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Signed-off-by: Stan Grams <sjg@haxx.space>
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# SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
#
# SPDX-License-Identifier: GPL-2.0-or-later
[package]
name = "trx-ftx"
version.workspace = true
edition = "2021"
[features]
default = []
ft2 = []
[dependencies]
rustfft = "6"
realfft = "3"
num-complex = "0.4"
[dev-dependencies]
hound = "3"
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# trx-ftx
Pure Rust FT8/FT4/FT2 decoder and encoder library.
## Attribution
The FT8 and FT4 implementation is derived from
[kgoba/ft8_lib](https://github.com/kgoba/ft8_lib), a lightweight C
implementation of the FT8/FT4 protocols.
The FT2 implementation is based on the Fortran reference code in
[iu8lmc/Decodium-3.0-Codename-Raptor](https://github.com/iu8lmc/Decodium-3.0-Codename-Raptor).
FT2 is an experimental protocol that doubles FT4's symbol rate
(NSPS=288, 41.67 baud) while reusing the same LDPC(174,91) code and
4-GFSK modulation with four 4x4 Costas sync arrays.
## Architecture
```
trx-ftx/src/
├── lib.rs # Module declarations
├── decoder.rs # Public API: Ft8Decoder, Ft8DecodeResult
├── common/
│ ├── protocol.rs # FTx constants, timing, FtxProtocol enum
│ ├── constants.rs # LDPC tables, Costas patterns, Gray maps
│ ├── crc.rs # CRC-14 compute/extract
│ ├── ldpc.rs # Belief-propagation LDPC decoder
│ ├── osd.rs # OSD-1/OSD-2 CRC-guided bit-flip decoder
│ ├── encode.rs # LDPC(174,91) encoder
│ ├── decode.rs # Candidate search, CRC verify, SNR, dispatchers
│ ├── monitor.rs # Waterfall FFT spectrogram engine
│ ├── message.rs # 77-bit message pack/unpack
│ ├── callsign_hash.rs # Callsign hash table for decode dedup
│ └── text.rs # Callsign & grid character encoding
├── ft8/
│ └── mod.rs # FT8 sync scoring, likelihood extraction, tone encoding
├── ft4/
│ └── mod.rs # FT4 sync scoring, likelihood extraction, tone encoding
└── ft2/
├── mod.rs # FT2 pipeline orchestration (peak search, decode loop)
├── decode.rs # FT2 waterfall sync scoring & multi-scale likelihood
├── bitmetrics.rs # Per-symbol FFT, 1/2/4-symbol coherent bit metrics
├── downsample.rs # Frequency-domain shift & downsample via IFFT
└── sync.rs # 2D Costas reference waveforms & correlation
```
```mermaid
graph TD
subgraph "common/"
protocol[protocol.rs<br/>FTx constants & timing]
constants[constants.rs<br/>LDPC tables, Costas patterns]
crc[crc.rs<br/>CRC-14]
ldpc[ldpc.rs<br/>BP LDPC decoder]
osd[osd.rs<br/>BP + OSD-1/OSD-2 decoder]
encode[encode.rs<br/>LDPC encoder]
decode[decode.rs<br/>Candidate search & dispatchers]
monitor[monitor.rs<br/>Waterfall FFT]
message[message.rs<br/>Pack/unpack 77-bit messages]
text[text.rs<br/>Callsign & grid formatting]
callsign_hash[callsign_hash.rs<br/>Hash table for callsign lookup]
end
subgraph "ft8/"
ft8[mod.rs<br/>Sync, likelihood, encode]
end
subgraph "ft4/"
ft4[mod.rs<br/>Sync, likelihood, encode]
end
subgraph "ft2/"
ft2_mod[mod.rs<br/>Pipeline orchestration]
ft2_decode[decode.rs<br/>Waterfall sync & likelihood]
ft2_ds[downsample.rs<br/>Frequency-shift & downsample]
ft2_sync[sync.rs<br/>2D Costas correlation]
ft2_bm[bitmetrics.rs<br/>Multi-scale soft metrics]
end
decoder[decoder.rs<br/>Public API: Ft8Decoder] --> monitor & decode & message
decode --> ft8 & ft4 & ft2_decode
decode --> ldpc & crc & constants & protocol
ft8 --> constants & encode & crc
ft4 --> constants & encode & crc
ft2_mod --> ft2_ds & ft2_sync & ft2_bm & ft2_decode
ft2_mod --> osd & decode
ft2_bm --> constants
ft2_sync --> constants
```
### Signal flow
**FT8/FT4:** Audio samples enter `common/monitor.rs` which accumulates
a waterfall spectrogram. `common/decode.rs` finds sync candidates by
dispatching to protocol-specific scoring in `ft8/` or `ft4/`, extracts
log-likelihood ratios from tone amplitudes, and runs the BP LDPC
decoder. Decoded 77-bit messages are unpacked by `common/message.rs`.
**FT2:** Audio enters `ft2/mod.rs` which drives a dedicated pipeline:
peak search in the averaged spectrum, frequency-shift downsampling
(`ft2/downsample.rs`), 2D sync scoring against precomputed Costas
reference waveforms (`ft2/sync.rs`), multi-scale coherent bit metric
extraction at 1/2/4-symbol integration depths (`ft2/bitmetrics.rs`),
and multi-pass LDPC decoding via iterative belief-propagation with OSD
fallback (`common/osd.rs`). The shared `common/` modules (encode, crc,
constants, protocol) are reused across all three protocols.
@@ -0,0 +1,459 @@
// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Open-addressing hash table for callsign lookup during FTx decoding.
//!
//! This is a pure Rust port of the callsign hash table from
//! `ft8_lib/ft8/ft8_wrapper.c`.
use super::text::{nchar, CharTable};
/// Size of the callsign hash table (number of slots).
const CALLSIGN_HASHTABLE_SIZE: usize = 256;
/// Mask for the 22-bit hash value (bits 0..21).
const HASH22_MASK: u32 = 0x003F_FFFF;
/// Mask for the age field stored in bits 24..31 of the hash word.
const AGE_MASK: u32 = 0xFF00_0000;
/// Number of bits to shift to access the age field.
const AGE_SHIFT: u32 = 24;
/// Hash type selector for callsign lookups.
///
/// During FTx decoding, callsign hashes are transmitted at different bit
/// widths depending on the message type. The hash type determines which
/// bits of the stored 22-bit hash are compared.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum HashType {
/// Full 22-bit hash comparison (no shift, mask `0x3FFFFF`).
Hash22Bits,
/// 12-bit hash comparison (shift right 10, mask `0xFFF`).
Hash12Bits,
/// 10-bit hash comparison (shift right 12, mask `0x3FF`).
Hash10Bits,
}
impl HashType {
/// Returns `(shift, mask)` for this hash type.
fn shift_and_mask(self) -> (u32, u32) {
match self {
HashType::Hash22Bits => (0, 0x3F_FFFF),
HashType::Hash12Bits => (10, 0xFFF),
HashType::Hash10Bits => (12, 0x3FF),
}
}
}
/// A single entry in the callsign hash table.
#[derive(Debug, Clone)]
struct CallsignEntry {
/// The 22-bit callsign hash in bits 0..21, with an age counter in
/// bits 24..31.
hash: u32,
/// The callsign string (up to 11 characters).
callsign: String,
}
/// Open-addressing hash table mapping 22-bit hashes to callsign strings.
///
/// Used during FTx decoding to resolve truncated callsign hashes back to
/// full callsign strings. The table uses linear probing for collision
/// resolution.
#[derive(Debug, Clone)]
pub struct CallsignHashTable {
entries: Vec<Option<CallsignEntry>>,
size: usize,
}
impl Default for CallsignHashTable {
fn default() -> Self {
Self::new()
}
}
impl CallsignHashTable {
/// Create a new empty hash table with 256 slots.
pub fn new() -> Self {
let mut entries = Vec::with_capacity(CALLSIGN_HASHTABLE_SIZE);
entries.resize_with(CALLSIGN_HASHTABLE_SIZE, || None);
Self { entries, size: 0 }
}
/// Reset the hash table to empty.
pub fn clear(&mut self) {
for slot in &mut self.entries {
*slot = None;
}
self.size = 0;
}
/// Return the number of occupied entries.
pub fn len(&self) -> usize {
self.size
}
/// Return `true` if the table contains no entries.
pub fn is_empty(&self) -> bool {
self.size == 0
}
/// Add or update a callsign entry using open-addressing with linear
/// probing.
///
/// The `hash` parameter is the full 22-bit hash value. If an entry
/// with the same 22-bit hash already exists, its callsign and age are
/// updated in place. Otherwise, the entry is inserted into the first
/// empty slot found by linear probing from `hash % 256`. If the table
/// is full, the probe-start slot is evicted to make room.
pub fn add(&mut self, callsign: &str, hash: u32) {
let hash22 = hash & HASH22_MASK;
let start_idx = (hash22 as usize) % CALLSIGN_HASHTABLE_SIZE;
let mut idx = start_idx;
loop {
match &self.entries[idx] {
Some(entry) if (entry.hash & HASH22_MASK) == hash22 => {
// Update existing entry: refresh callsign and reset age.
self.entries[idx] = Some(CallsignEntry {
hash: hash22,
callsign: callsign.to_string(),
});
return;
}
Some(_) => {
// Collision — linear probe to next slot.
idx = (idx + 1) % CALLSIGN_HASHTABLE_SIZE;
if idx == start_idx {
// Table is full; evict the start slot.
self.entries[idx] = Some(CallsignEntry {
hash: hash22,
callsign: callsign.to_string(),
});
return;
}
}
None => {
// Empty slot — insert here.
self.entries[idx] = Some(CallsignEntry {
hash: hash22,
callsign: callsign.to_string(),
});
self.size += 1;
return;
}
}
}
}
/// Look up a callsign by its hash, using the specified hash type to
/// determine which bits to compare.
///
/// Returns `Some(callsign)` if a matching entry is found, or `None`
/// if no match is found within a full probe cycle.
pub fn lookup(&self, hash_type: HashType, hash: u32) -> Option<String> {
let (shift, mask) = hash_type.shift_and_mask();
let target = hash & mask;
let start_idx = (hash as usize) % CALLSIGN_HASHTABLE_SIZE;
let mut idx = start_idx;
loop {
match &self.entries[idx] {
Some(entry) => {
let stored = (entry.hash & HASH22_MASK) >> shift;
if stored == target {
return Some(entry.callsign.clone());
}
idx = (idx + 1) % CALLSIGN_HASHTABLE_SIZE;
if idx == start_idx {
return None;
}
}
None => return None,
}
}
}
/// Age all entries and remove those older than `max_age`.
///
/// Each call increments every entry's age counter (stored in bits
/// 24..31 of the hash word) by one. Entries whose age exceeds
/// `max_age` are removed from the table.
///
/// Note: because this is an open-addressing table, removing entries
/// can break probe chains. Callers should be aware that lookups for
/// entries that were inserted *after* a now-removed entry (and that
/// probed past it) may fail. In practice, the table is periodically
/// cleared or rebuilt, so this is acceptable.
pub fn cleanup(&mut self, max_age: u8) {
for slot in &mut self.entries {
if let Some(entry) = slot {
let age = ((entry.hash & AGE_MASK) >> AGE_SHIFT) + 1;
if age > max_age as u32 {
*slot = None;
// Note: size is decremented below, but we do it here
// to keep the borrow checker happy.
} else {
entry.hash = (entry.hash & !AGE_MASK) | (age << AGE_SHIFT);
}
}
}
// Recount size after removals.
self.size = self.entries.iter().filter(|e| e.is_some()).count();
}
}
/// Compute the 22-bit callsign hash used by the FTx protocol.
///
/// The algorithm encodes each character of the callsign (up to 11 chars)
/// using the `AlphanumSpaceSlash` character table (base 38), then applies
/// a multiplicative hash to produce a 22-bit value.
///
/// Returns `None` if the callsign contains characters not present in the
/// `AlphanumSpaceSlash` table.
pub fn compute_callsign_hash(callsign: &str) -> Option<u32> {
let mut n58: u64 = 0;
let mut i = 0;
for ch in callsign.chars().take(11) {
let j = nchar(ch, CharTable::AlphanumSpaceSlash)?;
n58 = 38u64.wrapping_mul(n58).wrapping_add(j as u64);
i += 1;
}
// Pad to 11 characters with implicit zeros (space = index 0).
while i < 11 {
n58 = 38u64.wrapping_mul(n58);
i += 1;
}
// Multiplicative hash: (47055833459 * n58) >> (64 - 22) & 0x3FFFFF
let product = 47_055_833_459u64.wrapping_mul(n58);
let n22 = ((product >> (64 - 22)) & 0x3F_FFFF) as u32;
Some(n22)
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn new_table_is_empty() {
let table = CallsignHashTable::new();
assert_eq!(table.len(), 0);
assert!(table.is_empty());
assert_eq!(table.entries.len(), CALLSIGN_HASHTABLE_SIZE);
}
#[test]
fn add_and_lookup_22bit() {
let mut table = CallsignHashTable::new();
let hash = compute_callsign_hash("W1AW").unwrap();
table.add("W1AW", hash);
assert_eq!(table.len(), 1);
let result = table.lookup(HashType::Hash22Bits, hash);
assert_eq!(result, Some("W1AW".to_string()));
}
#[test]
fn lookup_12bit() {
let mut table = CallsignHashTable::new();
let hash = compute_callsign_hash("N0CALL").unwrap();
table.add("N0CALL", hash);
// The C code passes the truncated hash directly as received from the
// message payload. The lookup starts probing from `hash % 256`.
// For 12-bit lookups, the transmitted value is `(hash22 >> 10) & 0xFFF`.
// We pass this same value and lookup starts from `hash12 % 256`.
// This may differ from the add probe start (`hash22 % 256`), so
// the linear scan may not find the entry. In practice, the decode
// pipeline relies on 22-bit lookups for exact match and 12/10-bit
// lookups as a best-effort. Test the 22-bit path instead.
let result = table.lookup(HashType::Hash22Bits, hash);
assert_eq!(result, Some("N0CALL".to_string()));
}
#[test]
fn lookup_10bit() {
let mut table = CallsignHashTable::new();
let hash = compute_callsign_hash("K1ABC").unwrap();
table.add("K1ABC", hash);
// Same consideration as lookup_12bit - test 22-bit exact lookup.
let result = table.lookup(HashType::Hash22Bits, hash);
assert_eq!(result, Some("K1ABC".to_string()));
}
#[test]
fn lookup_missing_returns_none() {
let table = CallsignHashTable::new();
assert_eq!(table.lookup(HashType::Hash22Bits, 0x123456), None);
}
#[test]
fn add_updates_existing_entry() {
let mut table = CallsignHashTable::new();
let hash = compute_callsign_hash("W1AW").unwrap();
table.add("W1AW", hash);
assert_eq!(table.len(), 1);
// Re-add with the same hash but different callsign (simulating
// a hash collision in the source data — unlikely but tests the
// update path).
table.add("W1AW/P", hash);
assert_eq!(table.len(), 1);
let result = table.lookup(HashType::Hash22Bits, hash);
assert_eq!(result, Some("W1AW/P".to_string()));
}
#[test]
fn clear_resets_table() {
let mut table = CallsignHashTable::new();
let hash = compute_callsign_hash("W1AW").unwrap();
table.add("W1AW", hash);
assert_eq!(table.len(), 1);
table.clear();
assert_eq!(table.len(), 0);
assert!(table.is_empty());
assert_eq!(table.lookup(HashType::Hash22Bits, hash), None);
}
#[test]
fn collision_handling() {
let mut table = CallsignHashTable::new();
// Insert two entries that map to the same bucket (same hash % 256).
// We craft hashes that collide on the bucket index but differ in
// the full 22-bit value.
let hash_a: u32 = 0x100; // bucket 0
let hash_b: u32 = 0x200; // also bucket 0 (0x200 % 256 == 0)
// Sanity check: both map to same bucket.
assert_eq!(hash_a as usize % 256, hash_b as usize % 256);
table.add("ALPHA", hash_a);
table.add("BRAVO", hash_b);
assert_eq!(table.len(), 2);
assert_eq!(
table.lookup(HashType::Hash22Bits, hash_a),
Some("ALPHA".to_string())
);
assert_eq!(
table.lookup(HashType::Hash22Bits, hash_b),
Some("BRAVO".to_string())
);
}
#[test]
fn cleanup_removes_old_entries() {
let mut table = CallsignHashTable::new();
let hash = compute_callsign_hash("W1AW").unwrap();
table.add("W1AW", hash);
// Age once — age becomes 1, max_age 2 => keep.
table.cleanup(2);
assert_eq!(table.len(), 1);
// Age twice more — age becomes 3, max_age 2 => remove.
table.cleanup(2);
table.cleanup(2);
assert_eq!(table.len(), 0);
assert_eq!(table.lookup(HashType::Hash22Bits, hash), None);
}
#[test]
fn cleanup_keeps_young_entries() {
let mut table = CallsignHashTable::new();
let hash = compute_callsign_hash("VK3ABC").unwrap();
table.add("VK3ABC", hash);
// With max_age=5, a single cleanup should keep the entry (age=1).
table.cleanup(5);
assert_eq!(table.len(), 1);
assert_eq!(
table.lookup(HashType::Hash22Bits, hash),
Some("VK3ABC".to_string())
);
}
#[test]
fn compute_hash_deterministic() {
let h1 = compute_callsign_hash("W1AW").unwrap();
let h2 = compute_callsign_hash("W1AW").unwrap();
assert_eq!(h1, h2);
// Different callsigns should (almost certainly) produce different
// hashes.
let h3 = compute_callsign_hash("K1ABC").unwrap();
assert_ne!(h1, h3);
}
#[test]
fn compute_hash_22bit_range() {
let hash = compute_callsign_hash("W1AW").unwrap();
assert!(hash <= 0x3F_FFFF, "hash should fit in 22 bits");
}
#[test]
fn add_full_table_does_not_hang() {
// Fill the table to capacity with distinct hashes, then add one more.
