From bd7ae2b19e67828b4a977ac75b6018a92f24a808 Mon Sep 17 00:00:00 2001
From: Albin Chaboissier <chalbin73@gmail.com>
Date: Wed, 24 Sep 2025 09:03:13 +0200
Subject: [PATCH] Working FFTs

---
 out.csv                | 19809 +++++++++++++++++++++++++++++----------
 out.png                |   Bin 6813 -> 6932 bytes
 src/fft.rs             |    42 +-
 src/fft/dft.rs         |    27 +-
 src/fft/mixed_radix.rs |    21 +-
 src/fft/rader.rs       |    23 +-
 src/fft/rader2.rs      |     6 +-
 src/fft/radix2.rs      |     8 +-
 src/main.rs            |   138 +-
 9 files changed, 15071 insertions(+), 5003 deletions(-)

diff --git a/out.csv b/out.csv
index 384b351..606a005 100644
--- a/out.csv
+++ b/out.csv
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diff --git a/src/fft.rs b/src/fft.rs
index cd025f0..a1b126c 100644
--- a/src/fft.rs
+++ b/src/fft.rs
@@ -9,14 +9,26 @@ use std::iter::Map;
 
 use crate::{
     complex::Complex32,
-    fft::{
-        dft::NaiveDFT, mixed_radix::MixedRadixFFT, rader::RaderFFT, rader2::Rader2FFT,
-        radix2::Radix2FFT,
-    },
+    fft::{dft::NaiveDFT, mixed_radix::MixedRadixFFT, rader::RaderFFT, radix2::Radix2FFT},
 };
 
+#[derive(Copy, Clone)]
+pub enum FFTDirection {
+    Forward,
+    Inverse,
+}
+
+impl FFTDirection {
+    fn sign(&self) -> f32 {
+        match self {
+            FFTDirection::Forward => 1.,
+            FFTDirection::Inverse => -1.,
+        }
+    }
+}
+
 pub trait DFT {
-    fn create(size: usize) -> Self
+    fn create(size: usize, direction: FFTDirection) -> Self
     where
         Self: Sized;
 
@@ -30,25 +42,23 @@ pub trait DFTWindow {
     fn eval(t: f32) -> f32;
 }
 
-pub fn create_fft(size: usize) -> Box<dyn DFT> {
+pub fn create_fft(size: usize, direction: FFTDirection) -> Box<dyn DFT> {
     if size <= 16 {
-        println!("Naive {size}");
-        return Box::new(NaiveDFT::create(size));
+        //println!("Naive {size}");
+        return Box::new(NaiveDFT::create(size, direction));
     }
     if size.count_ones() == 1 {
-        // TODO: Return hardcoded fft for small sized
-        println!("Radix 2 {size}");
-        return Box::new(Radix2FFT::create(size));
-        //return Box::new(::create(size));
+        //println!("Radix 2 {size}");
+        return Box::new(Radix2FFT::create(size, direction));
     }
 
     if is_prime(size) {
-        println!("Prime rader {size}");
-        return Box::new(RaderFFT::create(size));
+        //println!("Prime rader {size}");
+        return Box::new(RaderFFT::create(size, direction));
     }
 
-    println!("Mixed radix {size}");
-    Box::new(MixedRadixFFT::create(size))
+    //println!("Mixed radix {size}");
+    Box::new(MixedRadixFFT::create(size, direction))
 }
 
 // Utilities
diff --git a/src/fft/dft.rs b/src/fft/dft.rs
index cdae4ef..8a2fc2d 100644
--- a/src/fft/dft.rs
+++ b/src/fft/dft.rs
@@ -1,21 +1,23 @@
 use crate::complex::Complex32;
-use crate::fft::DFT;
+use crate::fft::{DFT, FFTDirection};
 use std::f32::consts::PI;
 
 pub struct NaiveDFT {
     output_buffer: Box<[Complex32]>,
     input_buffer: Box<[Complex32]>,
+    direction: FFTDirection,
     size: usize,
 }
 
 impl DFT for NaiveDFT {
-    fn create(size: usize) -> Self
+    fn create(size: usize, direction: FFTDirection) -> Self
     where
         Self: Sized,
     {
         NaiveDFT {
             output_buffer: vec![Complex32::zero(); size].into_boxed_slice(),
             input_buffer: vec![Complex32::zero(); size].into_boxed_slice(),
+            direction,
             size,
         }
     }
@@ -25,11 +27,13 @@ impl DFT for NaiveDFT {
             *out = Complex32::zero();
             for (i, inp) in self.input_buffer.iter().enumerate() {
                 *out = *out
-                    + ((*inp * Complex32::cexp(-2. * PI * (i * freq) as f32 / self.size as f32))
+                    + ((*inp
+                        * Complex32::cexp(
+                            -2. * self.direction.sign() * PI * (i * freq) as f32 / self.size as f32,
+                        ))
                         * window(i as f32 / self.size as f32));
             }
         }
-
     }
 
