { + factors[i] = Complex32::cexp(2. * PI * i as f32 / (size as f32)); } factors } @@ -99,6 +101,7 @@ fn compute_twiddle_factors(q: usize, p: usize) -> Box<[Complex32]> { // This will decide on a good factor to use for the mixed radix fft fn decide_radix_factor(n: usize) -> usize { let factors = prime_factors(n); + //factors.iter().for_each(|a| print!(" {a} ")); let two_count = factors.iter().take_while(|i| **i == 2).count(); // If there is a lot of two, we can use them as q factor to be able to use radix2 later on @@ -107,5 +110,5 @@ fn decide_radix_factor(n: usize) -> usize { } // Otherwise take next big prime - return *factors.iter().skip(two_count).next().unwrap(); + *factors.get(two_count).unwrap() } diff --git a/src/fft/rader.rs b/src/fft/rader.rs index 10afe00..3f0f6c8 100644 --- a/src/fft/rader.rs +++ b/src/fft/rader.rs @@ -13,7 +13,6 @@ pub struct RaderFFT { output_buffer: Box<[Complex32]>, size: usize, - g: usize, // Fourrier transform of the exponential terms convolution_operand: Box<[Complex32]>, @@ -33,10 +32,9 @@ impl DFT for RaderFFT { output_buffer: vec![Complex32::zero(); size].into_boxed_slice(), size, - g, convolution_operand: compute_convolution_operand(size, &permutation), - convolution_fft: Box::new(NaiveDFT::create(size - 1)), + convolution_fft: create_fft(size - 1), permutation, } } diff --git a/src/main.rs b/src/main.rs index 3ac6981..538c2f2 100644 --- a/src/main.rs +++ b/src/main.rs @@ -15,13 +15,11 @@ use complex::Complex; use complex::Complex32; use fft::rader; use nco::Nco; +use plotters::prelude::*; + use crate::fft::{ - DFT, create_fft, - dft::NaiveDFT, - mixed_radix::MixedRadixFFT, - rader::{RaderFFT, compute_prime_primitive_root, exp_mod}, - radix2::Radix2FFT, + create_fft, dft::NaiveDFT, mixed_radix::MixedRadixFFT, prime_factors, rader::{compute_prime_primitive_root, exp_mod, RaderFFT}, radix2::Radix2FFT, DFT }; // Utilities @@ -44,42 +42,50 @@ fn test() { let freq1 = 2. * PI / 4.0; let freq2 = 2. * PI / 8.0; - let sample_count = 4799; + //let sample_count = 71*71; + //let sample_count = 71*71; + let sample_count = 4800; let mut o1 = Nco::new(freq1); let mut o2 = Nco::new(freq2); + - let mut fft = RaderFFT::create(sample_count); - //let mut dft = NaiveDFT::create(sample_count); - let vals = fft.get_input(); - //let vals_dft = dft.get_input(); - for x in vals.iter_mut() { + let mut fft = create_fft(sample_count); + //let mut fft = create_fft(sample_count); + for x in fft.get_input().iter_mut() { *x = o1.cexp() + o2.cexp(); - //*y = *x; - //*x = o2.cexp(); //+ o2.cexp(); - //*x = *x * (1. / x.mag()); + o1.step(); o2.step(); } fft.execute(); - //dft.execute(); - let output = fft.get_output(); - let mut f = File::create("out.csv").unwrap(); - for (i, v) in output.iter().enumerate() { - f.write_all( - format!( - "{},{},\n", - i as f32 / sample_count as f32, - v.mag(), - //v2.mag() - ) - .to_string() - .as_bytes(), - ) - .unwrap(); - } + let root = BitMapBackend::new("out.png", (640, 480)).into_drawing_area(); + root.fill(&WHITE).unwrap(); + let mut chart = ChartBuilder::on(&root) + .caption("fft", ("sans-serif", 50).into_font()) + .margin(5) + .x_label_area_size(30) + .y_label_area_size(30) + .build_cartesian_2d(0f32..(sample_count as f32), 0f32..(sample_count as f32)).unwrap(); + + //chart.configure_mesh().draw()?; + + chart + .draw_series(LineSeries::new( + (0..sample_count).zip(fft.get_output().iter()).map(|(x, y)| (x as f32, y.mag())), + &RED, + )).unwrap() + .legend(|(x, y)| PathElement::new(vec![(x, y), (x + 20, y)], &RED)); + + chart + .configure_series_labels() + .background_style(&WHITE.mix(0.8)) + .border_style(&BLACK) + .draw().unwrap(); + + root.present().unwrap(); } fn modulate() {