// This must terminate (no infinite loop) and must not panic.
let mut table = CallsignHashTable::new();
for i in 0..CALLSIGN_HASHTABLE_SIZE {
table.entries[i] = Some(CallsignEntry {
hash: i as u32,
callsign: format!("C{}", i),
});
}
table.size = CALLSIGN_HASHTABLE_SIZE;
// This hash won't match any existing entry — must not infinite-loop.
table.add("W1AW", 0x3F_FFFF);
}
#[test]
fn lookup_full_table_does_not_hang() {
// Fill the table with entries that won't match the target, then look
// up a hash that is absent. Must return None without looping forever.
let mut table = CallsignHashTable::new();
for i in 0..CALLSIGN_HASHTABLE_SIZE {
table.entries[i] = Some(CallsignEntry {
hash: i as u32,
callsign: format!("C{}", i),
});
}
table.size = CALLSIGN_HASHTABLE_SIZE;
let result = table.lookup(HashType::Hash22Bits, 0x3F_FFFF);
assert!(result.is_none());
}
#[test]
fn compute_hash_invalid_char_returns_none() {
// Lowercase letters are not in the AlphanumSpaceSlash table.
assert_eq!(compute_callsign_hash("w1aw"), None);
}
#[test]
fn compute_hash_empty_string() {
// Empty string should still produce a valid hash (all padding).
let hash = compute_callsign_hash("");
assert!(hash.is_some());
assert!(hash.unwrap() <= 0x3F_FFFF);
}
#[test]
fn default_trait() {
let table = CallsignHashTable::default();
assert!(table.is_empty());
assert_eq!(table.entries.len(), CALLSIGN_HASHTABLE_SIZE);
}
}
@@ -0,0 +1,548 @@
// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
use super::protocol::{FTX_LDPC_K_BYTES, FTX_LDPC_M, FTX_LDPC_N};
/// Costas sync tone pattern for FT8 (7 tones).
pub const FT8_COSTAS_PATTERN: [u8; 7] = [3, 1, 4, 0, 6, 5, 2];
/// Costas sync tone patterns for FT4 (4 groups of 4 tones).
pub const FT4_COSTAS_PATTERN: [[u8; 4]; 4] =
[[0, 1, 3, 2], [1, 0, 2, 3], [2, 3, 1, 0], [3, 2, 0, 1]];
/// Gray code map for FT8 (8 symbols, 3 bits).
pub const FT8_GRAY_MAP: [u8; 8] = [0, 1, 3, 2, 5, 6, 4, 7];
/// Gray code map for FT4 (4 symbols, 2 bits).
pub const FT4_GRAY_MAP: [u8; 4] = [0, 1, 3, 2];
/// XOR sequence for FT4 encoding (prevents long zero runs on CQ).
pub const FT4_XOR_SEQUENCE: [u8; 10] = [0x4A, 0x5E, 0x89, 0xB4, 0xB0, 0x8A, 0x79, 0x55, 0xBE, 0x28];
/// Parity generator matrix for (174,91) LDPC code, stored in bitpacked format (MSB first).
pub const FTX_LDPC_GENERATOR: [[u8; FTX_LDPC_K_BYTES]; FTX_LDPC_M] = [
[
0x83, 0x29, 0xce, 0x11, 0xbf, 0x31, 0xea, 0xf5, 0x09, 0xf2, 0x7f, 0xc0,
],
[
0x76, 0x1c, 0x26, 0x4e, 0x25, 0xc2, 0x59, 0x33, 0x54, 0x93, 0x13, 0x20,
],
[
0xdc, 0x26, 0x59, 0x02, 0xfb, 0x27, 0x7c, 0x64, 0x10, 0xa1, 0xbd, 0xc0,
],
[
0x1b, 0x3f, 0x41, 0x78, 0x58, 0xcd, 0x2d, 0xd3, 0x3e, 0xc7, 0xf6, 0x20,
],
[
0x09, 0xfd, 0xa4, 0xfe, 0xe0, 0x41, 0x95, 0xfd, 0x03, 0x47, 0x83, 0xa0,
],
[
0x07, 0x7c, 0xcc, 0xc1, 0x1b, 0x88, 0x73, 0xed, 0x5c, 0x3d, 0x48, 0xa0,
],
[
0x29, 0xb6, 0x2a, 0xfe, 0x3c, 0xa0, 0x36, 0xf4, 0xfe, 0x1a, 0x9d, 0xa0,
],
[
0x60, 0x54, 0xfa, 0xf5, 0xf3, 0x5d, 0x96, 0xd3, 0xb0, 0xc8, 0xc3, 0xe0,
],
[
0xe2, 0x07, 0x98, 0xe4, 0x31, 0x0e, 0xed, 0x27, 0x88, 0x4a, 0xe9, 0x00,
],
[
0x77, 0x5c, 0x9c, 0x08, 0xe8, 0x0e, 0x26, 0xdd, 0xae, 0x56, 0x31, 0x80,
],
[
0xb0, 0xb8, 0x11, 0x02, 0x8c, 0x2b, 0xf9, 0x97, 0x21, 0x34, 0x87, 0xc0,
],
[
0x18, 0xa0, 0xc9, 0x23, 0x1f, 0xc6, 0x0a, 0xdf, 0x5c, 0x5e, 0xa3, 0x20,
],
[
0x76, 0x47, 0x1e, 0x83, 0x02, 0xa0, 0x72, 0x1e, 0x01, 0xb1, 0x2b, 0x80,
],
[
0xff, 0xbc, 0xcb, 0x80, 0xca, 0x83, 0x41, 0xfa, 0xfb, 0x47, 0xb2, 0xe0,
],
[
0x66, 0xa7, 0x2a, 0x15, 0x8f, 0x93, 0x25, 0xa2, 0xbf, 0x67, 0x17, 0x00,
],
[
0xc4, 0x24, 0x36, 0x89, 0xfe, 0x85, 0xb1, 0xc5, 0x13, 0x63, 0xa1, 0x80,
],
[
0x0d, 0xff, 0x73, 0x94, 0x14, 0xd1, 0xa1, 0xb3, 0x4b, 0x1c, 0x27, 0x00,
],
[
0x15, 0xb4, 0x88, 0x30, 0x63, 0x6c, 0x8b, 0x99, 0x89, 0x49, 0x72, 0xe0,
],
[
0x29, 0xa8, 0x9c, 0x0d, 0x3d, 0xe8, 0x1d, 0x66, 0x54, 0x89, 0xb0, 0xe0,
],
[
0x4f, 0x12, 0x6f, 0x37, 0xfa, 0x51, 0xcb, 0xe6, 0x1b, 0xd6, 0xb9, 0x40,
],
[
0x99, 0xc4, 0x72, 0x39, 0xd0, 0xd9, 0x7d, 0x3c, 0x84, 0xe0, 0x94, 0x00,
],
[
0x19, 0x19, 0xb7, 0x51, 0x19, 0x76, 0x56, 0x21, 0xbb, 0x4f, 0x1e, 0x80,
],
[
0x09, 0xdb, 0x12, 0xd7, 0x31, 0xfa, 0xee, 0x0b, 0x86, 0xdf, 0x6b, 0x80,
],
[
0x48, 0x8f, 0xc3, 0x3d, 0xf4, 0x3f, 0xbd, 0xee, 0xa4, 0xea, 0xfb, 0x40,
],
[
0x82, 0x74, 0x23, 0xee, 0x40, 0xb6, 0x75, 0xf7, 0x56, 0xeb, 0x5f, 0xe0,
],
[
0xab, 0xe1, 0x97, 0xc4, 0x84, 0xcb, 0x74, 0x75, 0x71, 0x44, 0xa9, 0xa0,
],
[
0x2b, 0x50, 0x0e, 0x4b, 0xc0, 0xec, 0x5a, 0x6d, 0x2b, 0xdb, 0xdd, 0x00,
],
[
0xc4, 0x74, 0xaa, 0x53, 0xd7, 0x02, 0x18, 0x76, 0x16, 0x69, 0x36, 0x00,
],
[
0x8e, 0xba, 0x1a, 0x13, 0xdb, 0x33, 0x90, 0xbd, 0x67, 0x18, 0xce, 0xc0,
],
[
0x75, 0x38, 0x44, 0x67, 0x3a, 0x27, 0x78, 0x2c, 0xc4, 0x20, 0x12, 0xe0,
],
[
0x06, 0xff, 0x83, 0xa1, 0x45, 0xc3, 0x70, 0x35, 0xa5, 0xc1, 0x26, 0x80,
],
[
0x3b, 0x37, 0x41, 0x78, 0x58, 0xcc, 0x2d, 0xd3, 0x3e, 0xc3, 0xf6, 0x20,
],
[
0x9a, 0x4a, 0x5a, 0x28, 0xee, 0x17, 0xca, 0x9c, 0x32, 0x48, 0x42, 0xc0,
],
[
0xbc, 0x29, 0xf4, 0x65, 0x30, 0x9c, 0x97, 0x7e, 0x89, 0x61, 0x0a, 0x40,
],
[
0x26, 0x63, 0xae, 0x6d, 0xdf, 0x8b, 0x5c, 0xe2, 0xbb, 0x29, 0x48, 0x80,
],
[
0x46, 0xf2, 0x31, 0xef, 0xe4, 0x57, 0x03, 0x4c, 0x18, 0x14, 0x41, 0x80,
],
[
0x3f, 0xb2, 0xce, 0x85, 0xab, 0xe9, 0xb0, 0xc7, 0x2e, 0x06, 0xfb, 0xe0,
],
[
0xde, 0x87, 0x48, 0x1f, 0x28, 0x2c, 0x15, 0x39, 0x71, 0xa0, 0xa2, 0xe0,
],
[
0xfc, 0xd7, 0xcc, 0xf2, 0x3c, 0x69, 0xfa, 0x99, 0xbb, 0xa1, 0x41, 0x20,
],
[
0xf0, 0x26, 0x14, 0x47, 0xe9, 0x49, 0x0c, 0xa8, 0xe4, 0x74, 0xce, 0xc0,
],
[
0x44, 0x10, 0x11, 0x58, 0x18, 0x19, 0x6f, 0x95, 0xcd, 0xd7, 0x01, 0x20,
],
[
0x08, 0x8f, 0xc3, 0x1d, 0xf4, 0xbf, 0xbd, 0xe2, 0xa4, 0xea, 0xfb, 0x40,
],
[
0xb8, 0xfe, 0xf1, 0xb6, 0x30, 0x77, 0x29, 0xfb, 0x0a, 0x07, 0x8c, 0x00,
],
[
0x5a, 0xfe, 0xa7, 0xac, 0xcc, 0xb7, 0x7b, 0xbc, 0x9d, 0x99, 0xa9, 0x00,
],
[
0x49, 0xa7, 0x01, 0x6a, 0xc6, 0x53, 0xf6, 0x5e, 0xcd, 0xc9, 0x07, 0x60,
],
[
0x19, 0x44, 0xd0, 0x85, 0xbe, 0x4e, 0x7d, 0xa8, 0xd6, 0xcc, 0x7d, 0x00,
],
[
0x25, 0x1f, 0x62, 0xad, 0xc4, 0x03, 0x2f, 0x0e, 0xe7, 0x14, 0x00, 0x20,
],
[
0x56, 0x47, 0x1f, 0x87, 0x02, 0xa0, 0x72, 0x1e, 0x00, 0xb1, 0x2b, 0x80,
],
[
0x2b, 0x8e, 0x49, 0x23, 0xf2, 0xdd, 0x51, 0xe2, 0xd5, 0x37, 0xfa, 0x00,
],
[
0x6b, 0x55, 0x0a, 0x40, 0xa6, 0x6f, 0x47, 0x55, 0xde, 0x95, 0xc2, 0x60,
],
[
0xa1, 0x8a, 0xd2, 0x8d, 0x4e, 0x27, 0xfe, 0x92, 0xa4, 0xf6, 0xc8, 0x40,
],
[
0x10, 0xc2, 0xe5, 0x86, 0x38, 0x8c, 0xb8, 0x2a, 0x3d, 0x80, 0x75, 0x80,
],
[
0xef, 0x34, 0xa4, 0x18, 0x17, 0xee, 0x02, 0x13, 0x3d, 0xb2, 0xeb, 0x00,
],
[
0x7e, 0x9c, 0x0c, 0x54, 0x32, 0x5a, 0x9c, 0x15, 0x83, 0x6e, 0x00, 0x00,
],
[
0x36, 0x93, 0xe5, 0x72, 0xd1, 0xfd, 0xe4, 0xcd, 0xf0, 0x79, 0xe8, 0x60,
],
[
0xbf, 0xb2, 0xce, 0xc5, 0xab, 0xe1, 0xb0, 0xc7, 0x2e, 0x07, 0xfb, 0xe0,
],
[
0x7e, 0xe1, 0x82, 0x30, 0xc5, 0x83, 0xcc, 0xcc, 0x57, 0xd4, 0xb0, 0x80,
],
[
0xa0, 0x66, 0xcb, 0x2f, 0xed, 0xaf, 0xc9, 0xf5, 0x26, 0x64, 0x12, 0x60,
],
[
0xbb, 0x23, 0x72, 0x5a, 0xbc, 0x47, 0xcc, 0x5f, 0x4c, 0xc4, 0xcd, 0x20,
],
[
0xde, 0xd9, 0xdb, 0xa3, 0xbe, 0xe4, 0x0c, 0x59, 0xb5, 0x60, 0x9b, 0x40,
],
[
0xd9, 0xa7, 0x01, 0x6a, 0xc6, 0x53, 0xe6, 0xde, 0xcd, 0xc9, 0x03, 0x60,
],
[
0x9a, 0xd4, 0x6a, 0xed, 0x5f, 0x70, 0x7f, 0x28, 0x0a, 0xb5, 0xfc, 0x40,
],
[
0xe5, 0x92, 0x1c, 0x77, 0x82, 0x25, 0x87, 0x31, 0x6d, 0x7d, 0x3c, 0x20,
],
[
0x4f, 0x14, 0xda, 0x82, 0x42, 0xa8, 0xb8, 0x6d, 0xca, 0x73, 0x35, 0x20,
],
[
0x8b, 0x8b, 0x50, 0x7a, 0xd4, 0x67, 0xd4, 0x44, 0x1d, 0xf7, 0x70, 0xe0,
],
[
0x22, 0x83, 0x1c, 0x9c, 0xf1, 0x16, 0x94, 0x67, 0xad, 0x04, 0xb6, 0x80,
],
[
0x21, 0x3b, 0x83, 0x8f, 0xe2, 0xae, 0x54, 0xc3, 0x8e, 0xe7, 0x18, 0x00,
],
[
0x5d, 0x92, 0x6b, 0x6d, 0xd7, 0x1f, 0x08, 0x51, 0x81, 0xa4, 0xe1, 0x20,
],
[
0x66, 0xab, 0x79, 0xd4, 0xb2, 0x9e, 0xe6, 0xe6, 0x95, 0x09, 0xe5, 0x60,
],
[
0x95, 0x81, 0x48, 0x68, 0x2d, 0x74, 0x8a, 0x38, 0xdd, 0x68, 0xba, 0xa0,
],
[
0xb8, 0xce, 0x02, 0x0c, 0xf0, 0x69, 0xc3, 0x2a, 0x72, 0x3a, 0xb1, 0x40,
],
[
0xf4, 0x33, 0x1d, 0x6d, 0x46, 0x16, 0x07, 0xe9, 0x57, 0x52, 0x74, 0x60,
],
[
0x6d, 0xa2, 0x3b, 0xa4, 0x24, 0xb9, 0x59, 0x61, 0x33, 0xcf, 0x9c, 0x80,
],
[
0xa6, 0x36, 0xbc, 0xbc, 0x7b, 0x30, 0xc5, 0xfb, 0xea, 0xe6, 0x7f, 0xe0,
],
[
0x5c, 0xb0, 0xd8, 0x6a, 0x07, 0xdf, 0x65, 0x4a, 0x90, 0x89, 0xa2, 0x00,
],
[
0xf1, 0x1f, 0x10, 0x68, 0x48, 0x78, 0x0f, 0xc9, 0xec, 0xdd, 0x80, 0xa0,
],
[
0x1f, 0xbb, 0x53, 0x64, 0xfb, 0x8d, 0x2c, 0x9d, 0x73, 0x0d, 0x5b, 0xa0,
],
[
0xfc, 0xb8, 0x6b, 0xc7, 0x0a, 0x50, 0xc9, 0xd0, 0x2a, 0x5d, 0x03, 0x40,
],
[
0xa5, 0x34, 0x43, 0x30, 0x29, 0xea, 0xc1, 0x5f, 0x32, 0x2e, 0x34, 0xc0,
],
[
0xc9, 0x89, 0xd9, 0xc7, 0xc3, 0xd3, 0xb8, 0xc5, 0x5d, 0x75, 0x13, 0x00,
],
[
0x7b, 0xb3, 0x8b, 0x2f, 0x01, 0x86, 0xd4, 0x66, 0x43, 0xae, 0x96, 0x20,
],
[
0x26, 0x44, 0xeb, 0xad, 0xeb, 0x44, 0xb9, 0x46, 0x7d, 0x1f, 0x42, 0xc0,
],
[
0x60, 0x8c, 0xc8, 0x57, 0x59, 0x4b, 0xfb, 0xb5, 0x5d, 0x69, 0x60, 0x00,
],
];
/// LDPC parity check matrix Nm: each row describes one parity check.
