ldpc rust

Code/ldpc/src/code.rs

@@ -0,0 +1,23 @@
+use crate::matrix::MatrixGF2;
+use crate::tanner::TannerGraph;
+
+pub struct LdpcCode {
+    pub n: usize, // Nombre de colonnes
+    pub k: usize, // Longueur du message
+    pub h_matrix: MatrixGF2,
+    pub tanner_graph: TannerGraph,
+}
+
+impl LdpcCode {
+    pub fn new(h_matrix: MatrixGF2) -> Self {
+        let n = h_matrix.cols;
+        let k = n - h_matrix.rows;
+        let tanner_graph = TannerGraph::from_matrix(&h_matrix);
+        Self {
+            n,
+            k,
+            h_matrix,
+            tanner_graph,
+        }
+    }
+}

Code/ldpc/src/construction.rs

@@ -0,0 +1 @@
+pub mod random;

Code/ldpc/src/construction/random.rs

@@ -0,0 +1,34 @@
+use crate::matrix::MatrixGF2;
+use rand::RngExt;
+
+pub fn generate_random_h(rows: usize, cols: usize, wc: usize, wr: usize) -> MatrixGF2 {
+    assert_eq!(rows * wr, cols * wc, "Erreur");
+    loop {
+        let mut data = vec![0; rows * cols];
+        let mut row_w = vec![0; rows];
+        let mut rng = rand::rng();
+        let mut success = true;
+
+        for c in 0..cols {
+            let mut ones_placed = 0;
+            let mut avail_rows: Vec<usize> = (0..rows).filter(|&r| row_w[r] < wr).collect();
+
+            if avail_rows.len() < wc {
+                // Les problèmes...
+                success = false;
+                break;
+            }
+
+            while ones_placed < wc {
+                let id = rng.random_range(0..avail_rows.len());
+                let r = avail_rows.remove(id);
+                data[r * cols + c] = 1;
+                row_w[r] += 1;
+                ones_placed += 1;
+            }
+        }
+        if success {
+            return MatrixGF2::new(rows, cols, data);
+        }
+    }
+}

Code/ldpc/src/decoder.rs

@@ -0,0 +1 @@
+pub mod bit_flip;

Code/ldpc/src/decoder/bit_flip.rs

@@ -0,0 +1,16 @@
+use crate::code::LdpcCode;
+
+pub struct BitFlipDecoder<'a> {
+    code: &'a LdpcCode,
+}
+
+impl<'a> BitFlipDecoder<'a> {
+    pub fn new(code: &'a LdpcCode) -> Self {
+        Self { code }
+    }
+
+    pub fn decode(&self, received: &[u8], max_iter: usize) -> Option<Vec<u8>> {
+        let graph = &self.code.tanner_graph;
+        unimplemented!("Algo de bit-flipp");
+    }
+}

Code/ldpc/src/encoder.rs

@@ -0,0 +1 @@
+pub mod dense;

Code/ldpc/src/encoder/dense.rs

@@ -0,0 +1,59 @@
+use crate::code::{self, LdpcCode};
+use crate::matrix::MatrixGF2;
+
+pub struct DenseEncoder {
+    pub g_matrix: MatrixGF2,
+    pub h_reduced: MatrixGF2, // A enlever c'est juste pour l'affichage...
+    pub k: usize,
+    pub n: usize,
+    pub col_swaps: Vec<(usize, usize)>,
+}
+
+impl DenseEncoder {
+    pub fn new(code: &LdpcCode) -> Self {
+        let mut h_reduced = code.h_matrix.clone();
+        let (rank, col_swaps) = h_reduced.gauss_jordan_swap_cols();
+
+        let n = h_reduced.cols;
+        let k = n - rank;
+
+        let mut g_data = vec![0; k * n];
+
+        for r in 0..k {
+            for c in 0..rank {
+                g_data[r * n + c] = h_reduced.get(c, rank + r);
+            }
+        }
+        for i in 0..k {
+            g_data[i * n + (rank + i)] = 1;
+        }
+        Self {
+            g_matrix: MatrixGF2::new(k, n, g_data),
+            h_reduced,
+            k,
+            n,
+            col_swaps,
+        }
+    }
+
+    pub fn encode(&self, message: &[u8]) -> Vec<u8> {
+        assert_eq!(message.len(), self.k, "Taille du message non valide");
+        let mut codeword = vec![0; self.n];
+
+        // s = u * G
+        for c in 0..self.n {
+            let mut sum = 0;
+            for r in 0..self.k {
+                sum ^= message[r] & self.g_matrix.get(r, c);
+            }
+            codeword[c] = sum;
+        }
+
+        // Reverse les changement de colonnes
+        for &(c1, c2) in self.col_swaps.iter().rev() {
+            codeword.swap(c1, c2);
+        }
+
+        codeword
+    }
+}

Code/ldpc/src/main.rs

@@ -0,0 +1,66 @@
+mod analysis;
+mod code;
+mod construction;
+mod decoder;
+mod encoder;
+mod matrix;
+mod tanner;
+
+use code::LdpcCode;
+use construction::random::generate_random_h;
+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!("\n Codeword s : {:?}", codeword);
+
+    let mut is_valid = true;
+    for r in 0..m {
+        let mut sum = 0;
+        for c in 0..n {
+            sum ^= codeword[c] & h_matrix.get(r, c);
+        }
+        if sum != 0 {
+            is_valid = false;
+            break;
+        }
+    }
+
+    if is_valid {
+        println!("\nVrai");
+    } else {
+        println!("\nFaux");
+    }
+
+    // println!("\nGauss-Jordan sur H :");
+    // h_matrix.gauss_jordan();
+    // h_matrix.print();
+}