     fn get_input(&mut self) -> &mut [Complex32] {
@@ -40,18 +44,3 @@ impl DFT for NaiveDFT {
         &self.output_buffer
     }
 }
-
-impl NaiveDFT
-{
-    pub fn execute_inv(&mut self, window: fn(f32) -> f32) {
-        for (freq, out) in self.output_buffer.iter_mut().enumerate() {
-            *out = Complex32::zero();
-            for (i, inp) in self.input_buffer.iter().enumerate() {
-                *out = *out
-                    + ((*inp * Complex32::cexp(2. * PI * (i * freq) as f32 / self.size as f32))
-                        * window(i as f32 / self.size as f32));
-            }
-        }
-
-    }
-}
diff --git a/src/fft/mixed_radix.rs b/src/fft/mixed_radix.rs
index 30c0577..e48fe9c 100644
--- a/src/fft/mixed_radix.rs
+++ b/src/fft/mixed_radix.rs
@@ -4,7 +4,7 @@ use std::f32::consts::PI;
 
 use crate::{
     complex::Complex32,
-    fft::{DFT, create_fft, dft::NaiveDFT, prime_factors, windows},
+    fft::{DFT, FFTDirection, create_fft, dft::NaiveDFT, prime_factors, windows},
 };
 
 pub struct MixedRadixFFT {
@@ -23,23 +23,20 @@ pub struct MixedRadixFFT {
 }
 
 impl DFT for MixedRadixFFT {
-    fn create(size: usize) -> Self {
+    fn create(size: usize, direction: FFTDirection) -> Self {
         let q = decide_radix_factor(size);
         let p = size / q;
-        println!("{} {}", p, 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 = create_fft(q, direction);
+        let pfft = create_fft(p, direction);
 
-        let qfft = Box::new(NaiveDFT::create(q));
-        let pfft = Box::new(NaiveDFT::create(p));
+        //let qfft = Box::new(NaiveDFT::create(q, direction));
+        //let pfft = Box::new(NaiveDFT::create(p, direction));
 
         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(size),
+            twiddle_factors: compute_twiddle_factors(size, direction),
             qfft,
             pfft,
 
@@ -92,11 +89,11 @@ impl DFT for MixedRadixFFT {
     }
 }
 
-fn compute_twiddle_factors(size: usize) -> Box<[Complex32]> {
+fn compute_twiddle_factors(size: usize, direction: FFTDirection) -> Box<[Complex32]> {
     let mut factors = vec![Complex32::zero(); size].into_boxed_slice();
 
     for i in 0..size {
-        factors[i] = Complex32::cexp(-2. * PI * i as f32 / (size as f32));
+        factors[i] = Complex32::cexp(-2. * direction.sign() * PI * i as f32 / (size as f32));
     }
     factors
 }
diff --git a/src/fft/rader.rs b/src/fft/rader.rs
index 9e526f9..61f080e 100644
--- a/src/fft/rader.rs
+++ b/src/fft/rader.rs
@@ -5,7 +5,7 @@ use std::{f32::consts::PI, ops::Deref};
 use super::mixed_radix;
 use crate::{
     complex::Complex32,
-    fft::{DFT, create_fft, dft::NaiveDFT, is_prime, windows},
+    fft::{DFT, FFTDirection, create_fft, dft::NaiveDFT, is_prime, windows},
 };
 
 pub struct RaderFFT {
@@ -14,13 +14,14 @@ pub struct RaderFFT {
 
     permutations: Box<[usize]>,
     convolution_op: Box<[Complex32]>,
-    conv_fft: Box<NaiveDFT>,
+    inv_fft: Box<dyn DFT>,
+    conv_fft: Box<dyn DFT>,
 
     size: usize,
 }
 
 impl DFT for RaderFFT {
-    fn create(size: usize) -> Self
+    fn create(size: usize, direction: FFTDirection) -> Self
     where
         Self: Sized,
     {
@@ -28,14 +29,16 @@ impl DFT for RaderFFT {
         let g = compute_prime_primitive_root(size);
         let permutations: Box<[usize]> = (0..(size - 1)).map(|i| exp_mod(g, i + 1, size)).collect();
 
-        let mut conv_fft = Box::new(NaiveDFT::create(size - 1));
+        let mut conv_fft = create_fft(size - 1, FFTDirection::Forward);
         //let mut conv_fft = create_fft(size - 1);
         conv_fft
             .get_input()
             .iter_mut()
             .enumerate()
             .for_each(|(i, x)| {
-                *x = Complex32::cexp(-2. * PI * (permutations[i] as f32) / (size as f32))
+                *x = Complex32::cexp(
+                    -2. * direction.sign() * PI * (permutations[i] as f32) / (size as f32),
+                )
             });
         conv_fft.execute(windows::rectanguar);
 