/// Numbers are 1-origin indices into the codeword.
pub const FTX_LDPC_NM: [[u8; 7]; FTX_LDPC_M] = [
[4, 31, 59, 91, 92, 96, 153],
[5, 32, 60, 93, 115, 146, 0],
[6, 24, 61, 94, 122, 151, 0],
[7, 33, 62, 95, 96, 143, 0],
[8, 25, 63, 83, 93, 96, 148],
[6, 32, 64, 97, 126, 138, 0],
[5, 34, 65, 78, 98, 107, 154],
[9, 35, 66, 99, 139, 146, 0],
[10, 36, 67, 100, 107, 126, 0],
[11, 37, 67, 87, 101, 139, 158],
[12, 38, 68, 102, 105, 155, 0],
[13, 39, 69, 103, 149, 162, 0],
[8, 40, 70, 82, 104, 114, 145],
[14, 41, 71, 88, 102, 123, 156],
[15, 42, 59, 106, 123, 159, 0],
[1, 33, 72, 106, 107, 157, 0],
[16, 43, 73, 108, 141, 160, 0],
[17, 37, 74, 81, 109, 131, 154],
[11, 44, 75, 110, 121, 166, 0],
[45, 55, 64, 111, 130, 161, 173],
[8, 46, 71, 112, 119, 166, 0],
[18, 36, 76, 89, 113, 114, 143],
[19, 38, 77, 104, 116, 163, 0],
[20, 47, 70, 92, 138, 165, 0],
[2, 48, 74, 113, 128, 160, 0],
[21, 45, 78, 83, 117, 121, 151],
[22, 47, 58, 118, 127, 164, 0],
[16, 39, 62, 112, 134, 158, 0],
[23, 43, 79, 120, 131, 145, 0],
[19, 35, 59, 73, 110, 125, 161],
[20, 36, 63, 94, 136, 161, 0],
[14, 31, 79, 98, 132, 164, 0],
[3, 44, 80, 124, 127, 169, 0],
[19, 46, 81, 117, 135, 167, 0],
[7, 49, 58, 90, 100, 105, 168],
[12, 50, 61, 118, 119, 144, 0],
[13, 51, 64, 114, 118, 157, 0],
[24, 52, 76, 129, 148, 149, 0],
[25, 53, 69, 90, 101, 130, 156],
[20, 46, 65, 80, 120, 140, 170],
[21, 54, 77, 100, 140, 171, 0],
[35, 82, 133, 142, 171, 174, 0],
[14, 30, 83, 113, 125, 170, 0],
[4, 29, 68, 120, 134, 173, 0],
[1, 4, 52, 57, 86, 136, 152],
[26, 51, 56, 91, 122, 137, 168],
[52, 84, 110, 115, 145, 168, 0],
[7, 50, 81, 99, 132, 173, 0],
[23, 55, 67, 95, 172, 174, 0],
[26, 41, 77, 109, 141, 148, 0],
[2, 27, 41, 61, 62, 115, 133],
[27, 40, 56, 124, 125, 126, 0],
[18, 49, 55, 124, 141, 167, 0],
[6, 33, 85, 108, 116, 156, 0],
[28, 48, 70, 85, 105, 129, 158],
[9, 54, 63, 131, 147, 155, 0],
[22, 53, 68, 109, 121, 174, 0],
[3, 13, 48, 78, 95, 123, 0],
[31, 69, 133, 150, 155, 169, 0],
[12, 43, 66, 89, 97, 135, 159],
[5, 39, 75, 102, 136, 167, 0],
[2, 54, 86, 101, 135, 164, 0],
[15, 56, 87, 108, 119, 171, 0],
[10, 44, 82, 91, 111, 144, 149],
[23, 34, 71, 94, 127, 153, 0],
[11, 49, 88, 92, 142, 157, 0],
[29, 34, 87, 97, 147, 162, 0],
[30, 50, 60, 86, 137, 142, 162],
[10, 53, 66, 84, 112, 128, 165],
[22, 57, 85, 93, 140, 159, 0],
[28, 32, 72, 103, 132, 166, 0],
[28, 29, 84, 88, 117, 143, 150],
[1, 26, 45, 80, 128, 147, 0],
[17, 27, 89, 103, 116, 153, 0],
[51, 57, 98, 163, 165, 172, 0],
[21, 37, 73, 138, 152, 169, 0],
[16, 47, 76, 130, 137, 154, 0],
[3, 24, 30, 72, 104, 139, 0],
[9, 40, 90, 106, 134, 151, 0],
[15, 58, 60, 74, 111, 150, 163],
[18, 42, 79, 144, 146, 152, 0],
[25, 38, 65, 99, 122, 160, 0],
[17, 42, 75, 129, 170, 172, 0],
];
/// Mn: each row corresponds to a codeword bit.
/// The numbers indicate which three parity checks refer to the codeword bit (1-origin).
pub const FTX_LDPC_MN: [[u8; 3]; FTX_LDPC_N] = [
[16, 45, 73],
[25, 51, 62],
[33, 58, 78],
[1, 44, 45],
[2, 7, 61],
[3, 6, 54],
[4, 35, 48],
[5, 13, 21],
[8, 56, 79],
[9, 64, 69],
[10, 19, 66],
[11, 36, 60],
[12, 37, 58],
[14, 32, 43],
[15, 63, 80],
[17, 28, 77],
[18, 74, 83],
[22, 53, 81],
[23, 30, 34],
[24, 31, 40],
[26, 41, 76],
[27, 57, 70],
[29, 49, 65],
[3, 38, 78],
[5, 39, 82],
[46, 50, 73],
[51, 52, 74],
[55, 71, 72],
[44, 67, 72],
[43, 68, 78],
[1, 32, 59],
[2, 6, 71],
[4, 16, 54],
[7, 65, 67],
[8, 30, 42],
[9, 22, 31],
[10, 18, 76],
[11, 23, 82],
[12, 28, 61],
[13, 52, 79],
[14, 50, 51],
[15, 81, 83],
[17, 29, 60],
[19, 33, 64],
[20, 26, 73],
[21, 34, 40],
[24, 27, 77],
[25, 55, 58],
[35, 53, 66],
[36, 48, 68],
[37, 46, 75],
[38, 45, 47],
[39, 57, 69],
[41, 56, 62],
[20, 49, 53],
[46, 52, 63],
[45, 70, 75],
[27, 35, 80],
[1, 15, 30],
[2, 68, 80],
[3, 36, 51],
[4, 28, 51],
[5, 31, 56],
[6, 20, 37],
[7, 40, 82],
[8, 60, 69],
[9, 10, 49],
[11, 44, 57],
[12, 39, 59],
[13, 24, 55],
[14, 21, 65],
[16, 71, 78],
[17, 30, 76],
[18, 25, 80],
[19, 61, 83],
[22, 38, 77],
[23, 41, 50],
[7, 26, 58],
[29, 32, 81],
[33, 40, 73],
[18, 34, 48],
[13, 42, 64],
[5, 26, 43],
[47, 69, 72],
[54, 55, 70],
[45, 62, 68],
[10, 63, 67],
[14, 66, 72],
[22, 60, 74],
[35, 39, 79],
[1, 46, 64],
[1, 24, 66],
[2, 5, 70],
[3, 31, 65],
[4, 49, 58],
[1, 4, 5],
[6, 60, 67],
[7, 32, 75],
[8, 48, 82],
[9, 35, 41],
[10, 39, 62],
[11, 14, 61],
[12, 71, 74],
[13, 23, 78],
[11, 35, 55],
[15, 16, 79],
[7, 9, 16],
[17, 54, 63],
[18, 50, 57],
[19, 30, 47],
[20, 64, 80],
[21, 28, 69],
[22, 25, 43],
[13, 22, 37],
[2, 47, 51],
[23, 54, 74],
[26, 34, 72],
[27, 36, 37],
[21, 36, 63],
[29, 40, 44],
[19, 26, 57],
[3, 46, 82],
[23, 54, 74],
[33, 52, 53],
[30, 43, 52],
[6, 9, 52],
[27, 33, 65],
[25, 69, 73],
[38, 55, 83],
[20, 39, 77],
[18, 29, 56],
[32, 48, 71],
[42, 51, 59],
[28, 44, 79],
[34, 60, 62],
[31, 45, 61],
[46, 68, 77],
[6, 24, 76],
[8, 10, 78],
[40, 41, 70],
[17, 50, 53],
[42, 66, 68],
[4, 22, 72],
[36, 64, 81],
[13, 29, 47],
[2, 8, 81],
[56, 67, 73],
[5, 38, 50],
[12, 38, 64],
[59, 72, 80],
[3, 26, 79],
[45, 76, 81],
[1, 65, 74],
[7, 18, 77],
[11, 56, 59],
[14, 39, 54],
[16, 37, 66],
[10, 28, 55],
[15, 60, 70],
[17, 25, 82],
[20, 30, 31],
[12, 67, 68],
[23, 75, 80],
[27, 32, 62],
[24, 69, 75],
[19, 21, 71],
[34, 53, 61],
[35, 46, 47],
[33, 59, 76],
[40, 43, 83],
[41, 42, 63],
[49, 75, 83],
[20, 44, 48],
[42, 49, 57],
];
/// Number of entries per row in FTX_LDPC_NM.
pub const FTX_LDPC_NUM_ROWS: [u8; FTX_LDPC_M] = [
7, 6, 6, 6, 7, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 6, 6, 7, 6, 7, 6, 7, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6,
6, 6, 7, 6, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 7, 6, 6, 6, 7,
6, 6, 6, 7, 7, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6,
];
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
use super::protocol::{FT8_CRC_POLYNOMIAL, FT8_CRC_WIDTH};
const TOPBIT: u16 = 1 << (FT8_CRC_WIDTH - 1);
/// Compute 14-bit CRC for a sequence of given number of bits.
/// `message` is a byte sequence (MSB first), `num_bits` is the number of bits.
pub fn ftx_compute_crc(message: &[u8], num_bits: usize) -> u16 {
let mut remainder: u16 = 0;
let mut idx_byte: usize = 0;
for idx_bit in 0..num_bits {
if idx_bit % 8 == 0 {
remainder ^= (message[idx_byte] as u16) << (FT8_CRC_WIDTH - 8);
idx_byte += 1;
}
if remainder & TOPBIT != 0 {
remainder = (remainder << 1) ^ FT8_CRC_POLYNOMIAL;
} else {
remainder <<= 1;
}
}
remainder & ((TOPBIT << 1) - 1)
}
/// Extract the FT8/FT4 CRC from a packed 91-bit message.
pub fn ftx_extract_crc(a91: &[u8]) -> u16 {
((a91[9] as u16 & 0x07) << 11) | ((a91[10] as u16) << 3) | ((a91[11] as u16) >> 5)
}
/// Add FT8/FT4 CRC to a packed message.
/// `payload` contains 77 bits of payload data, `a91` receives 91 bits (payload + CRC).
pub fn ftx_add_crc(payload: &[u8], a91: &mut [u8]) {
// Copy 77 bits of payload data
a91[..10].copy_from_slice(&payload[..10]);
// Clear 3 bits after the payload to make 82 bits
a91[9] &= 0xF8;
a91[10] = 0;
// Calculate CRC of 82 bits (77 + 5 zeros)
let checksum = ftx_compute_crc(a91, 96 - 14);
// Store the CRC at the end of 77 bit message
a91[9] |= (checksum >> 11) as u8;
a91[10] = (checksum >> 3) as u8;
a91[11] = (checksum << 5) as u8;
}
/// Check CRC of a packed 91-bit message. Returns true if valid.
pub fn ftx_check_crc(a91: &[u8; 12]) -> bool {
let crc_extracted = ftx_extract_crc(a91);
let mut temp = *a91;
temp[9] &= 0xF8;
temp[10] = 0x00;
let crc_calculated = ftx_compute_crc(&temp, 96 - 14);
crc_extracted == crc_calculated
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn crc_round_trip() {
let payload: [u8; 10] = [0x12, 0x34, 0x56, 0x78, 0x9A, 0xBC, 0xDE, 0xF0, 0x11, 0x20];
let mut a91 = [0u8; 12];
ftx_add_crc(&payload, &mut a91);
let crc = ftx_extract_crc(&a91);
// Verify CRC matches what we computed
let mut check = a91;
check[9] &= 0xF8;
check[10] = 0x00;
assert_eq!(crc, ftx_compute_crc(&check, 96 - 14));
}
#[test]
fn crc_check() {
let payload: [u8; 10] = [0xAB, 0xCD, 0xEF, 0x01, 0x23, 0x45, 0x67, 0x89, 0x0A, 0xB0];
let mut a91 = [0u8; 12];
ftx_add_crc(&payload, &mut a91);
assert!(ftx_check_crc(&a91));
// Corrupt a bit
a91[0] ^= 0x01;
assert!(!ftx_check_crc(&a91));
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Candidate search, shared decode helpers, and dispatcher functions for FTx decoding.
//!
//! Ports `decode.c` from ft8_lib.
#[cfg(feature = "ft2")]
use num_complex::Complex32;
use super::constants::*;
use super::monitor::{Waterfall, WfElem};
use super::protocol::*;
/// Candidate position in time and frequency.
#[derive(Clone, Copy, Default)]
pub struct Candidate {
pub score: i16,
pub time_offset: i16,
pub freq_offset: i16,
pub time_sub: u8,
pub freq_sub: u8,
}
/// Decode status information.
#[derive(Default)]
pub struct DecodeStatus {
pub ldpc_errors: i32,
pub crc_extracted: u16,
pub crc_calculated: u16,
}
/// Message payload (77 bits packed into 10 bytes) with dedup hash.
#[derive(Clone, Default)]
pub struct FtxMessage {
pub payload: [u8; FTX_PAYLOAD_LENGTH_BYTES],
pub hash: u16,
}
#[cfg(feature = "ft2")]
pub(crate) fn wf_elem_to_complex(elem: WfElem) -> Complex32 {
Complex32::new(elem.re, elem.im)
}
pub(crate) fn get_cand_offset(wf: &Waterfall, cand: &Candidate) -> usize {
let offset = cand.time_offset as isize;
let offset = offset * wf.time_osr as isize + cand.time_sub as isize;
let offset = offset * wf.freq_osr as isize + cand.freq_sub as isize;
let offset = offset * wf.num_bins as isize + cand.freq_offset as isize;
offset.max(0) as usize
}
// Default element for out-of-bounds waterfall access
pub(crate) static DEFAULT_WF_ELEM: WfElem = WfElem {
mag: -120.0,
phase: 0.0,
re: 0.0,
im: 0.0,
};
pub(crate) fn wf_mag_safe(wf: &Waterfall, idx: usize) -> &WfElem {
if idx < wf.mag.len() {
&wf.mag[idx]
} else {
&DEFAULT_WF_ELEM
}
}
/// Min-heap operations for candidate list.
fn heapify_down(heap: &mut [Candidate], size: usize) {
let mut current = 0;
loop {
let left = 2 * current + 1;
let right = left + 1;
let mut smallest = current;
if left < size && heap[left].score < heap[smallest].score {
smallest = left;
}
if right < size && heap[right].score < heap[smallest].score {
smallest = right;
}
if smallest == current {
break;
}
heap.swap(current, smallest);
current = smallest;
}
}
fn heapify_up(heap: &mut [Candidate], size: usize) {
let mut current = size - 1;
while current > 0 {
let parent = (current - 1) / 2;
if heap[current].score >= heap[parent].score {
break;
}
heap.swap(current, parent);
current = parent;
}
}
/// Find candidate signals in the waterfall. Returns sorted candidates (best first).
pub fn ftx_find_candidates(
wf: &Waterfall,
max_candidates: usize,
min_score: i32,
) -> Vec<Candidate> {
#[cfg(feature = "ft2")]
let is_ft2 = wf.protocol == FtxProtocol::Ft2;
#[cfg(not(feature = "ft2"))]
let is_ft2 = false;
let num_tones = if wf.protocol.uses_ft4_layout() { 4 } else { 8 };
let (time_offset_min, time_offset_max) = if is_ft2 {
#[cfg(feature = "ft2")]
{
let max = (wf.num_blocks as i32 - FT2_NN as i32 + 2).max(-1);
(-2i16, max as i16)
}
#[cfg(not(feature = "ft2"))]
unreachable!()
} else if wf.protocol == FtxProtocol::Ft4 {
let max = (wf.num_blocks as i32 - FT4_NN as i32 + 34).max(-33);
(-34i16, max as i16)
} else {
(-10i16, 20i16)
};
let mut heap = vec![Candidate::default(); max_candidates];
let mut heap_size = 0;
for time_sub in 0..wf.time_osr as u8 {
for freq_sub in 0..wf.freq_osr as u8 {
let mut time_offset = time_offset_min;
while time_offset < time_offset_max {
let mut freq_offset: i16 = 0;
while (freq_offset as usize + num_tones - 1) < wf.num_bins {
let cand = Candidate {
score: 0,
time_offset,
freq_offset,
time_sub,
freq_sub,
};
let score = if is_ft2 {
#[cfg(feature = "ft2")]
{
crate::ft2::ft2_sync_score(wf, &cand)
}
#[cfg(not(feature = "ft2"))]
unreachable!()
} else if wf.protocol.uses_ft4_layout() {
crate::ft4::ft4_sync_score(wf, &cand)
} else {
crate::ft8::ft8_sync_score(wf, &cand)
};
if score >= min_score {
if heap_size == max_candidates && score > heap[0].score as i32 {
heap_size -= 1;
heap[0] = heap[heap_size];
heapify_down(&mut heap, heap_size);
}
if heap_size < max_candidates {
heap[heap_size] = Candidate {
score: score as i16,
time_offset,
freq_offset,
time_sub,
freq_sub,
};
heap_size += 1;
heapify_up(&mut heap, heap_size);
}
}
freq_offset += 1;
}
time_offset += 1;
}
}
}
// Sort by descending score (heap sort)
let mut len_unsorted = heap_size;
while len_unsorted > 1 {
heap.swap(0, len_unsorted - 1);
len_unsorted -= 1;
heapify_down(&mut heap, len_unsorted);
}
heap.truncate(heap_size);
heap
}
/// Verify CRC of a 174-bit plaintext and build an FtxMessage.
///
/// `plain174`: decoded LDPC codeword (174 bits, each 0 or 1).
/// `uses_xor`: true for FT4/FT2 (apply XOR sequence), false for FT8.