Code/ldpc/src/matrix.rs

@@ -0,0 +1,133 @@
+#[derive(Clone, Debug)]
+pub struct MatrixGF2 {
+    pub rows: usize,
+    pub cols: usize,
+    pub data: Vec<u8>,
+}
+
+impl MatrixGF2 {
+    pub fn new(rows: usize, cols: usize, data: Vec<u8>) -> Self {
+        assert_eq!(data.len(), rows * cols, "Taille incorrecte.");
+        Self { rows, cols, data }
+    }
+
+    pub fn get(&self, i: usize, j: usize) -> u8 {
+        self.data[i * self.cols + j]
+    }
+
+    pub fn set(&mut self, i: usize, j: usize, val: u8) {
+        self.data[i * self.cols + j] = val;
+    }
+
+    pub fn print(&self) {
+        for i in 0..self.rows {
+            let start = i * self.cols;
+            let end = start + self.cols;
+            println!("{:?}", &self.data[start..end]);
+        }
+    }
+
+    pub fn swap_rows(&mut self, r1: usize, r2: usize) {
+        if r1 == r2 {
+            return;
+        }
+        for c in 0..self.cols {
+            let v1 = self.get(r1, c);
+            let v2 = self.get(r2, c);
+            self.set(r1, c, v2);
+            self.set(r2, c, v1);
+        }
+    }
+
+    pub fn swap_cols(&mut self, c1: usize, c2: usize) {
+        if c1 == c2 {
+            return;
+        }
+        for r in 0..self.rows {
+            let v1 = self.get(r, c1);
+            let v2 = self.get(r, c2);
+            self.set(r, c1, v2);
+            self.set(r, c2, v1);
+        }
+    }
+
+    pub fn xor_rows(&mut self, src: usize, dest: usize) {
+        for c in 0..self.cols {
+            let v_src = self.get(src, c);
+            let v_dest = self.get(dest, c);
+            self.set(dest, c, v_src ^ v_dest);
+        }
+    }
+
+    pub fn gauss_jordan(&mut self) {
+        let mut l = 0;
+        for r in 0..self.rows {
+            if l >= self.cols {
+                return;
+            }
+            let mut i = r;
+            while self.get(i, l) == 0 {
+                i += 1;
+                if i == self.rows {
+                    i = r;
+                    l += 1;
+                    if l == self.cols {
+                        return;
+                    }
+                }
+            }
+            self.swap_rows(i, r);
+            for i in 0..self.rows {
+                if i != r && self.get(i, l) == 1 {
+                    self.xor_rows(r, i);
+                }
+            }
+            l += 1;
+        }
+    }
+
+    pub fn gauss_jordan_swap_cols(&mut self) -> (usize, Vec<(usize, usize)>) {
+        let mut rank = 0;
+        let mut col_swaps = Vec::new();
+        let rows = self.rows;
+        let cols = self.cols;
+
+        for c in 0..cols {
+            if rank >= rows {
+                break;
+            }
+            let mut pivot_r = rank;
+            while pivot_r < rows && self.get(pivot_r, c) == 0 {
+                pivot_r += 1;
+            }
+            if pivot_r == rows {
+                let mut found_swap = false;
+                for c2 in (c + 1)..cols {
+                    let mut pr2 = rank;
+                    while pr2 < rows && self.get(pr2, c2) == 0 {
+                        pr2 += 1;
+                    }
+                    if pr2 < rows {
+                        self.swap_cols(c, c2);
+                        col_swaps.push((c, c2));
+                        pivot_r = pr2;
+                        found_swap = true;
+                        break;
+                    }
+                }
+                if !found_swap {
+                    break;
+                }
+            }
+            self.swap_rows(rank, pivot_r);
+
+            for i in 0..rows {
+                if i != rank && self.get(i, c) == 1 {
+                    self.xor_rows(rank, i);
+                }
+            }
+            rank += 1;
+        }
+        (rank, col_swaps)
+    }
+}

Code/ldpc/src/tanner.rs

@@ -0,0 +1,24 @@
+use crate::matrix::MatrixGF2;
+
+#[derive(Debug, Clone)]
+pub struct TannerGraph {
+    pub check: Vec<Vec<usize>>,
+    pub bits: Vec<Vec<usize>>,
+}
+
+impl TannerGraph {
+    pub fn from_matrix(matrix: &MatrixGF2) -> Self {
+        let mut check = vec![vec![]; matrix.rows];
+        let mut bits = vec![vec![]; matrix.cols];
+
+        for i in 0..matrix.rows {
+            for j in 0..matrix.cols {
+                if matrix.get(i, j) == 0 {
+                    check[i].push(j);
+                    bits[j].push(i);
+                }
+            }
+        }
+        Self { check, bits }
+    }
+}

Code/ldpc/src/target/.rustc_info.json

@@ -0,0 +1 @@
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Code/ldpc/src/target/CACHEDIR.TAG

@@ -0,0 +1,3 @@
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+# For information about cache directory tags see https://bford.info/cachedir/

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