@@ -45,6 +48,7 @@ impl DFT for RaderFFT {
 
             permutations,
             convolution_op: conv_fft.get_output().iter().copied().collect(),
+            inv_fft: create_fft(size - 1, FFTDirection::Inverse),
             conv_fft,
 
             size,
@@ -61,21 +65,20 @@ impl DFT for RaderFFT {
         self.conv_fft.execute(windows::rectanguar);
 
         for i in 0..(self.size - 1) {
-            self.output_buffer[i] =
-                self.conv_fft.get_output()[i] * self.convolution_op[i];
+            self.output_buffer[i] = self.conv_fft.get_output()[i] * self.convolution_op[i];
         }
 
         for i in 0..(self.size - 1) {
             //self.conv_fft.get_input()[i] = self.output_buffer[i];
-            self.conv_fft.get_input()[i] = -self.output_buffer[self.size - 1 - i - 1];
+            self.inv_fft.get_input()[i] = self.output_buffer[i];
         }
 
-        self.conv_fft.execute(windows::rectanguar);
+        self.inv_fft.execute(windows::rectanguar);
 
         for i in 0..(self.size - 1) {
             let k = self.permutations[i];
             self.output_buffer[k] =
-                (self.conv_fft.get_output()[i] / (self.size - 1) as f32) + self.input_buffer[0];
+                (self.inv_fft.get_output()[i] / (self.size - 1) as f32) + self.input_buffer[0];
         }
 
         self.output_buffer[0] = self.input_buffer.iter().copied().sum();
diff --git a/src/fft/rader2.rs b/src/fft/rader2.rs
index 77f36e4..6d14b6e 100644
--- a/src/fft/rader2.rs
+++ b/src/fft/rader2.rs
@@ -1,11 +1,12 @@
 // Implementation of raders's fft for prime sized ffts
 
+/*
 use std::{f32::consts::PI, ops::Deref};
 
 use super::mixed_radix;
 use crate::{
     complex::Complex32,
-    fft::{DFT, create_fft, dft::NaiveDFT, is_prime, windows},
+    fft::{DFT, FFTDirection, create_fft, dft::NaiveDFT, is_prime, windows},
 };
 
 pub struct Rader2FFT {
@@ -22,7 +23,7 @@ pub struct Rader2FFT {
 }
 
 impl DFT for Rader2FFT {
-    fn create(size: usize) -> Self
+    fn create(size: usize, direction: FFTDirection) -> Self
     where
         Self: Sized,
     {
@@ -165,3 +166,4 @@ pub fn next_pow2(mut n: usize) -> usize {
     }
     1 << pow
 }
+*/
diff --git a/src/fft/radix2.rs b/src/fft/radix2.rs
index 94c8334..f01f992 100644
--- a/src/fft/radix2.rs
+++ b/src/fft/radix2.rs
@@ -1,19 +1,20 @@
 // Cooley-Tukey algorithm
 
 use crate::complex::Complex32;
-use crate::fft::DFT;
+use crate::fft::{DFT, FFTDirection};
 use std::f32::consts::PI;
 
 pub struct Radix2FFT {
     output_buffer: Box<[Complex32]>,
     input_buffer: Box<[Complex32]>,
+    direction: FFTDirection,
     size: usize,
     length: usize,
 }
 
 impl DFT for Radix2FFT {
     // Size as power of two
-    fn create(size: usize) -> Self {
+    fn create(size: usize, direction: FFTDirection) -> Self {
         if !is_power_of_two(size) {
             panic!("Tried to create a Radix2 FFT with a non power of two size.");
         }
@@ -22,6 +23,7 @@ impl DFT for Radix2FFT {
             output_buffer: vec![Complex32::zero(); size].into_boxed_slice(),
             input_buffer: vec![Complex32::zero(); size].into_boxed_slice(),
             size: size.ilog2() as usize,
+            direction,
             length: size,
         }
     }
@@ -41,7 +43,7 @@ impl DFT for Radix2FFT {
                     // Compute current polynomial at each unit root
                     let a = self.output_buffer[s + i];
                     let b = self.output_buffer[s + i + mid_point];
-                    let angle = -2. * PI * (i as f32) / (pol_length as f32);
+                    let angle = -2. * self.direction.sign() * PI * (i as f32) / (pol_length as f32);
                     let phasor = Complex32::cexp(angle);
                     self.output_buffer[i + s] = a + phasor * b;
                     self.output_buffer[i + s + mid_point] = a - phasor * b;
diff --git a/src/main.rs b/src/main.rs
index bac3f60..b83667c 100644
--- a/src/main.rs
+++ b/src/main.rs
@@ -1,5 +1,8 @@
 use std::{
-    f32::consts::PI, fs::File, io::{Read, Write}, ops::{Add, Div, Mul, Sub}
+    f32::consts::PI,
+    fs::File,
+    io::{Read, Write},
+    ops::{Add, Div, Mul, Sub},
 };
 