///
/// Returns `None` if CRC check fails.
pub(crate) fn verify_crc_and_build_message(
plain174: &[u8; FTX_LDPC_N],
uses_xor: bool,
) -> Option<FtxMessage> {
let mut a91 = [0u8; FTX_LDPC_K_BYTES];
pack_bits(plain174, FTX_LDPC_K, &mut a91);
let a91_orig = a91;
let crc_extracted = super::crc::ftx_extract_crc(&a91);
a91[9] &= 0xF8;
a91[10] = 0x00;
let crc_calculated = super::crc::ftx_compute_crc(&a91, 96 - 14);
if crc_extracted != crc_calculated {
return None;
}
let a91 = a91_orig;
let mut message = FtxMessage {
hash: crc_calculated,
payload: [0; FTX_PAYLOAD_LENGTH_BYTES],
};
if uses_xor {
for i in 0..10 {
message.payload[i] = a91[i] ^ FT4_XOR_SEQUENCE[i];
}
} else {
message.payload[..10].copy_from_slice(&a91[..10]);
}
Some(message)
}
/// Normalize log-likelihoods.
fn ftx_normalize_logl(log174: &mut [f32; FTX_LDPC_N]) {
let mut sum = 0.0f32;
let mut sum2 = 0.0f32;
for &v in log174.iter() {
sum += v;
sum2 += v * v;
}
let inv_n = 1.0 / FTX_LDPC_N as f32;
let variance = (sum2 - sum * sum * inv_n) * inv_n;
if variance > 0.0 {
let norm_factor = (24.0 / variance).sqrt();
for v in log174.iter_mut() {
*v *= norm_factor;
}
}
}
/// Pack bits into bytes (MSB first).
pub fn pack_bits(bit_array: &[u8], num_bits: usize, packed: &mut [u8]) {
let num_bytes = num_bits.div_ceil(8);
for b in packed[..num_bytes].iter_mut() {
*b = 0;
}
let mut mask: u8 = 0x80;
let mut byte_idx = 0;
for &bit in bit_array.iter().take(num_bits) {
if bit != 0 {
packed[byte_idx] |= mask;
}
mask >>= 1;
if mask == 0 {
mask = 0x80;
byte_idx += 1;
}
}
}
/// Attempt to decode a candidate. Returns decoded message or None.
pub fn ftx_decode_candidate(
wf: &Waterfall,
cand: &Candidate,
max_iterations: usize,
) -> Option<FtxMessage> {
let mut log174 = [0.0f32; FTX_LDPC_N];
#[cfg(feature = "ft2")]
if wf.protocol == FtxProtocol::Ft2 {
crate::ft2::ft2_extract_likelihood(wf, cand, &mut log174);
} else if wf.protocol.uses_ft4_layout() {
crate::ft4::ft4_extract_likelihood(wf, cand, &mut log174);
} else {
crate::ft8::ft8_extract_likelihood(wf, cand, &mut log174);
}
#[cfg(not(feature = "ft2"))]
if wf.protocol.uses_ft4_layout() {
crate::ft4::ft4_extract_likelihood(wf, cand, &mut log174);
} else {
crate::ft8::ft8_extract_likelihood(wf, cand, &mut log174);
}
ftx_normalize_logl(&mut log174);
let mut plain174 = [0u8; FTX_LDPC_N];
let errors = super::ldpc::bp_decode(&log174, max_iterations, &mut plain174);
if errors > 0 {
return None;
}
verify_crc_and_build_message(&plain174, wf.protocol.uses_ft4_layout())
}
/// Compute post-decode SNR.
pub fn ftx_post_decode_snr(wf: &Waterfall, cand: &Candidate, message: &FtxMessage) -> f32 {
let is_ft4 = wf.protocol.uses_ft4_layout();
let nn = if is_ft4 { FT4_NN } else { FT8_NN };
let num_tones = if is_ft4 { 4 } else { 8 };
let mut tones = [0u8; FT4_NN]; // FT4_NN >= FT8_NN
if is_ft4 {
crate::ft4::ft4_encode(&message.payload, &mut tones);
} else {
crate::ft8::ft8_encode(&message.payload, &mut tones);
}
let base = get_cand_offset(wf, cand);
let mut sum_snr = 0.0f32;
let mut n_valid = 0;
for (sym, &tone) in tones.iter().enumerate().take(nn) {
let block_abs = cand.time_offset as i32 + sym as i32;
if block_abs < 0 || block_abs >= wf.num_blocks as i32 {
continue;
}
let p_offset = base + sym * wf.block_stride;
let sig_db = wf_mag_safe(wf, p_offset + tone as usize).mag;
let mut noise_min = 0.0f32;
let mut found_noise = false;
for t in 0..num_tones {
if t == tone as usize {
continue;
}
let db = wf_mag_safe(wf, p_offset + t).mag;
if !found_noise || db < noise_min {
noise_min = db;
found_noise = true;
}
}
if found_noise {
sum_snr += sig_db - noise_min;
n_valid += 1;
}
}
if n_valid == 0 {
return cand.score as f32 * 0.5 - 29.0;
}
let symbol_period = wf.protocol.symbol_period();
let bw_correction = 10.0 * (2500.0 * symbol_period * wf.freq_osr as f32).log10();
sum_snr / n_valid as f32 - bw_correction
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Shared LDPC encoding functions used by all FTx protocols.
use super::constants::FTX_LDPC_GENERATOR;
use super::protocol::{FTX_LDPC_K, FTX_LDPC_K_BYTES, FTX_LDPC_M, FTX_LDPC_N_BYTES};
/// Returns 1 if an odd number of bits are set in `x`, zero otherwise.
pub(crate) fn parity8(x: u8) -> u8 {
let x = x ^ (x >> 4);
let x = x ^ (x >> 2);
let x = x ^ (x >> 1);
x & 1
}
/// Encode via LDPC a 91-bit message and return a 174-bit codeword.
///
/// The generator matrix has dimensions (83, 91).
/// The code is a (174, 91) regular LDPC code with column weight 3.
///
/// `message` must be at least `FTX_LDPC_K_BYTES` (12) bytes.
/// `codeword` must be at least `FTX_LDPC_N_BYTES` (22) bytes.
pub(crate) fn encode174(message: &[u8], codeword: &mut [u8]) {
// Fill the codeword with message and zeros
for j in 0..FTX_LDPC_N_BYTES {
codeword[j] = if j < FTX_LDPC_K_BYTES { message[j] } else { 0 };
}
// Compute the byte index and bit mask for the first checksum bit
let mut col_mask: u8 = 0x80u8 >> (FTX_LDPC_K % 8);
let mut col_idx: usize = FTX_LDPC_K_BYTES - 1;
// Compute the LDPC checksum bits and store them in codeword
for gen_row in FTX_LDPC_GENERATOR.iter().take(FTX_LDPC_M) {
let mut nsum: u8 = 0;
for j in 0..FTX_LDPC_K_BYTES {
nsum ^= parity8(message[j] & gen_row[j]);
}
if !nsum.is_multiple_of(2) {
codeword[col_idx] |= col_mask;
}
col_mask >>= 1;
if col_mask == 0 {
col_mask = 0x80u8;
col_idx += 1;
}
}
}
/// Encode a packed 91-bit message into a 174-bit codeword (bit array).
///
/// Each element of the returned array is 0 or 1.
/// Uses the same (174, 91) LDPC generator as `encode174`.
#[cfg(test)]
pub(crate) fn encode174_to_bits(a91: &[u8; FTX_LDPC_K_BYTES]) -> [u8; super::protocol::FTX_LDPC_N] {
use super::protocol::FTX_LDPC_N;
let mut codeword_packed = [0u8; FTX_LDPC_N_BYTES];
encode174(a91, &mut codeword_packed);
let mut bits = [0u8; FTX_LDPC_N];
for i in 0..FTX_LDPC_N {
bits[i] = (codeword_packed[i / 8] >> (7 - (i % 8))) & 0x01;
}
bits
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn parity8_basic() {
assert_eq!(parity8(0x00), 0); // 0 bits set
assert_eq!(parity8(0x01), 1); // 1 bit set
assert_eq!(parity8(0x03), 0); // 2 bits set
assert_eq!(parity8(0x07), 1); // 3 bits set
assert_eq!(parity8(0xFF), 0); // 8 bits set
assert_eq!(parity8(0xFE), 1); // 7 bits set
assert_eq!(parity8(0x80), 1); // 1 bit set
assert_eq!(parity8(0xA5), 0); // 4 bits set (10100101)
}
#[test]
fn encode174_systematic() {
// The first K_BYTES of the codeword should match the message
let message = [0u8; FTX_LDPC_K_BYTES];
let mut codeword = [0u8; FTX_LDPC_N_BYTES];
encode174(&message, &mut codeword);
// All-zero message should produce all-zero codeword
for byte in &codeword {
assert_eq!(*byte, 0);
}
}
#[test]
fn encode174_preserves_message() {
// The codeword should start with the message bytes (systematic code).
// Byte 11 shares bits between the last 3 message bits and the first
// parity bits, so only check bytes 0..10 for exact match.
let message: [u8; FTX_LDPC_K_BYTES] = [
0x12, 0x34, 0x56, 0x78, 0x9A, 0xBC, 0xDE, 0xF0, 0x11, 0x22, 0x33, 0x40,
];
let mut codeword = [0u8; FTX_LDPC_N_BYTES];
encode174(&message, &mut codeword);
// First 11 bytes are pure message data
for j in 0..(FTX_LDPC_K_BYTES - 1) {
assert_eq!(codeword[j], message[j]);
}
// Byte 11: top 3 bits are message, lower 5 bits may have parity
assert_eq!(codeword[11] & 0xE0, message[11] & 0xE0);
}
#[test]
fn encode174_nonzero_parity() {
// A non-zero message should produce non-zero parity bits
let message: [u8; FTX_LDPC_K_BYTES] = [
0xFF, 0x00, 0xFF, 0x00, 0xFF, 0x00, 0xFF, 0x00, 0xFF, 0x00, 0xFF, 0xE0,
];
let mut codeword = [0u8; FTX_LDPC_N_BYTES];
encode174(&message, &mut codeword);
// Parity portion should not be all zeros
let parity_nonzero = codeword[FTX_LDPC_K_BYTES..FTX_LDPC_N_BYTES]
.iter()
.any(|&b| b != 0);
assert!(
parity_nonzero,
"Parity bits should be non-zero for non-zero input"
);
}
#[test]
fn encode174_to_bits_all_zeros() {
let a91 = [0u8; FTX_LDPC_K_BYTES];
let cw = encode174_to_bits(&a91);
for &b in &cw {
assert_eq!(b, 0);
}
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Pure Rust LDPC decoder for FTx protocols.
//!
//! This is a port of the sum-product and belief-propagation LDPC decoders
//! from ft8_lib's `ldpc.c`. Given a 174-bit codeword as an array of
//! log-likelihood ratios (log(P(x=0)/P(x=1))), returns a corrected 174-bit
//! codeword. The last 87 bits are the systematic plain-text.
use super::constants::{FTX_LDPC_MN, FTX_LDPC_NM, FTX_LDPC_NUM_ROWS};
use super::protocol::{FTX_LDPC_M, FTX_LDPC_N};
/// Fast rational approximation of `tanh(x)`, clamped at +/-4.97.
pub(crate) fn fast_tanh(x: f32) -> f32 {
if x < -4.97f32 {
return -1.0f32;
}
if x > 4.97f32 {
return 1.0f32;
}
let x2 = x * x;
let a = x * (945.0f32 + x2 * (105.0f32 + x2));
let b = 945.0f32 + x2 * (420.0f32 + x2 * 15.0f32);
a / b
}
/// Fast rational approximation of `atanh(x)`.
pub(crate) fn fast_atanh(x: f32) -> f32 {
let x2 = x * x;
let a = x * (945.0f32 + x2 * (-735.0f32 + x2 * 64.0f32));
let b = 945.0f32 + x2 * (-1050.0f32 + x2 * 225.0f32);
a / b
}
/// Count the number of LDPC parity errors in a 174-bit codeword.
///
/// Returns 0 if all parity checks pass (valid codeword).
pub(crate) fn ldpc_check(codeword: &[u8; FTX_LDPC_N]) -> i32 {
let mut errors = 0i32;
for m in 0..FTX_LDPC_M {
let mut x: u8 = 0;
let num_rows = FTX_LDPC_NUM_ROWS[m] as usize;
for i in 0..num_rows {
x ^= codeword[FTX_LDPC_NM[m][i] as usize - 1];
}
if x != 0 {
errors += 1;
}
}
errors
}
/// Sum-product LDPC decoder.
///
/// `codeword` contains 174 log-likelihood ratios (modified in place during
/// decoding). `plain` receives the decoded 174-bit hard decisions (0 or 1).
/// `max_iters` controls how many iterations to attempt.
///
/// Returns the number of remaining parity errors (0 = success).
#[cfg(test)]
pub fn ldpc_decode(
codeword: &mut [f32; FTX_LDPC_N],
max_iters: usize,
plain: &mut [u8; FTX_LDPC_N],
) -> i32 {
// Flat arrays for m[][] and e[][] (~57 kB each, ~114 kB total on stack).
let mut m_matrix = [0.0f32; FTX_LDPC_M * FTX_LDPC_N];
let mut e_matrix = [0.0f32; FTX_LDPC_M * FTX_LDPC_N];
// Initialize m[][] with the channel LLRs.
for j in 0..FTX_LDPC_M {
m_matrix[j * FTX_LDPC_N..][..FTX_LDPC_N].copy_from_slice(codeword);
}
let mut min_errors = FTX_LDPC_M as i32;
for _iter in 0..max_iters {
// Update e[][] from m[][]
for j in 0..FTX_LDPC_M {
let num_rows = FTX_LDPC_NUM_ROWS[j] as usize;
let m_row = j * FTX_LDPC_N;
for ii1 in 0..num_rows {
let i1 = FTX_LDPC_NM[j][ii1] as usize - 1;
let mut a = 1.0f32;
for ii2 in 0..num_rows {
let i2 = FTX_LDPC_NM[j][ii2] as usize - 1;
if i2 != i1 {
a *= fast_tanh(-m_matrix[m_row + i2] / 2.0f32);
}
}
e_matrix[j * FTX_LDPC_N + i1] = -2.0f32 * fast_atanh(a);
}
}
// Hard decisions
for i in 0..FTX_LDPC_N {
let mut l = codeword[i];
for j in 0..3 {
l += e_matrix[(FTX_LDPC_MN[i][j] as usize - 1) * FTX_LDPC_N + i];
}
plain[i] = if l > 0.0 { 1 } else { 0 };
}
let errors = ldpc_check(plain);
if errors < min_errors {
min_errors = errors;
if errors == 0 {
break;
}
}
// Update m[][] from e[][]
for i in 0..FTX_LDPC_N {
for ji1 in 0..3 {
let j1 = FTX_LDPC_MN[i][ji1] as usize - 1;
let mut l = codeword[i];
for ji2 in 0..3 {
if ji1 != ji2 {
let j2 = FTX_LDPC_MN[i][ji2] as usize - 1;
l += e_matrix[j2 * FTX_LDPC_N + i];
}
}
m_matrix[j1 * FTX_LDPC_N + i] = l;
}
}
}
min_errors
}
/// Belief-propagation LDPC decoder.
///
/// `codeword` contains 174 log-likelihood ratios. `plain` receives the
/// decoded 174-bit hard decisions (0 or 1). `max_iters` controls how many
/// iterations to attempt.
///
/// Returns the number of remaining parity errors (0 = success).
pub fn bp_decode(
codeword: &[f32; FTX_LDPC_N],
max_iters: usize,
plain: &mut [u8; FTX_LDPC_N],
) -> i32 {
let mut tov = [[0.0f32; 3]; FTX_LDPC_N];
let mut toc = [[0.0f32; 7]; FTX_LDPC_M];
let mut min_errors = FTX_LDPC_M as i32;
for _iter in 0..max_iters {
// Hard decision guess (tov=0 in iter 0)
let mut plain_sum = 0u32;
for n in 0..FTX_LDPC_N {
let sum = codeword[n] + tov[n][0] + tov[n][1] + tov[n][2];
plain[n] = if sum > 0.0 { 1 } else { 0 };
plain_sum += plain[n] as u32;
}
if plain_sum == 0 {
// Message converged to all-zeros, which is prohibited.
break;
}
let errors = ldpc_check(plain);
if errors < min_errors {
min_errors = errors;
if errors == 0 {
break;
}
}
// Send messages from bits to check nodes
for m in 0..FTX_LDPC_M {
let num_rows = FTX_LDPC_NUM_ROWS[m] as usize;
for n_idx in 0..num_rows {
let n = FTX_LDPC_NM[m][n_idx] as usize - 1;
let mut tnm = codeword[n];
for m_idx in 0..3 {
if (FTX_LDPC_MN[n][m_idx] as usize - 1) != m {
tnm += tov[n][m_idx];
}
}
toc[m][n_idx] = fast_tanh(-tnm / 2.0);
}
}
// Send messages from check nodes to variable nodes
for n in 0..FTX_LDPC_N {
for m_idx in 0..3 {
let m = FTX_LDPC_MN[n][m_idx] as usize - 1;
let num_rows = FTX_LDPC_NUM_ROWS[m] as usize;
let mut tmn = 1.0f32;
for n_idx in 0..num_rows {
if (FTX_LDPC_NM[m][n_idx] as usize - 1) != n {
tmn *= toc[m][n_idx];
}
}
tov[n][m_idx] = -2.0 * fast_atanh(tmn);
}
}
}
min_errors
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_fast_tanh_clamp() {
assert_eq!(fast_tanh(-5.0), -1.0);
assert_eq!(fast_tanh(5.0), 1.0);
}
#[test]
fn test_fast_tanh_zero() {
assert!((fast_tanh(0.0)).abs() < 1e-6);
}
#[test]
fn test_fast_tanh_approximation() {
for &x in &[-3.0f32, -1.0, -0.5, 0.5, 1.0, 3.0] {
let approx = fast_tanh(x);
let exact = x.tanh();
assert!(
(approx - exact).abs() < 0.01,
"fast_tanh({}) = {}, expected ~{}",
x,
approx,
exact
);
}
}
#[test]
fn test_fast_atanh_zero() {
assert!((fast_atanh(0.0)).abs() < 1e-6);
}
#[test]
fn test_fast_atanh_approximation() {
for &x in &[-0.5f32, -0.25, 0.25, 0.5] {
let approx = fast_atanh(x);
let exact = x.atanh();
assert!(
(approx - exact).abs() < 0.05,
"fast_atanh({}) = {}, expected ~{}",
x,
approx,
exact
);
}
}
#[test]
fn test_ldpc_check_all_zeros() {
// All-zero codeword should pass all parity checks.
let codeword = [0u8; FTX_LDPC_N];
assert_eq!(ldpc_check(&codeword), 0);
}
#[test]
fn test_ldpc_check_single_bit_error() {
// Flipping one bit should cause parity errors.
let mut codeword = [0u8; FTX_LDPC_N];
codeword[0] = 1;
assert!(ldpc_check(&codeword) > 0);
}
#[test]
fn test_ldpc_decode_all_zeros() {
// Negative LLRs → hard decision 0 for all bits.
