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4 Commits

Author SHA1 Message Date
2096cff73c clear main 2026-02-13 12:12:30 +01:00
22db186237 simulation séparé du main 2026-02-13 12:12:14 +01:00
a7ce4a1a17 channel add noise 2026-02-13 11:44:44 +01:00
a6b2690721 channel add 2026-02-13 11:21:44 +01:00
3 changed files with 118 additions and 64 deletions

32
Code/ldpc/src/channel.rs Normal file
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@ -0,0 +1,32 @@
use std::usize;
use rand::{Rng, RngExt};
pub struct Channel {
pub error_prob: f64,
}
impl Channel {
pub fn new(error_prob: f64) -> Self {
assert!(error_prob >= 0.0 && error_prob <= 1.0, "0 <= p <= 1");
Self { error_prob }
}
pub fn add_noise(&self, input: &[u8]) -> Vec<u8> {
let mut rng = rand::rng();
let mut out = input.to_vec();
for b in out.iter_mut() {
let r_v: f64 = rng.random_range(0.0..1.0);
if r_v < self.error_prob {
*b ^= 1;
}
}
out
}
pub fn count_errors(original: &[u8], other: &[u8]) -> usize {
assert_eq!(original.len(), other.len(), "Slice pas de la même taille");
original.iter().zip(other).filter(|(a, b)| a != b).count()
}
}

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@ -1,74 +1,13 @@
mod analysis;
mod channel;
mod code;
mod construction;
mod decoder;
mod encoder;
mod matrix;
mod simulation;
mod tanner;
use code::LdpcCode;
use construction::random::generate_random_h;
use decoder::bit_flip::BitFlipDecoder;
use encoder::dense::DenseEncoder;
fn main() {
// TODO : Changer la logique pour trouver k => calculer n selon la longueur du message k (en
// rapport des poids) n = (k * w_r) / (w_r - w_c)
println!("LDPC\n");
let n = 12;
let m = 6;
let wc = 2;
let wr = 4;
let mut h_matrix = generate_random_h(m, n, wc, wr);
println!("H aléatoire {m}x{n} :");
h_matrix.print();
let ldpc = LdpcCode::new(h_matrix.clone());
println!("\nLDPC instancié");
println!("Extraction de G");
let encoder = DenseEncoder::new(&ldpc);
println!("\n-> Matrcie H après Gauss-Jordan avec inversion de colonne de la forme [I | A]");
encoder.h_reduced.print();
println!("G {}x{}", encoder.k, encoder.n);
encoder.g_matrix.print();
let message = vec![1; encoder.k];
let codeword = encoder.encode(&message);
println!("\nMessage u : {:?}", message);
println!("\nCodeword s : {:?}", codeword);
let is_valid = (0..m).all(|r| {
let sum = codeword
.iter()
.enumerate()
.fold(0, |acc, (c, &bit)| acc ^ (bit & h_matrix.get(r, c)));
sum == 0
});
println!("\n{}", if is_valid { "Vrai" } else { "Faux" });
println!("\nCorrection (bit-flipping)");
let decoder = BitFlipDecoder::new(&ldpc);
let max_iter = 50;
let receiver_codeword = codeword.clone();
match decoder.decode(&receiver_codeword, max_iter) {
Some(corrected_codeword) => {
if corrected_codeword == codeword {
println!("Code reconstrui");
} else {
println!("Convergence mais mauvais codeword")
}
println!("Message original : {:?}", codeword);
println!("Message original : {:?}", corrected_codeword);
}
None => println!("Pas de convergence..."),
}
simulation::run_simulation(6, 2, 4, 0.1);
}

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@ -0,0 +1,83 @@
use core::panic::PanicMessage;
use std::sync::mpsc::Receiver;
use crate::channel::Channel;
use crate::code::{self, LdpcCode};
use crate::construction::random::{generate_random_h, generate_random_h_for_k};
use crate::decoder::bit_flip::BitFlipDecoder;
use crate::encoder::dense::DenseEncoder;
use rand::{Rng, RngExt};
pub fn run_simulation(k: usize, wc: usize, wr: usize, error_prob: f64) {
println!(
"Simulation LDPC : k = {} bits, wc = {}, wr = {}, p = {:.2}",
k, wc, wr, error_prob
);
println!("Construction");
let h_matrix = generate_random_h_for_k(k, wc, wr);
let ldpc = LdpcCode::new(h_matrix);
let encoder = DenseEncoder::new(&ldpc);
if encoder.k != k {
println!("Erreur: la matrice donne k = {} != {}", encoder.k, k);
}
println!(
" -> Code généré : n = {}, k = {}, k/n = {}",
encoder.n,
encoder.k,
(encoder.k as f64 / encoder.n as f64)
);
println!("Encodage");
let mut rng = rand::rng();
let message: Vec<u8> = (0..k).map(|_| rng.random_range(0..2)).collect();
let codeword = encoder.encode(&message);
println!(" -> Message u ({:02} bits) : {:?}", k, message);
println!(" -> Codeword s ({:02} bits) : {:?}", encoder.n, codeword);
println!("\nCanal bruité (p = {})", error_prob);
let channel = Channel::new(error_prob);
let received = channel.add_noise(&codeword);
let nb_errors = Channel::count_errors(&codeword, &received);
if nb_errors == 0 {
println!(" -> Aucune erreur.")
} else {
println!(" -> {} erreurs !", nb_errors);
println!(" -> Recu r ({:02} bits) : {:?}", received.len(), received);
}
println!("\n Décodage (bit-flipping)");
if nb_errors == 0 {
println!(" -> Pas besoin de correction");
return;
}
let decoder = BitFlipDecoder::new(&ldpc);
let max_iter = 50;
match decoder.decode(&received, max_iter) {
Some(decoded) => {
if decoded == codeword {
println!(" -> Réussite");
} else {
println!(" -> Echec : le decoder a convergé vers un mauvais codeword");
}
}
None => {
println!(
" -> Echec : impossible decorriger après {} itérations",
max_iter
);
}
}
}