 mod bfsk;
@@ -15,12 +18,11 @@ use nco::Nco;
 use plotters::prelude::*;
 
 use crate::fft::{
-    DFT, create_fft,
+    DFT, FFTDirection, create_fft,
     dft::NaiveDFT,
     mixed_radix::MixedRadixFFT,
     prime_factors,
     rader::{RaderFFT, compute_prime_primitive_root, exp_mod},
-    rader2::{Rader2FFT, next_pow2},
     radix2::Radix2FFT,
     windows,
 };
@@ -33,135 +35,7 @@ where
     ((input - in_min.clone()) / (in_max - in_min)) * (out_max - out_min.clone()) + out_min
 }
 
-fn euclid_mod(a: f32, m: f32) -> f32 {
-    let r = a % m;
-    if r < 0.0 { r + m } else { r }
-}
-
-struct QuickLCG(i32);
-impl QuickLCG
-{
-    pub fn seed(val: i32) -> QuickLCG
-    {
-        QuickLCG(val % 10)
-    }
-
-    pub fn next(&mut self) -> i32
-    {
-        self.0 = self.0.overflowing_mul(9321).0.overflowing_add(5672).0 % 10;
-        self.0
-    }
-}
-
-fn main() {
-    //test();
-    simple_test();
-}
-
-fn simple_test()
-{
-    let sample_count = 7;
-    let mut dft = NaiveDFT::create(sample_count);
-    let mut fft = RaderFFT::create(sample_count);
-
-    let mut rand = QuickLCG::seed(2981237);
-    for (a, b) in dft.get_input().iter_mut().zip(fft.get_input().iter_mut())
-    {
-        let re = (rand.next() - 5) as f32;
-        let im = (rand.next() - 5) as f32;
-        *a = Complex32::new(re, im);
-        *b = Complex32::new(re, im);
-    }
-
-    dft.execute(windows::rectanguar);
-    fft.execute(windows::rectanguar);
-
-    
-    for (a, b) in dft.get_output().iter().zip(fft.get_output().iter())
-    {
-        println!("{:0<7.3} {:0<7.3} \t {:0<7.3} {:0<7.3}", a.re, a.im, b.re, b.im);
-    }
-}
-
-fn test() {
-    let freq1 = 2. * PI / 4.0;
-    let freq2 = 2. * PI / 8.0;
-
-    //let sample_count = 71*71;
-    //let sample_count = 71 * 71;
-    //let sample_count = 4804;
-    let sample_count = 4809;
-
-    let mut o1 = Nco::new(freq1);
-    let mut o2 = Nco::new(freq2);
-
-    //let mut fft = ::create(sample_count);
-    //let mut dft = MixedRadixFFT::create(sample_count);
-    let mut fft = create_fft(sample_count);
-    //let mut dft = create_fft(sample_count);
-    for x in fft.get_input().iter_mut() {
-        *x = o1.cexp() + o2.cexp();
-        //*y = *x;
-
-        o1.step();
-        o2.step();
-    }
-
-    fft.execute(windows::rectanguar);
-    //dft.execute(windows::rectanguar);
-
-    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), -PI..PI)
-        .unwrap();
-
-    //chart.configure_mesh().draw()?;
-
-    /*
-    chart
-        .draw_series(LineSeries::new(
-            (0..sample_count)
-                .zip(dft.get_output().iter())
-                .map(|(x, y)| (x as f32, (*y).arg() )),
-            &RED,
-        ))
-        .unwrap()
-        .legend(|(x, y)| PathElement::new(vec![(x, y), (x + 20, y)], RED));
-    */
-
-    chart
-        .draw_series(LineSeries::new(
-            (0..sample_count)
-                .zip(fft.get_output().iter())
-                .map(|(x, y)| (x as f32, (*y).mag() / sample_count as f32)),
-            &BLUE,
-        ))
-        .unwrap()
-        .legend(|(x, y)| PathElement::new(vec![(x, y), (x + 20, y)], BLUE));
-
-    chart
-        .configure_series_labels()
-        .background_style(&WHITE.mix(0.8))
-        .border_style(&BLACK)
-        .draw()
-        .unwrap();
-
-    root.present().unwrap();
-
-    let mut f = File::create("out.csv").unwrap();
-    for x in fft.get_output().iter()
-    {
-        f.write_all(
-            format!("{},\n", x.mag() / sample_count as f32).to_string().as_bytes()
-        ).unwrap();
-    }
-
-}
+fn main() {}
 
 fn modulate() {
     let sample_rate = 44100;