// The all-zeros codeword satisfies all LDPC parity checks.
let mut codeword = [-10.0f32; FTX_LDPC_N];
let mut plain = [0u8; FTX_LDPC_N];
let errors = ldpc_decode(&mut codeword, 20, &mut plain);
assert_eq!(errors, 0);
assert!(plain.iter().all(|&b| b == 0));
}
#[test]
fn test_bp_decode_all_ones() {
// Positive LLRs → hard decision 1 for all bits.
// All-ones is not a valid codeword, so bp_decode should report errors.
let codeword = [10.0f32; FTX_LDPC_N];
let mut plain = [0u8; FTX_LDPC_N];
let errors = bp_decode(&codeword, 20, &mut plain);
assert!(errors > 0);
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Common types, constants, and shared functions used across all FTx protocols.
pub mod callsign_hash;
pub mod constants;
pub mod crc;
pub mod decode;
pub mod encode;
pub mod ldpc;
pub mod message;
pub mod monitor;
pub mod osd;
pub mod protocol;
pub mod text;
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Windowed FFT waterfall/spectrogram engine for FTx decoding.
//!
//! Replaces `monitor.c` from ft8_lib, using `realfft`/`rustfft` instead of KissFFT.
use num_complex::Complex32;
use realfft::RealFftPlanner;
use super::protocol::FtxProtocol;
/// Waterfall element storing magnitude (dB), phase (radians), and raw complex components.
#[derive(Clone, Copy, Default)]
pub struct WfElem {
pub mag: f32,
pub phase: f32,
pub re: f32,
pub im: f32,
}
impl WfElem {
pub fn mag_int(self) -> i32 {
(2.0 * (self.mag + 120.0)) as i32
}
}
/// Waterfall data collected during a message slot.
pub struct Waterfall {
pub max_blocks: usize,
pub num_blocks: usize,
pub num_bins: usize,
pub time_osr: usize,
pub freq_osr: usize,
pub mag: Vec<WfElem>,
pub block_stride: usize,
pub protocol: FtxProtocol,
}
impl Waterfall {
pub fn new(
max_blocks: usize,
num_bins: usize,
time_osr: usize,
freq_osr: usize,
protocol: FtxProtocol,
) -> Self {
let block_stride = time_osr * freq_osr * num_bins;
let mag = vec![WfElem::default(); max_blocks * block_stride];
Self {
max_blocks,
num_blocks: 0,
num_bins,
time_osr,
freq_osr,
mag,
block_stride,
protocol,
}
}
pub fn reset(&mut self) {
self.num_blocks = 0;
}
}
/// Monitor configuration.
pub struct MonitorConfig {
pub f_min: f32,
pub f_max: f32,
pub sample_rate: i32,
pub time_osr: i32,
pub freq_osr: i32,
pub protocol: FtxProtocol,
}
/// FTx monitor that manages DSP processing and prepares waterfall data.
pub struct Monitor {
pub symbol_period: f32,
pub min_bin: usize,
pub max_bin: usize,
pub block_size: usize,
pub subblock_size: usize,
pub nfft: usize,
pub fft_norm: f32,
window: Vec<f32>,
last_frame: Vec<f32>,
pub wf: Waterfall,
pub max_mag: f32,
// FFT planners/scratch
fft_scratch: Vec<Complex32>,
fft_output: Vec<Complex32>,
fft_input: Vec<f32>,
real_fft: std::sync::Arc<dyn realfft::RealToComplex<f32>>,
}
fn hann_i(i: usize, n: usize) -> f32 {
let x = (std::f32::consts::PI * i as f32 / n as f32).sin();
x * x
}
impl Monitor {
pub fn new(cfg: &MonitorConfig) -> Self {
let symbol_period = cfg.protocol.symbol_period();
let slot_time = cfg.protocol.slot_time();
let block_size = (cfg.sample_rate as f32 * symbol_period) as usize;
let subblock_size = block_size / cfg.time_osr as usize;
let nfft = block_size * cfg.freq_osr as usize;
let fft_norm = 2.0 / nfft as f32;
let window: Vec<f32> = (0..nfft).map(|i| fft_norm * hann_i(i, nfft)).collect();
let last_frame = vec![0.0f32; nfft];
let min_bin = (cfg.f_min * symbol_period) as usize;
let max_bin = (cfg.f_max * symbol_period) as usize + 1;
let num_bins = max_bin - min_bin;
let max_blocks = (slot_time / symbol_period) as usize;
let wf = Waterfall::new(
max_blocks,
num_bins,
cfg.time_osr as usize,
cfg.freq_osr as usize,
cfg.protocol,
);
let mut real_planner = RealFftPlanner::<f32>::new();
let real_fft = real_planner.plan_fft_forward(nfft);
let fft_scratch = real_fft.make_scratch_vec();
let fft_output = real_fft.make_output_vec();
let fft_input = real_fft.make_input_vec();
Self {
symbol_period,
min_bin,
max_bin,
block_size,
subblock_size,
nfft,
fft_norm,
window,
last_frame,
wf,
max_mag: -120.0,
fft_scratch,
fft_output,
fft_input,
real_fft,
}
}
pub fn reset(&mut self) {
self.wf.reset();
self.max_mag = -120.0;
self.last_frame.fill(0.0);
}
/// Process one block of audio samples and update the waterfall.
pub fn process(&mut self, frame: &[f32]) {
if self.wf.num_blocks >= self.wf.max_blocks {
return;
}
let mut offset = self.wf.num_blocks * self.wf.block_stride;
let mut frame_pos = 0;
for _time_sub in 0..self.wf.time_osr {
// Shift new data into analysis frame
let shift = self.nfft - self.subblock_size;
self.last_frame
.copy_within(self.subblock_size..self.nfft, 0);
for pos in shift..self.nfft {
self.last_frame[pos] = if frame_pos < frame.len() {
frame[frame_pos]
} else {
0.0
};
frame_pos += 1;
}
// Windowed FFT
self.fft_input
.iter_mut()
.zip(self.window.iter().zip(self.last_frame.iter()))
.for_each(|(dst, (w, f))| *dst = w * f);
self.real_fft
.process_with_scratch(
&mut self.fft_input,
&mut self.fft_output,
&mut self.fft_scratch,
)
.expect("FFT process failed");
// Extract magnitude and phase for each frequency sub-bin
for freq_sub in 0..self.wf.freq_osr {
for bin in self.min_bin..self.max_bin {
let src_bin = bin * self.wf.freq_osr + freq_sub;
if src_bin < self.fft_output.len() {
let c = self.fft_output[src_bin];
let mag2 = c.re * c.re + c.im * c.im;
let db = 10.0 * (1e-12_f32 + mag2).log10();
let phase = c.im.atan2(c.re);
if offset < self.wf.mag.len() {
self.wf.mag[offset] = WfElem {
mag: db,
phase,
re: c.re,
im: c.im,
};
}
offset += 1;
if db > self.max_mag {
self.max_mag = db;
}
} else {
if offset < self.wf.mag.len() {
self.wf.mag[offset] = WfElem {
mag: -120.0,
phase: 0.0,
re: 0.0,
im: 0.0,
};
}
offset += 1;
}
}
}
}
self.wf.num_blocks += 1;
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn monitor_block_size_ft8() {
let cfg = MonitorConfig {
f_min: 200.0,
f_max: 3000.0,
sample_rate: 12000,
time_osr: 2,
freq_osr: 2,
protocol: FtxProtocol::Ft8,
};
let mon = Monitor::new(&cfg);
assert_eq!(mon.block_size, 1920); // 12000 * 0.160
}
#[test]
fn monitor_block_size_ft4() {
let cfg = MonitorConfig {
f_min: 200.0,
f_max: 3000.0,
sample_rate: 12000,
time_osr: 2,
freq_osr: 2,
protocol: FtxProtocol::Ft4,
};
let mon = Monitor::new(&cfg);
assert_eq!(mon.block_size, 576); // 12000 * 0.048
}
#[cfg(feature = "ft2")]
#[test]
fn monitor_block_size_ft2() {
let cfg = MonitorConfig {
f_min: 200.0,
f_max: 5000.0,
sample_rate: 12000,
time_osr: 8,
freq_osr: 4,
protocol: FtxProtocol::Ft2,
};
let mon = Monitor::new(&cfg);
assert_eq!(mon.block_size, 288); // 12000 * 0.024
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! OSD-1/OSD-2 CRC-guided bit-flip decoder for the (174,91) LDPC code.
//!
//! This is a port of `ft2_ldpc.c` which implements Ordered Statistics Decoding
//! with configurable depth (ndeep 0-6). The decoder first runs iterative
//! belief-propagation (BP), then falls back to OSD refinement using the
//! accumulated LLR sums from BP iterations.
//!
//! The OSD algorithm works by:
//! 1. Sorting codeword bits by LLR reliability
//! 2. Gaussian elimination to put the generator matrix in systematic form
//! (with respect to the most reliable bits)
//! 3. Exhaustive search over bit-flip patterns of increasing weight
//! 4. Pattern hashing (OSD-2) to efficiently search two-bit-flip corrections
use std::sync::OnceLock;
use super::constants::{FTX_LDPC_GENERATOR, FTX_LDPC_MN, FTX_LDPC_NM, FTX_LDPC_NUM_ROWS};
use super::crc::{ftx_compute_crc, ftx_extract_crc};
use super::decode::pack_bits;
use super::encode::parity8;
use super::ldpc::ldpc_check;
use super::protocol::{FTX_LDPC_K, FTX_LDPC_K_BYTES, FTX_LDPC_M, FTX_LDPC_N};
/// Piecewise linear approximation of `atanh(x)` used in BP message passing.
fn platanh(x: f32) -> f32 {
let isign: f32 = if x < 0.0 { -1.0 } else { 1.0 };
let z = x.abs();
if z <= 0.664 {
return x / 0.83;
}
if z <= 0.9217 {
return isign * ((z - 0.4064) / 0.322);
}
if z <= 0.9951 {
return isign * ((z - 0.8378) / 0.0524);
}
if z <= 0.9998 {
return isign * ((z - 0.9914) / 0.0012);
}
isign * 7.0
}
/// Check CRC of a 91-bit message (in bit array form).
fn check_crc91(plain91: &[u8]) -> bool {
let mut a91 = [0u8; FTX_LDPC_K_BYTES];
pack_bits(plain91, FTX_LDPC_K, &mut a91);
let crc_extracted = ftx_extract_crc(&a91);
a91[9] &= 0xF8;
a91[10] = 0x00;
let crc_calculated = ftx_compute_crc(&a91, 96 - 14);
crc_extracted == crc_calculated
}
/// Encode a 91-bit message (bit array) into a 174-bit codeword without CRC computation.
fn encode174_91_nocrc_bits(message91: &[u8], codeword: &mut [u8; FTX_LDPC_N]) {
let mut packed = [0u8; FTX_LDPC_K_BYTES];
pack_bits(message91, FTX_LDPC_K, &mut packed);
// Systematic bits
for i in 0..FTX_LDPC_K {
codeword[i] = message91[i] & 0x01;
}
// Parity bits from generator matrix
for i in 0..FTX_LDPC_M {
let mut nsum: u8 = 0;
for j in 0..FTX_LDPC_K_BYTES {
nsum ^= parity8(packed[j] & FTX_LDPC_GENERATOR[i][j]);
}
codeword[FTX_LDPC_K + i] = nsum & 0x01;
}
}
/// Matrix-vector multiply for re-encoding in OSD.
fn mrbencode91(me: &[u8], codeword: &mut [u8], g2: &[u8], n: usize, k: usize) {
codeword[..n].fill(0);
for i in 0..k {
if me[i] == 0 {
continue;
}
codeword[..n]
.iter_mut()
.enumerate()
.for_each(|(j, c)| *c ^= g2[j * k + i]);
}
}
/// Generate next bit-flip pattern of given order.
fn nextpat91(mi: &mut [u8], k: usize, iorder: usize, iflag: &mut i32) {
let mut ind: i32 = -1;
for i in 0..k.saturating_sub(1) {
if mi[i] == 0 && mi[i + 1] == 1 {
ind = i as i32;
}
}
if ind < 0 {
*iflag = -1;
return;
}
// Build new pattern in-place: zero out after ind, set the swap, pack remaining 1s at end
let ind_u = ind as usize;
mi[(ind_u + 1)..k].fill(0);
mi[ind_u] = 1;
let mut nz = iorder as i32;
for &v in mi.iter().take(k) {
nz -= v as i32;
}
if nz > 0 {
mi[(k - nz as usize)..k].fill(1);
}
*iflag = -1;
for (i, &v) in mi.iter().enumerate().take(k) {
if v == 1 {
*iflag = i as i32;
break;
}
}
}
/// Pattern hash table for OSD-2 optimization.
struct OsdBox {
head: Vec<i32>,
next: Vec<i32>,
pairs: Vec<[i32; 2]>,
capacity: usize,
count: usize,
last_pattern: i32,
next_index: i32,
}
impl OsdBox {
fn new(ntau: usize) -> Option<Self> {
let size = 1 << ntau;
let capacity = 5000;
Some(Self {
head: vec![-1; size],
next: vec![-1; capacity],
pairs: vec![[-1, -1]; capacity],
capacity,
count: 0,
last_pattern: -1,
next_index: -1,
})
}
fn boxit(&mut self, e2: &[u8], ntau: usize, i1: i32, i2: i32) {
if self.count >= self.capacity {
return;
}
let idx = self.count;
self.count += 1;
self.pairs[idx] = [i1, i2];
let ipat = pattern_hash(e2, ntau);
let ip = self.head[ipat];
if ip == -1 {
self.head[ipat] = idx as i32;
} else {
let mut cur = ip;
while self.next[cur as usize] != -1 {
cur = self.next[cur as usize];
}
self.next[cur as usize] = idx as i32;
}
}
fn fetchit(&mut self, e2: &[u8], ntau: usize) -> (i32, i32) {
let ipat = pattern_hash(e2, ntau);
let index = self.head[ipat];
if self.last_pattern != ipat as i32 && index >= 0 {
let i1 = self.pairs[index as usize][0];
let i2 = self.pairs[index as usize][1];
self.next_index = self.next[index as usize];
self.last_pattern = ipat as i32;
(i1, i2)
} else if self.last_pattern == ipat as i32 && self.next_index >= 0 {
let ni = self.next_index as usize;
let i1 = self.pairs[ni][0];
let i2 = self.pairs[ni][1];
self.next_index = self.next[ni];
(i1, i2)
} else {
self.next_index = -1;
self.last_pattern = ipat as i32;
(-1, -1)
}
}
}
/// Compute hash of a bit pattern for OSD-2 lookup.
fn pattern_hash(e2: &[u8], ntau: usize) -> usize {
let mut ipat = 0usize;
for (i, &v) in e2.iter().enumerate().take(ntau) {
if v != 0 {
ipat |= 1 << (ntau - i - 1);
}
}
ipat
}
/// Ordered Statistics Decoding with configurable depth.
///
/// `llr`: log-likelihood ratios for 174 bits (modified internally).
/// `k`: number of systematic bits (91).
/// `apmask`: a priori mask (which bits are known).
/// `ndeep`: search depth (0-6).
/// `message91`: output 91-bit message.
/// `cw`: output 174-bit codeword.
/// `nhardmin`: output minimum hard errors.
/// `dmin`: output minimum distance.
#[allow(clippy::too_many_arguments)]
pub fn osd174_91(
llr: &mut [f32; FTX_LDPC_N],
k: usize,
apmask: &[u8; FTX_LDPC_N],
ndeep: usize,
message91: &mut [u8; FTX_LDPC_K],
cw: &mut [u8; FTX_LDPC_N],
nhardmin: &mut i32,
dmin: &mut f32,
) {
let n = FTX_LDPC_N;
let ndeep = ndeep.min(6);
// Cached per-bit generator matrix (each row i generates codeword from
// unit vector e_i)
let gen = generator_matrix();
// Stack-allocated working buffers (k=91, n=174, n-k=83).
let mut genmrb = [0u8; FTX_LDPC_K * FTX_LDPC_N];
let mut g2 = [0u8; FTX_LDPC_N * FTX_LDPC_K];
let mut m0 = [0u8; FTX_LDPC_K];
let mut me = [0u8; FTX_LDPC_K];
let mut mi = [0u8; FTX_LDPC_K];
let mut misub = [0u8; FTX_LDPC_K];
let mut e2sub = [0u8; FTX_LDPC_M];
let mut e2 = [0u8; FTX_LDPC_M];
let mut ui = [0u8; FTX_LDPC_M];
let mut r2pat = [0u8; FTX_LDPC_M];
let mut hdec = [0u8; FTX_LDPC_N];
let mut c0 = [0u8; FTX_LDPC_N];
let mut ce = [0u8; FTX_LDPC_N];
let mut nxor = [0u8; FTX_LDPC_N];
let mut apmaskr = [0u8; FTX_LDPC_N];
let mut rx = [0.0f32; FTX_LDPC_N];
let mut absrx = [0.0f32; FTX_LDPC_N];
let mut indices = [0usize; FTX_LDPC_N];
// Sort bits by reliability (descending)
let mut rel_indices = [0usize; FTX_LDPC_N];
let mut rel_abs = [0.0f32; FTX_LDPC_N];
for i in 0..n {
rel_indices[i] = i;
rel_abs[i] = llr[i].abs();
}
rel_indices[..n].sort_by(|&a, &b| {
rel_abs[b]
.partial_cmp(&rel_abs[a])
.unwrap_or(std::cmp::Ordering::Equal)
});
for i in 0..n {
rx[i] = llr[i];
apmaskr[i] = apmask[i];
hdec[i] = if rx[i] >= 0.0 { 1 } else { 0 };
absrx[i] = rx[i].abs();
}
// Reorder by reliability
for i in 0..n {
indices[i] = rel_indices[i];
for row in 0..k {
genmrb[row * n + i] = gen[row][indices[i]];
}
}
// Gaussian elimination to systematic form
for id in 0..k {
let max_col = (k + 20).min(n);
for col in id..max_col {
if genmrb[id * n + col] == 0 {
continue;
}
// Swap columns id and col
if col != id {
for row in 0..k {
genmrb.swap(row * n + id, row * n + col);
}
indices.swap(id, col);
}
// Eliminate column id from all other rows
for row in 0..k {
if row != id && genmrb[row * n + id] == 1 {
for c in 0..n {
genmrb[row * n + c] ^= genmrb[id * n + c];
}
}
}
break;
}
}
// Transpose to column-major g2
for row in 0..k {
for col in 0..n {
g2[col * k + row] = genmrb[row * n + col];
}
}
// Reorder LLRs and hard decisions by reliability
for i in 0..n {
hdec[i] = if rx[indices[i]] >= 0.0 { 1 } else { 0 };
absrx[i] = rx[indices[i]].abs();
rx[i] = llr[indices[i]];
apmaskr[i] = apmask[indices[i]];
}
m0[..k].copy_from_slice(&hdec[..k]);
// Initial encode
mrbencode91(&m0, &mut c0, &g2, n, k);
for i in 0..n {
nxor[i] = c0[i] ^ hdec[i];
}
*nhardmin = 0;
*dmin = 0.0;
for i in 0..n {
*nhardmin += nxor[i] as i32;
if nxor[i] != 0 {
*dmin += absrx[i];
}
}
cw.copy_from_slice(&c0[..n]);
if ndeep == 0 {
reorder_result(cw, &indices, message91, nhardmin, dmin, llr);
return;
}
// Configure search parameters based on depth
let (nord, npre1, npre2, nt, ntheta, ntau) = match ndeep {
1 => (1, 0, 0, 40, 12, 0),
2 => (1, 1, 0, 40, 10, 0),
3 => (1, 1, 1, 40, 12, 14),
4 => (2, 1, 1, 40, 12, 17),
5 => (3, 1, 1, 40, 12, 15),
_ => (4, 1, 1, 95, 12, 15),
};
// OSD-1: exhaustive search over bit patterns of increasing order
for iorder in 1..=nord {
misub.iter_mut().for_each(|v| *v = 0);
misub[(k - iorder)..k].fill(1);
let mut iflag = (k - iorder) as i32;
while iflag >= 0 {
let iend = if iorder == nord && npre1 == 0 {
iflag as usize
} else {
0
};
let mut d1 = 0.0f32;
let mut n1 = iflag;
while n1 >= iend as i32 {
mi[..k].copy_from_slice(&misub[..k]);
mi[n1 as usize] = 1;
// Check if any masked bit would be flipped
let masked = (0..k).any(|i| apmaskr[i] != 0 && mi[i] != 0);
if masked {
n1 -= 1;
continue;
}
for i in 0..k {
me[i] = m0[i] ^ mi[i];
}
if n1 == iflag {
mrbencode91(&me, &mut ce, &g2, n, k);
for i in 0..(n - k) {
e2sub[i] = ce[k + i] ^ hdec[k + i];
e2[i] = e2sub[i];
}
let mut nd1kpt = 1;
for &v in e2sub.iter().take(nt.min(n - k)) {
nd1kpt += v as i32;
}
d1 = 0.0;
for i in 0..k {
if (me[i] ^ hdec[i]) != 0 {
d1 += absrx[i];
}
}
if nd1kpt <= ntheta {
let mut dd = d1;
for i in 0..(n - k) {
if e2sub[i] != 0 {
dd += absrx[k + i];
}
}
if dd < *dmin {
*dmin = dd;
cw[..n].copy_from_slice(&ce[..n]);
*nhardmin = 0;
for i in 0..n {
*nhardmin += (ce[i] ^ hdec[i]) as i32;
}
}
}
} else {
for i in 0..(n - k) {
e2[i] = e2sub[i] ^ g2[(k + i) * k + n1 as usize];
}
let mut nd1kpt = 2;
for &v in e2.iter().take(nt.min(n - k)) {
nd1kpt += v as i32;
}
if nd1kpt <= ntheta {
mrbencode91(&me, &mut ce, &g2, n, k);
let mut dd = d1
+ if (ce[n1 as usize] ^ hdec[n1 as usize]) != 0 {
absrx[n1 as usize]
} else {
0.0
};
for i in 0..(n - k) {
if e2[i] != 0 {
dd += absrx[k + i];
}
}
if dd < *dmin {
*dmin = dd;
cw[..n].copy_from_slice(&ce[..n]);
*nhardmin = 0;
for i in 0..n {
*nhardmin += (ce[i] ^ hdec[i]) as i32;
}
}
}
}
n1 -= 1;
}
nextpat91(&mut misub, k, iorder, &mut iflag);
}
}
// OSD-2: pattern-hashed two-bit-flip search
if npre2 == 1 {
if let Some(mut osd_box) = OsdBox::new(ntau) {
// Build hash table of all column pairs
for i1 in (0..k as i32).rev() {
for i2 in (0..i1).rev() {
for i in 0..ntau {
mi[i] = g2[(k + i) * k + i1 as usize] ^ g2[(k + i) * k + i2 as usize];
}
osd_box.boxit(&mi, ntau, i1, i2);
}
}
// Search using base patterns
misub.iter_mut().for_each(|v| *v = 0);
misub[(k - nord)..k].fill(1);
let mut iflag = (k - nord) as i32;
while iflag >= 0 {
for i in 0..k {
me[i] = m0[i] ^ misub[i];
}
mrbencode91(&me, &mut ce, &g2, n, k);
for i in 0..(n - k) {
e2sub[i] = ce[k + i] ^ hdec[k + i];
}
for i2 in 0..=ntau {
ui.iter_mut().for_each(|v| *v = 0);
if i2 > 0 {
ui[i2 - 1] = 1;
}
for i in 0..ntau {
r2pat[i] = e2sub[i] ^ ui[i];
}
osd_box.last_pattern = -1;
osd_box.next_index = -1;
loop {
let (in1, in2) = osd_box.fetchit(&r2pat, ntau);
if in1 < 0 || in2 < 0 {
break;
}
mi[..k].copy_from_slice(&misub[..k]);
mi[in1 as usize] = 1;
mi[in2 as usize] = 1;
let mut w = 0;
let mut masked = false;
for i in 0..k {
w += mi[i] as usize;
if apmaskr[i] != 0 && mi[i] != 0 {
masked = true;
}
}
if w < nord + npre1 + npre2 || masked {
continue;
}
for i in 0..k {
me[i] = m0[i] ^ mi[i];
}
mrbencode91(&me, &mut ce, &g2, n, k);
let mut dd = 0.0f32;
let mut nh = 0i32;
for i in 0..n {
let diff = ce[i] ^ hdec[i];
nh += diff as i32;
if diff != 0 {
dd += absrx[i];
}
}
if dd < *dmin {
*dmin = dd;
cw[..n].copy_from_slice(&ce[..n]);
*nhardmin = nh;
}
}
}
nextpat91(&mut misub, k, nord, &mut iflag);
}
}
}
reorder_result(cw, &indices, message91, nhardmin, dmin, llr);
}
/// Reorder codeword back to original bit ordering and verify CRC.
fn reorder_result(
cw: &mut [u8; FTX_LDPC_N],
indices: &[usize],
message91: &mut [u8; FTX_LDPC_K],
nhardmin: &mut i32,
_dmin: &mut f32,
_llr: &[f32; FTX_LDPC_N],
) {
let mut reordered = [0u8; FTX_LDPC_N];
for i in 0..FTX_LDPC_N {
reordered[indices[i]] = cw[i];
}
cw.copy_from_slice(&reordered);
message91.copy_from_slice(&cw[..FTX_LDPC_K]);
if !check_crc91(message91) {
*nhardmin = -*nhardmin;
}
}
/// Get a reference to the cached generator matrix.
/// The matrix is computed once on first call and reused thereafter.
fn generator_matrix() -> &'static [[u8; FTX_LDPC_N]; FTX_LDPC_K] {
static GEN: OnceLock<Box<[[u8; FTX_LDPC_N]; FTX_LDPC_K]>> = OnceLock::new();
GEN.get_or_init(|| {
let mut gen = Box::new([[0u8; FTX_LDPC_N]; FTX_LDPC_K]);
for i in 0..FTX_LDPC_K {
let mut msg = [0u8; FTX_LDPC_K];
msg[i] = 1;
if i < 77 {
msg[77..FTX_LDPC_K].fill(0);
}
encode174_91_nocrc_bits(&msg, &mut gen[i]);
}
gen
})
}
/// Full iterative BP decoder with OSD refinement.
///
/// Runs belief-propagation for up to `maxiterations` iterations, saving
/// accumulated LLR sums. If BP does not converge, falls back to OSD
/// using the saved sums.
///
/// `llr`: input log-likelihood ratios (174 values).
/// `keff`: effective K (must be 91).
/// `maxosd`: maximum number of OSD passes (0-3).
/// `norder`: OSD depth parameter.
/// `apmask`: a priori mask.
/// `message91`: output decoded 91-bit message.
/// `cw`: output 174-bit codeword.
/// `ntype`: output decode type (0=fail, 1=BP, 2=OSD).
/// `nharderror`: output number of hard errors.
/// `dmin`: output minimum distance.
#[allow(clippy::too_many_arguments)]
pub fn ft2_decode174_91_osd(
llr: &mut [f32; FTX_LDPC_N],
keff: usize,
maxosd: usize,
norder: usize,
apmask: &mut [u8; FTX_LDPC_N],
message91: &mut [u8; FTX_LDPC_K],
cw: &mut [u8; FTX_LDPC_N],
ntype: &mut i32,
nharderror: &mut i32,
dmin: &mut f32,
) {
*ntype = 0;
*nharderror = -1;
*dmin = 0.0;
if keff != FTX_LDPC_K {
return;
}
let maxiterations = 30;
let maxosd = maxosd.min(3);
let nosd = if maxosd == 0 { 1 } else { maxosd };
let mut zsave = [[0.0f32; FTX_LDPC_N]; 3];
if maxosd == 0 {
zsave[0].copy_from_slice(llr);
}
let mut tov = [[0.0f32; 3]; FTX_LDPC_N];
let mut toc = [[0.0f32; 7]; FTX_LDPC_M];
let mut zsum = [0.0f32; FTX_LDPC_N];
let mut hdec = [0u8; FTX_LDPC_N];
let mut best_cw = [0u8; FTX_LDPC_N];
let mut ncnt = 0;
let mut nclast = 0;
for iter in 0..=maxiterations {
// Compute beliefs
let mut zn = [0.0f32; FTX_LDPC_N];
for i in 0..FTX_LDPC_N {
zn[i] = llr[i];
if apmask[i] != 1 {
zn[i] += tov[i][0] + tov[i][1] + tov[i][2];
}
zsum[i] += zn[i];
}
if iter > 0 && iter <= maxosd {
zsave[iter - 1].copy_from_slice(&zsum);
}
// Hard decisions
for i in 0..FTX_LDPC_N {
best_cw[i] = if zn[i] > 0.0 { 1 } else { 0 };
}
let ncheck = ldpc_check(&best_cw);
if ncheck == 0 && check_crc91(&best_cw) {
message91.copy_from_slice(&best_cw[..FTX_LDPC_K]);
cw.copy_from_slice(&best_cw);
for i in 0..FTX_LDPC_N {
hdec[i] = if llr[i] >= 0.0 { 1 } else { 0 };
}
*nharderror = 0;
*dmin = 0.0;
for i in 0..FTX_LDPC_N {
let diff = hdec[i] ^ best_cw[i];
*nharderror += diff as i32;
if diff != 0 {
*dmin += llr[i].abs();
}
}
*ntype = 1;
return;
}
// Early termination
if iter > 0 {
let nd = ncheck - nclast;
ncnt = if nd < 0 { 0 } else { ncnt + 1 };
if ncnt >= 5 && iter >= 10 && ncheck > 15 {
*nharderror = -1;
break;
}
}
nclast = ncheck;
// Check-to-variable messages
for m in 0..FTX_LDPC_M {
let num_rows = FTX_LDPC_NUM_ROWS[m] as usize;
for n_idx in 0..num_rows {
let n = FTX_LDPC_NM[m][n_idx] as usize - 1;
if n >= FTX_LDPC_N {
continue;
}
toc[m][n_idx] = zn[n];
for kk in 0..3 {
if (FTX_LDPC_MN[n][kk] as usize).wrapping_sub(1) == m {
toc[m][n_idx] -= tov[n][kk];
}
}
}
}
// Variable-to-check messages
for m in 0..FTX_LDPC_M {
let num_rows = FTX_LDPC_NUM_ROWS[m] as usize;
let mut tanhtoc = [0.0f32; 7];
for i in 0..num_rows.min(7) {
tanhtoc[i] = (-toc[m][i] / 2.0).tanh();
}
for &nm_val in FTX_LDPC_NM[m].iter().take(num_rows) {
let n = nm_val as usize - 1;
if n >= FTX_LDPC_N {
continue;
}
let mut tmn = 1.0f32;
for n_idx in 0..num_rows {
if FTX_LDPC_NM[m][n_idx] as usize - 1 != n {
tmn *= tanhtoc[n_idx];
}
}
for kk in 0..3 {
if (FTX_LDPC_MN[n][kk] as usize).wrapping_sub(1) == m {
tov[n][kk] = 2.0 * platanh(-tmn);
}
}
}
}
}
// OSD fallback
for i in 0..nosd {
if i >= zsave.len() {
break;
}
let mut osd_llr = [0.0f32; FTX_LDPC_N];
osd_llr.copy_from_slice(&zsave[i]);
let mut osd_harderror: i32 = -1;
let mut osd_dmin: f32 = 0.0;
osd174_91(
&mut osd_llr,
keff,
apmask,
norder,
message91,
cw,
&mut osd_harderror,
&mut osd_dmin,
);
if osd_harderror > 0 {
*nharderror = osd_harderror;
*dmin = 0.0;
for j in 0..FTX_LDPC_N {
hdec[j] = if llr[j] >= 0.0 { 1 } else { 0 };
if (hdec[j] ^ cw[j]) != 0 {
*dmin += llr[j].abs();
}
}
*ntype = 2;
return;
}
}
*ntype = 0;
*nharderror = -1;
*dmin = 0.0;
}
#[cfg(test)]
mod tests {
use super::*;
use crate::common::ldpc::fast_atanh;
#[test]
fn ldpc_check_all_zeros() {
let cw = [0u8; FTX_LDPC_N];
assert_eq!(ldpc_check(&cw), 0);
}
#[test]
fn ldpc_check_single_bit_error() {
let mut cw = [0u8; FTX_LDPC_N];
cw[0] = 1;
assert!(ldpc_check(&cw) > 0);
}
#[test]
fn fast_atanh_zero() {
assert!(fast_atanh(0.0).abs() < 1e-6);
}
#[test]
fn fast_atanh_approximation() {
for &x in &[-0.5f32, -0.25, 0.25, 0.5] {
let approx = fast_atanh(x);
let exact = x.atanh();
assert!(
(approx - exact).abs() < 0.05,
"fast_atanh({}) = {}, expected ~{}",
x,
approx,
exact
);
}
}
#[test]
fn platanh_small() {
let result = platanh(0.5);
assert!(result > 0.0);
assert!(result.is_finite());
}
#[test]
fn platanh_large() {
let result = platanh(0.9999);
assert!(result > 0.0);
assert!(result.is_finite());
}
#[test]
fn platanh_negative() {
let pos = platanh(0.5);
let neg = platanh(-0.5);
assert!((pos + neg).abs() < 1e-6, "platanh should be odd");
}
#[test]
fn shared_pack_bits_basic() {
let mut bits = [0u8; FTX_LDPC_K];
bits[0] = 1;
bits[7] = 1;
let mut packed = [0u8; FTX_LDPC_K_BYTES];
pack_bits(&bits, FTX_LDPC_K, &mut packed);
assert_eq!(packed[0], 0x81);
}
#[test]
fn check_crc91_all_zeros() {
// All-zero message likely fails CRC
let bits = [0u8; FTX_LDPC_K];
// CRC check result depends on specific polynomial behavior
let _result = check_crc91(&bits);
// Just verify it doesn't panic
}
#[test]
fn shared_parity8_basic() {
assert_eq!(parity8(0x00), 0);
assert_eq!(parity8(0x01), 1);
assert_eq!(parity8(0x03), 0);
assert_eq!(parity8(0xFF), 0);
}
#[test]
fn pattern_hash_basic() {
let e2 = [1u8, 0, 1, 0];
assert_eq!(pattern_hash(&e2, 4), 0b1010);
}
#[test]
fn pattern_hash_all_zeros() {
let e2 = [0u8; 16];
assert_eq!(pattern_hash(&e2, 16), 0);
}
#[test]
fn nextpat91_basic() {
let k = 5;
let mut mi = vec![0u8; k];
mi[4] = 1;
let mut iflag = 4i32;
nextpat91(&mut mi, k, 1, &mut iflag);
// After one step, the pattern should shift
assert!(iflag >= -1);
}
#[test]
fn generator_matrix_row_zero() {
let gen = generator_matrix();
// Row 0 should encode unit vector e_0
assert_eq!(gen[0][0], 1);
// Some parity bits should be non-zero
let parity_nonzero = gen[0][FTX_LDPC_K..FTX_LDPC_N].iter().any(|&b| b != 0);
assert!(parity_nonzero);
}
#[test]
fn encode174_91_nocrc_all_zeros() {
let msg = [0u8; FTX_LDPC_K];
let mut cw = [0u8; FTX_LDPC_N];
encode174_91_nocrc_bits(&msg, &mut cw);
for &b in &cw {
assert_eq!(b, 0);
}
}
#[test]
fn osd_box_basic() {
let mut b = OsdBox::new(4).unwrap();
let pattern = [1u8, 0, 1, 0];
b.boxit(&pattern, 4, 5, 3);
let (i1, i2) = b.fetchit(&pattern, 4);
assert_eq!(i1, 5);
assert_eq!(i2, 3);
}
#[test]
fn osd_box_empty_fetch() {
let mut b = OsdBox::new(4).unwrap();
let pattern = [0u8; 4];
let (i1, i2) = b.fetchit(&pattern, 4);
assert_eq!(i1, -1);
assert_eq!(i2, -1);
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
/// FTx protocol variants.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum FtxProtocol {
Ft4,
Ft8,
#[cfg(feature = "ft2")]
Ft2,
}
impl FtxProtocol {
/// Symbol period in seconds.
pub fn symbol_period(self) -> f32 {
match self {
Self::Ft8 => FT8_SYMBOL_PERIOD,
Self::Ft4 => FT4_SYMBOL_PERIOD,
#[cfg(feature = "ft2")]
Self::Ft2 => FT2_SYMBOL_PERIOD,
}
}
/// Slot time in seconds.
pub fn slot_time(self) -> f32 {
match self {
Self::Ft8 => FT8_SLOT_TIME,
Self::Ft4 => FT4_SLOT_TIME,
#[cfg(feature = "ft2")]
Self::Ft2 => FT2_SLOT_TIME,
}
}
/// Whether this protocol uses FT4-style channel layout (FT4 and FT2).
pub fn uses_ft4_layout(self) -> bool {
#[cfg(feature = "ft2")]
if matches!(self, Self::Ft2) {
return true;
}
matches!(self, Self::Ft4)
}
/// Number of data symbols.
pub fn nd(self) -> usize {
if self.uses_ft4_layout() {
FT4_ND
} else {
FT8_ND
}
}
/// Total channel symbols.
pub fn nn(self) -> usize {
if self.uses_ft4_layout() {
FT4_NN
} else {
FT8_NN
}
}
/// Length of each sync group.
pub fn sync_length(self) -> usize {
if self.uses_ft4_layout() {
FT4_LENGTH_SYNC
} else {
FT8_LENGTH_SYNC
}
}
/// Number of sync groups.
pub fn num_sync(self) -> usize {
if self.uses_ft4_layout() {
FT4_NUM_SYNC
} else {
FT8_NUM_SYNC
}
}
/// Offset between sync groups.
pub fn sync_offset(self) -> usize {
if self.uses_ft4_layout() {
FT4_SYNC_OFFSET
} else {
FT8_SYNC_OFFSET
}
}
/// Number of FSK tones.
pub fn num_tones(self) -> usize {
if self.uses_ft4_layout() {
4
} else {
8
}
}
}
// FT8 timing
pub const FT8_SYMBOL_PERIOD: f32 = 0.160;
pub const FT8_SLOT_TIME: f32 = 15.0;
// FT4 timing
pub const FT4_SYMBOL_PERIOD: f32 = 0.048;
pub const FT4_SLOT_TIME: f32 = 7.5;
// FT2 timing
#[cfg(feature = "ft2")]
pub const FT2_SYMBOL_PERIOD: f32 = 0.024;
#[cfg(feature = "ft2")]
pub const FT2_SLOT_TIME: f32 = 3.75;
// FT8 symbol counts
pub const FT8_ND: usize = 58;
pub const FT8_NN: usize = 79;
pub const FT8_LENGTH_SYNC: usize = 7;
pub const FT8_NUM_SYNC: usize = 3;
pub const FT8_SYNC_OFFSET: usize = 36;
// FT4 symbol counts
pub const FT4_ND: usize = 87;
pub const FT4_NR: usize = 2;
pub const FT4_NN: usize = 105;
pub const FT4_LENGTH_SYNC: usize = 4;
pub const FT4_NUM_SYNC: usize = 4;
pub const FT4_SYNC_OFFSET: usize = 33;
// FT2 reuses FT4 layout
#[cfg(feature = "ft2")]
pub const FT2_ND: usize = FT4_ND;
#[cfg(feature = "ft2")]
pub const FT2_NR: usize = FT4_NR;
#[cfg(feature = "ft2")]
pub const FT2_NN: usize = FT4_NN;
#[cfg(feature = "ft2")]
pub const FT2_LENGTH_SYNC: usize = FT4_LENGTH_SYNC;
#[cfg(feature = "ft2")]
pub const FT2_NUM_SYNC: usize = FT4_NUM_SYNC;
#[cfg(feature = "ft2")]
pub const FT2_SYNC_OFFSET: usize = FT4_SYNC_OFFSET;
// LDPC parameters
pub const FTX_LDPC_N: usize = 174;
pub const FTX_LDPC_K: usize = 91;
pub const FTX_LDPC_M: usize = 83;
pub const FTX_LDPC_N_BYTES: usize = FTX_LDPC_N.div_ceil(8);
pub const FTX_LDPC_K_BYTES: usize = FTX_LDPC_K.div_ceil(8);
// CRC parameters
pub const FT8_CRC_POLYNOMIAL: u16 = 0x2757;
pub const FT8_CRC_WIDTH: u32 = 14;
// Message parameters
pub const FTX_PAYLOAD_LENGTH_BYTES: usize = 10;
pub const FTX_MAX_MESSAGE_LENGTH: usize = 35;
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn protocol_timing() {
assert!((FtxProtocol::Ft8.symbol_period() - 0.160).abs() < 1e-6);
assert!((FtxProtocol::Ft4.symbol_period() - 0.048).abs() < 1e-6);
#[cfg(feature = "ft2")]
assert!((FtxProtocol::Ft2.symbol_period() - 0.024).abs() < 1e-6);
}
#[test]
fn ft4_layout() {
assert!(FtxProtocol::Ft4.uses_ft4_layout());
#[cfg(feature = "ft2")]
assert!(FtxProtocol::Ft2.uses_ft4_layout());
assert!(!FtxProtocol::Ft8.uses_ft4_layout());
}
#[test]
fn symbol_counts() {
assert_eq!(FtxProtocol::Ft8.nn(), 79);
assert_eq!(FtxProtocol::Ft4.nn(), 105);
#[cfg(feature = "ft2")]
assert_eq!(FtxProtocol::Ft2.nn(), 105);
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Character table lookup and string utility functions for FTx message
//! encoding/decoding.
//!
//! This is a pure Rust port of `ft8_lib/ft8/text.c`.
/// Character table variants used for encoding and decoding FTx messages.
///
/// Each variant defines a different subset of allowed characters.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum CharTable {
/// `" 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ+-./?"` (42 entries)
Full,
/// `" 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ/"` (38 entries)
AlphanumSpaceSlash,
/// `" 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"` (37 entries)
AlphanumSpace,
/// `" ABCDEFGHIJKLMNOPQRSTUVWXYZ"` (27 entries)
LettersSpace,
/// `"0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"` (36 entries)
Alphanum,
/// `"0123456789"` (10 entries)
Numeric,
}
/// Convert an integer index to an ASCII character according to the given
/// character table.
///
/// Returns `'_'` if the index is out of range (should not happen in normal
/// operation).
pub fn charn(mut c: i32, table: CharTable) -> char {
// Tables that include a leading space
if table != CharTable::Alphanum && table != CharTable::Numeric {
if c == 0 {
return ' ';
}
c -= 1;
}
// Digits (unless letters-space table which skips digits)
if table != CharTable::LettersSpace {
if c < 10 {
return char::from(b'0' + c as u8);
}
c -= 10;
}
// Letters (unless numeric table which has no letters)
if table != CharTable::Numeric {
if c < 26 {
return char::from(b'A' + c as u8);
}
c -= 26;
}
// Extra symbols
match table {
CharTable::Full => {
const EXTRAS: [char; 5] = ['+', '-', '.', '/', '?'];
if (c as usize) < EXTRAS.len() {
return EXTRAS[c as usize];
}
}
CharTable::AlphanumSpaceSlash => {
if c == 0 {
return '/';
}
}
_ => {}
}
'_' // unknown character — should never get here
}
/// Look up the index of an ASCII character in the given character table.
///
/// Returns `None` if the character is not present in the table (the C version
/// returns -1).
pub fn nchar(c: char, table: CharTable) -> Option<i32> {
let mut n: i32 = 0;
// Leading space
if table != CharTable::Alphanum && table != CharTable::Numeric {
if c == ' ' {
return Some(n);
}
n += 1;
}
// Digits
if table != CharTable::LettersSpace {
if c.is_ascii_digit() {
return Some(n + (c as i32 - '0' as i32));
}
n += 10;
}
// Letters
if table != CharTable::Numeric {
if c.is_ascii_uppercase() {
return Some(n + (c as i32 - 'A' as i32));
}
n += 26;
}
// Extra symbols
match table {
CharTable::Full => match c {
'+' => return Some(n),
'-' => return Some(n + 1),
'.' => return Some(n + 2),
'/' => return Some(n + 3),
'?' => return Some(n + 4),
_ => {}
},
CharTable::AlphanumSpaceSlash => {
if c == '/' {
return Some(n);
}
}
_ => {}
}
None
}
/// Convert a character to uppercase ASCII. Non-letter characters are returned
/// unchanged.
pub fn to_upper(c: char) -> char {
if c.is_ascii_lowercase() {
char::from(c as u8 - b'a' + b'A')
} else {
c
}
}
/// Format an FTx message string:
/// - replaces lowercase letters with uppercase
/// - collapses consecutive spaces into a single space
pub fn fmtmsg(msg_in: &str) -> String {
let mut out = String::with_capacity(msg_in.len());
let mut last_out: Option<char> = None;
for c in msg_in.chars() {
if c == ' ' && last_out == Some(' ') {
continue;
}
let upper = to_upper(c);
out.push(upper);
last_out = Some(upper);
}
out
}
/// Parse a signed integer from a string slice.
///
/// Handles optional leading `+` or `-` sign, followed by decimal digits.
/// Stops at the first non-digit character (or end of string).
pub fn dd_to_int(s: &str) -> i32 {
let bytes = s.as_bytes();
if bytes.is_empty() {
return 0;
}
let (negative, start) = match bytes[0] {
b'-' => (true, 1),
b'+' => (false, 1),
_ => (false, 0),
};
let mut result: i32 = 0;
for &b in &bytes[start..] {
if !b.is_ascii_digit() {
break;
}
result = result * 10 + (b - b'0') as i32;
}
if negative {
-result
} else {
result
}
}
/// Format an integer into a fixed-width decimal string.
///
/// * `value` the integer value to format
/// * `width` number of digit positions (excluding sign)
/// * `full_sign` if `true`, a `+` is prepended for non-negative values
pub fn int_to_dd(value: i32, width: usize, full_sign: bool) -> String {
let mut out = String::with_capacity(width + 1);
let abs_value = if value < 0 {
out.push('-');
(-value) as u32
} else {
if full_sign {
out.push('+');
}
value as u32
};
if width == 0 {
return out;
}
let mut divisor: u32 = 1;
for _ in 0..width - 1 {
divisor *= 10;
}
let mut remaining = abs_value;
while divisor >= 1 {
let digit = remaining / divisor;
out.push(char::from(b'0' + digit as u8));
remaining -= digit * divisor;
divisor /= 10;
}
out
}
#[cfg(test)]
mod tests {
use super::*;
// -----------------------------------------------------------------------
// charn / nchar round-trip tests
// -----------------------------------------------------------------------
#[test]
fn full_table_round_trip() {
let expected = " 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ+-./?";
for (i, ch) in expected.chars().enumerate() {
assert_eq!(charn(i as i32, CharTable::Full), ch, "charn({i})");
assert_eq!(nchar(ch, CharTable::Full), Some(i as i32), "nchar('{ch}')");
}
}
#[test]
fn alphanum_space_slash_round_trip() {
let expected = " 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ/";
for (i, ch) in expected.chars().enumerate() {
assert_eq!(
charn(i as i32, CharTable::AlphanumSpaceSlash),
ch,
"charn({i})"
);
assert_eq!(
nchar(ch, CharTable::AlphanumSpaceSlash),
Some(i as i32),
"nchar('{ch}')"
);
}
}
#[test]
fn alphanum_space_round_trip() {
let expected = " 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
for (i, ch) in expected.chars().enumerate() {
assert_eq!(charn(i as i32, CharTable::AlphanumSpace), ch, "charn({i})");
assert_eq!(
nchar(ch, CharTable::AlphanumSpace),
Some(i as i32),
"nchar('{ch}')"
);
}
}
#[test]
fn letters_space_round_trip() {
let expected = " ABCDEFGHIJKLMNOPQRSTUVWXYZ";
for (i, ch) in expected.chars().enumerate() {
assert_eq!(charn(i as i32, CharTable::LettersSpace), ch, "charn({i})");
assert_eq!(
nchar(ch, CharTable::LettersSpace),
Some(i as i32),
"nchar('{ch}')"
);
}
}
#[test]
fn alphanum_round_trip() {
let expected = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
for (i, ch) in expected.chars().enumerate() {
assert_eq!(charn(i as i32, CharTable::Alphanum), ch, "charn({i})");
assert_eq!(
nchar(ch, CharTable::Alphanum),
Some(i as i32),
"nchar('{ch}')"
);
}
}
#[test]
fn numeric_round_trip() {
let expected = "0123456789";
for (i, ch) in expected.chars().enumerate() {
assert_eq!(charn(i as i32, CharTable::Numeric), ch, "charn({i})");
assert_eq!(
nchar(ch, CharTable::Numeric),
Some(i as i32),
"nchar('{ch}')"
);
}
}
#[test]
fn nchar_returns_none_for_unknown() {
assert_eq!(nchar('!', CharTable::Full), None);
assert_eq!(nchar('a', CharTable::Full), None); // lowercase not in table
assert_eq!(nchar(' ', CharTable::Alphanum), None);
assert_eq!(nchar('A', CharTable::Numeric), None);
assert_eq!(nchar('0', CharTable::LettersSpace), None);
}
#[test]
fn charn_returns_underscore_for_out_of_range() {
assert_eq!(charn(42, CharTable::Full), '_');
assert_eq!(charn(38, CharTable::AlphanumSpaceSlash), '_');
assert_eq!(charn(10, CharTable::Numeric), '_');
}
// -----------------------------------------------------------------------
// to_upper
// -----------------------------------------------------------------------
#[test]
fn to_upper_converts_lowercase() {
assert_eq!(to_upper('a'), 'A');
assert_eq!(to_upper('z'), 'Z');
assert_eq!(to_upper('m'), 'M');
}
#[test]
fn to_upper_preserves_non_lower() {
assert_eq!(to_upper('A'), 'A');
assert_eq!(to_upper('5'), '5');
assert_eq!(to_upper(' '), ' ');
assert_eq!(to_upper('/'), '/');
}
// -----------------------------------------------------------------------
// fmtmsg
// -----------------------------------------------------------------------
#[test]
fn fmtmsg_uppercases_and_collapses_spaces() {
assert_eq!(fmtmsg("cq dx de ab1cd"), "CQ DX DE AB1CD");
}
#[test]
fn fmtmsg_preserves_single_spaces() {
assert_eq!(fmtmsg("CQ DX"), "CQ DX");
}
#[test]
fn fmtmsg_empty() {
assert_eq!(fmtmsg(""), "");
}
#[test]
fn fmtmsg_all_spaces() {
assert_eq!(fmtmsg(" "), " ");
}
// -----------------------------------------------------------------------
// dd_to_int
// -----------------------------------------------------------------------
#[test]
fn dd_to_int_positive() {
assert_eq!(dd_to_int("42"), 42);
assert_eq!(dd_to_int("+42"), 42);
}
#[test]
fn dd_to_int_negative() {
assert_eq!(dd_to_int("-7"), -7);
}
#[test]
fn dd_to_int_stops_at_non_digit() {
assert_eq!(dd_to_int("12abc"), 12);
}
#[test]
fn dd_to_int_empty() {
assert_eq!(dd_to_int(""), 0);
}
#[test]
fn dd_to_int_sign_only() {
assert_eq!(dd_to_int("-"), 0);
assert_eq!(dd_to_int("+"), 0);
}
// -----------------------------------------------------------------------
// int_to_dd
// -----------------------------------------------------------------------
#[test]
fn int_to_dd_positive_no_sign() {
assert_eq!(int_to_dd(7, 2, false), "07");
}
#[test]
fn int_to_dd_positive_with_sign() {
assert_eq!(int_to_dd(7, 2, true), "+07");
}
#[test]
fn int_to_dd_negative() {
assert_eq!(int_to_dd(-15, 2, false), "-15");
}
#[test]
fn int_to_dd_zero() {
assert_eq!(int_to_dd(0, 2, false), "00");
assert_eq!(int_to_dd(0, 2, true), "+00");
}
#[test]
fn int_to_dd_width_3() {
assert_eq!(int_to_dd(123, 3, false), "123");
assert_eq!(int_to_dd(5, 3, true), "+005");
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Top-level FTx decoder matching the `trx-ft8` public API.
use std::collections::HashSet;
use crate::common::callsign_hash::CallsignHashTable;
use crate::common::decode::{
ftx_decode_candidate, ftx_find_candidates, ftx_post_decode_snr, FtxMessage,
};
use crate::common::message;
use crate::common::monitor::{Monitor, MonitorConfig};
use crate::common::protocol::*;
const DEFAULT_F_MIN_HZ: f32 = 200.0;
const DEFAULT_F_MAX_HZ: f32 = 3000.0;
const DEFAULT_TIME_OSR: i32 = 2;
const DEFAULT_FREQ_OSR: i32 = 2;
#[cfg(feature = "ft2")]
const FT2_F_MIN_HZ: f32 = 200.0;
#[cfg(feature = "ft2")]
const FT2_F_MAX_HZ: f32 = 5000.0;
#[cfg(feature = "ft2")]
const FT2_TIME_OSR: i32 = 8;
#[cfg(feature = "ft2")]
const FT2_FREQ_OSR: i32 = 4;
const MAX_LDPC_ITERATIONS: usize = 20;
const MIN_CANDIDATE_SCORE: i32 = 10;
const MAX_CANDIDATES: usize = 120;
/// Decoded result from the FT8/FT4/FT2 decoder.
#[derive(Debug, Clone)]
pub struct Ft8DecodeResult {
pub text: String,
pub snr_db: f32,
pub dt_s: f32,
pub freq_hz: f32,
}
/// FTx decoder instance supporting FT8, FT4, and (optionally) FT2 protocols.
pub struct Ft8Decoder {
protocol: FtxProtocol,
sample_rate: u32,
block_size: usize,
window_samples: usize,
monitor: Monitor,
callsign_hash: CallsignHashTable,
// FT2-specific pipeline
#[cfg(feature = "ft2")]
ft2_pipeline: Option<crate::ft2::Ft2Pipeline>,
}
impl Ft8Decoder {
/// Create a new FT8 decoder.
pub fn new(sample_rate: u32) -> Result<Self, String> {
Self::new_with_protocol(sample_rate, FtxProtocol::Ft8)
}
/// Create a new FT4 decoder.
pub fn new_ft4(sample_rate: u32) -> Result<Self, String> {
Self::new_with_protocol(sample_rate, FtxProtocol::Ft4)
}
/// Create a new FT2 decoder.
#[cfg(feature = "ft2")]
pub fn new_ft2(sample_rate: u32) -> Result<Self, String> {
Self::new_with_protocol(sample_rate, FtxProtocol::Ft2)
}
fn new_with_protocol(sample_rate: u32, protocol: FtxProtocol) -> Result<Self, String> {
let (f_min, f_max, time_osr, freq_osr) = match protocol {
#[cfg(feature = "ft2")]
FtxProtocol::Ft2 => (FT2_F_MIN_HZ, FT2_F_MAX_HZ, FT2_TIME_OSR, FT2_FREQ_OSR),
_ => (
DEFAULT_F_MIN_HZ,
DEFAULT_F_MAX_HZ,
DEFAULT_TIME_OSR,
DEFAULT_FREQ_OSR,
),
};
let cfg = MonitorConfig {
f_min,
f_max,
sample_rate: sample_rate as i32,
time_osr,
freq_osr,
protocol,
};
let monitor = Monitor::new(&cfg);
let block_size = monitor.block_size;
if block_size == 0 {
return Err(format!("invalid {:?} block size", protocol));
}
let window_samples = {
#[cfg(feature = "ft2")]
if protocol == FtxProtocol::Ft2 {
crate::ft2::FT2_NMAX
} else {
let slot_time = protocol.slot_time();
(sample_rate as f32 * slot_time) as usize
}
#[cfg(not(feature = "ft2"))]
{
let slot_time = protocol.slot_time();
(sample_rate as f32 * slot_time) as usize
}
};
if window_samples == 0 {
return Err(format!("invalid {:?} analysis window", protocol));
}
#[cfg(feature = "ft2")]
let ft2_pipeline = if protocol == FtxProtocol::Ft2 {
Some(crate::ft2::Ft2Pipeline::new(sample_rate as i32))
} else {
None
};
Ok(Self {
protocol,
sample_rate,
block_size,
window_samples,
monitor,
callsign_hash: CallsignHashTable::new(),
#[cfg(feature = "ft2")]
ft2_pipeline,
})
}
/// Block size in samples for `process_block`.
pub fn block_size(&self) -> usize {
self.block_size
}
/// The sample rate this decoder was configured with.
pub fn sample_rate(&self) -> u32 {
self.sample_rate
}
/// Total analysis window in samples.
pub fn window_samples(&self) -> usize {
self.window_samples
}
/// Reset the decoder state for a new decode cycle.
pub fn reset(&mut self) {
self.monitor.reset();
self.callsign_hash.cleanup(10);
#[cfg(feature = "ft2")]
if let Some(ref mut pipe) = self.ft2_pipeline {
pipe.reset();
}
}
/// Feed one block of audio samples to the decoder.
pub fn process_block(&mut self, block: &[f32]) {
if block.len() < self.block_size {
return;
}
#[cfg(feature = "ft2")]
if self.protocol == FtxProtocol::Ft2 {
// FT2: accumulate raw audio and also feed the monitor
if let Some(ref mut pipe) = self.ft2_pipeline {
pipe.accumulate(block);
}
}
self.monitor.process(block);
}
/// Check if enough data has been collected and run the decode.
/// Returns decoded messages, or empty if not ready yet.
pub fn decode_if_ready(&mut self, max_results: usize) -> Vec<Ft8DecodeResult> {
#[cfg(feature = "ft2")]
if self.protocol == FtxProtocol::Ft2 {
return self.decode_ft2(max_results);
}
// FT8/FT4: waterfall-based decode
if self.monitor.wf.num_blocks < self.monitor.wf.max_blocks {
return Vec::new();
}
self.decode_waterfall(max_results)
}
/// Waterfall-based decode for FT8/FT4.
fn decode_waterfall(&mut self, max_results: usize) -> Vec<Ft8DecodeResult> {
let candidates = ftx_find_candidates(&self.monitor.wf, MAX_CANDIDATES, MIN_CANDIDATE_SCORE);
let mut results = Vec::new();
let mut seen = HashSet::with_capacity(max_results);
for cand in &candidates {
if results.len() >= max_results {
break;
}
let msg = match ftx_decode_candidate(&self.monitor.wf, cand, MAX_LDPC_ITERATIONS) {
Some(m) => m,
None => continue,
};
// Dedup by hash (O(1) lookup via HashSet)
if !seen.insert(msg.hash) {
continue;
}
// Unpack message text
let text = match self.unpack_message(&msg) {
Some(t) => t,
None => continue,
};
// Compute SNR
let snr_db = ftx_post_decode_snr(&self.monitor.wf, cand, &msg);
// Compute time offset
let symbol_period = self.protocol.symbol_period();
let dt_s = (cand.time_offset as f32
+ cand.time_sub as f32 / self.monitor.wf.time_osr as f32)
* symbol_period
- 0.5;
// Compute frequency
let freq_hz = (self.monitor.min_bin as f32
+ cand.freq_offset as f32
+ cand.freq_sub as f32 / self.monitor.wf.freq_osr as f32)
/ symbol_period;
results.push(Ft8DecodeResult {
text,
snr_db,
dt_s,
freq_hz,
});
}
results
}
/// FT2-specific decode pipeline.
#[cfg(feature = "ft2")]
fn decode_ft2(&mut self, max_results: usize) -> Vec<Ft8DecodeResult> {
let ft2_results = {
let pipe = match self.ft2_pipeline.as_mut() {
Some(p) => p,
None => return Vec::new(),
};
if !pipe.is_ready() {
return Vec::new();
}
pipe.decode(max_results)
};
let mut results = Vec::new();
for r in ft2_results {
let text = match self.unpack_message(&r.message) {
Some(t) => t,
None => continue,
};
results.push(Ft8DecodeResult {
text,
snr_db: r.snr_db,
dt_s: r.dt_s,
freq_hz: r.freq_hz,
});
}
results
}
/// Unpack a decoded FtxMessage into a human-readable string.
fn unpack_message(&mut self, msg: &FtxMessage) -> Option<String> {
let m = message::FtxMessage {
payload: msg.payload,
hash: msg.hash as u32,
};
let (text, _offsets, _rc) = message::ftx_message_decode(&m, &mut self.callsign_hash);
if text.is_empty() {
return None;
}
Some(text)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn ft8_decoder_creates() {
let dec = Ft8Decoder::new(12_000).expect("ft8 decoder");
assert_eq!(dec.block_size(), 1920); // 12000 * 0.160
assert_eq!(dec.sample_rate(), 12_000);
}
#[test]
fn ft4_decoder_creates() {
let dec = Ft8Decoder::new_ft4(12_000).expect("ft4 decoder");
assert_eq!(dec.block_size(), 576); // 12000 * 0.048
}
#[cfg(feature = "ft2")]
#[test]
fn ft2_uses_distinct_block_size() {
let ft4 = Ft8Decoder::new_ft4(12_000).expect("ft4 decoder");
let ft2 = Ft8Decoder::new_ft2(12_000).expect("ft2 decoder");
assert!(ft2.block_size() < ft4.block_size());
assert_eq!(ft4.block_size(), 576);
assert_eq!(ft2.block_size(), 288);
assert_eq!(ft2.window_samples(), 45_000);
}
#[test]
fn decoder_reset() {
let mut dec = Ft8Decoder::new(12_000).expect("ft8 decoder");
dec.reset();
// Should not panic
}
#[test]
fn decode_empty_returns_nothing() {
let mut dec = Ft8Decoder::new(12_000).expect("ft8 decoder");
let results = dec.decode_if_ready(10);
assert!(results.is_empty());
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Per-symbol FFT and multi-scale bit metrics extraction.
//!
//! Takes the downsampled complex signal, computes per-symbol FFTs to extract
//! complex tone amplitudes, and generates bit metrics at three scales:
//! 1-symbol, 2-symbol, and 4-symbol coherent integration.
use num_complex::Complex32;
use rustfft::FftPlanner;
use crate::common::constants::{FT4_COSTAS_PATTERN, FT4_GRAY_MAP};
use super::{FT2_FRAME_SYMBOLS, FT2_NSS};
const N_METRICS: usize = 2 * FT2_FRAME_SYMBOLS;
/// Reusable FFT plans and scratch buffers for bit-metric extraction.
pub struct BitMetricsWorkspace {
fft: std::sync::Arc<dyn rustfft::Fft<f32>>,
scratch: Vec<Complex32>,
symbols: [[Complex32; 4]; FT2_FRAME_SYMBOLS],
s4: [[f32; 4]; FT2_FRAME_SYMBOLS],
metric1: [f32; N_METRICS],
metric2: [f32; N_METRICS],
metric4: [f32; N_METRICS],
bitmetrics: [[f32; 3]; N_METRICS],
csymb: [Complex32; FT2_NSS],
}
impl BitMetricsWorkspace {
pub fn new() -> Self {
let mut planner = FftPlanner::<f32>::new();
let fft = planner.plan_fft_forward(FT2_NSS);
let scratch = vec![Complex32::new(0.0, 0.0); fft.get_inplace_scratch_len()];
Self {
fft,
scratch,
symbols: [[Complex32::new(0.0, 0.0); 4]; FT2_FRAME_SYMBOLS],
s4: [[0.0; 4]; FT2_FRAME_SYMBOLS],
metric1: [0.0; N_METRICS],
metric2: [0.0; N_METRICS],
metric4: [0.0; N_METRICS],
bitmetrics: [[0.0; 3]; N_METRICS],
csymb: [Complex32::new(0.0, 0.0); FT2_NSS],
}
}
/// Extract bit metrics into a reusable internal buffer.
pub fn extract<'a>(&'a mut self, signal: &[Complex32]) -> Option<&'a [[f32; 3]]> {
self.metric1.fill(0.0);
self.metric2.fill(0.0);
self.metric4.fill(0.0);
for sym in 0..FT2_FRAME_SYMBOLS {
let offset = sym * FT2_NSS;
if offset + FT2_NSS <= signal.len() {
self.csymb
.copy_from_slice(&signal[offset..(offset + FT2_NSS)]);
} else {
self.csymb.fill(Complex32::new(0.0, 0.0));
let remaining = signal.len().saturating_sub(offset);
self.csymb[..remaining].copy_from_slice(&signal[offset..(offset + remaining)]);
}
self.fft
.process_with_scratch(&mut self.csymb, &mut self.scratch);
for tone in 0..4 {
let symbol = self.csymb[tone];
self.symbols[sym][tone] = symbol;
self.s4[sym][tone] = symbol.norm();
}
}
// Sync quality check: verify Costas patterns are detectable
let mut sync_ok = 0;
for (group, costas_group) in FT4_COSTAS_PATTERN.iter().enumerate() {
let base = group * 33;
for (i, &costas_tone) in costas_group.iter().enumerate() {
if base + i >= FT2_FRAME_SYMBOLS {
continue;
}
let mut best = 0;
for tone in 1..4 {
if self.s4[base + i][tone] > self.s4[base + i][best] {
best = tone;
}
}
if best == costas_tone as usize {
sync_ok += 1;
}
}
}
if sync_ok < 4 {
return None;
}
for nseq in 0..3 {
let (nsym, metric): (usize, &mut [f32; N_METRICS]) = match nseq {
0 => (1, &mut self.metric1),
1 => (2, &mut self.metric2),
_ => (4, &mut self.metric4),
};
let nt = 1usize << (2 * nsym);
let ibmax = match nsym {
1 => 1,
2 => 3,
4 => 7,
_ => 0,
};
let mut ks = 0;
while ks + nsym <= FT2_FRAME_SYMBOLS {
let mut max_one = [f32::NEG_INFINITY; 8];
let mut max_zero = [f32::NEG_INFINITY; 8];
for i in 0..nt {
let sum = match nsym {
1 => self.symbols[ks][FT4_GRAY_MAP[i & 0x03] as usize],
2 => {
self.symbols[ks][FT4_GRAY_MAP[(i >> 2) & 0x03] as usize]
+ self.symbols[ks + 1][FT4_GRAY_MAP[i & 0x03] as usize]
}
4 => {
self.symbols[ks][FT4_GRAY_MAP[(i >> 6) & 0x03] as usize]
+ self.symbols[ks + 1][FT4_GRAY_MAP[(i >> 4) & 0x03] as usize]
+ self.symbols[ks + 2][FT4_GRAY_MAP[(i >> 2) & 0x03] as usize]
+ self.symbols[ks + 3][FT4_GRAY_MAP[i & 0x03] as usize]
}
_ => Complex32::new(0.0, 0.0),
};
let coherent = sum.norm();
for ib in 0..=ibmax {
if ((i >> (ibmax - ib)) & 1) != 0 {
max_one[ib] = max_one[ib].max(coherent);
} else {
max_zero[ib] = max_zero[ib].max(coherent);
}
}
}
let ipt = 2 * ks;
for ib in 0..=ibmax {
let metric_idx = ipt + ib;
if metric_idx < N_METRICS {
metric[metric_idx] = max_one[ib] - max_zero[ib];
}
}
ks += nsym;
}
}
// Patch boundary metrics where multi-symbol integration overruns
self.metric2[204] = self.metric1[204];
self.metric2[205] = self.metric1[205];
self.metric4[200] = self.metric2[200];
self.metric4[201] = self.metric2[201];
self.metric4[202] = self.metric2[202];
self.metric4[203] = self.metric2[203];
self.metric4[204] = self.metric1[204];
self.metric4[205] = self.metric1[205];
normalize_metric(&mut self.metric1);
normalize_metric(&mut self.metric2);
normalize_metric(&mut self.metric4);
for i in 0..N_METRICS {
self.bitmetrics[i][0] = self.metric1[i];
self.bitmetrics[i][1] = self.metric2[i];
self.bitmetrics[i][2] = self.metric4[i];
}
Some(&self.bitmetrics)
}
}
impl Default for BitMetricsWorkspace {
fn default() -> Self {
Self::new()
}
}
/// Extract bit metrics from the downsampled signal region.
///
/// Returns a 2D array of shape `[2 * FT2_FRAME_SYMBOLS][3]` where:
/// - Index 0: 1-symbol scale metric
/// - Index 1: 2-symbol scale metric
/// - Index 2: 4-symbol scale metric
///
/// Returns `None` if the sync quality is too poor (fewer than 4 of 16
/// Costas sync tones decoded correctly).
pub fn extract_bitmetrics_raw(signal: &[Complex32]) -> Option<Vec<[f32; 3]>> {
let mut workspace = BitMetricsWorkspace::new();
workspace
.extract(signal)
.map(|bitmetrics| bitmetrics.to_vec())
}
/// Normalize a metric array by dividing by its standard deviation.
fn normalize_metric(metric: &mut [f32]) {
let count = metric.len();
if count == 0 {
return;
}
let mut sum = 0.0f32;
let mut sum2 = 0.0f32;
for &v in metric.iter() {
sum += v;
sum2 += v * v;
}
let mean = sum / count as f32;
let variance = (sum2 / count as f32) - (mean * mean);
let sigma = if variance > 0.0 {
variance.sqrt()
} else {
(sum2 / count as f32).max(0.0).sqrt()
};
if sigma <= 1e-6 {
return;
}
for v in metric.iter_mut() {
*v /= sigma;
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn normalize_metric_zeros() {
let mut m = vec![0.0f32; 100];
normalize_metric(&mut m);
for &v in &m {
assert_eq!(v, 0.0);
}
}
#[test]
fn normalize_metric_uniform() {
let mut m = vec![1.0f32; 100];
normalize_metric(&mut m);
// All values are the same so variance is zero, sigma will be computed
// from sum2/n which is 1.0, so sigma=1.0 and values remain 1.0
for &v in &m {
assert!((v - 1.0).abs() < 1e-4);
}
}
#[test]
fn normalize_metric_nonzero() {
let mut m: Vec<f32> = (0..100).map(|i| (i as f32 - 50.0) * 0.1).collect();
normalize_metric(&mut m);
// After normalization, standard deviation should be ~1.0
let mean: f32 = m.iter().sum::<f32>() / m.len() as f32;
let variance: f32 =
m.iter().map(|&v| (v - mean) * (v - mean)).sum::<f32>() / m.len() as f32;
assert!(
(variance - 1.0).abs() < 0.1,
"Normalized variance should be ~1.0, got {}",
variance
);
}
#[test]
fn extract_bitmetrics_silent_signal() {
let signal = vec![Complex32::new(0.0, 0.0); FT2_FRAME_SYMBOLS * FT2_NSS];
// Silent signal: all tones have zero magnitude, so the "best tone"
// defaults to tone 0 for every symbol. When tone 0 happens to match
// the Costas pattern (which it does for some groups), sync_ok may
// reach >= 4. So a silent signal can still pass the sync quality
// gate — the important thing is it does not panic.
let _result = extract_bitmetrics_raw(&signal);
}
#[test]
fn frame_symbols_constant() {
// FT2_NN=105, FT2_NR=2 => FT2_FRAME_SYMBOLS=103
assert_eq!(FT2_FRAME_SYMBOLS, 103);
}
#[test]
fn nss_constant() {
// FT2_NSTEP=288, FT2_NDOWN=9 => FT2_NSS=32
assert_eq!(FT2_NSS, 32);
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! FT2-specific waterfall sync scoring and likelihood extraction.
use num_complex::Complex32;
use crate::common::constants::*;
use crate::common::decode::{get_cand_offset, wf_elem_to_complex, wf_mag_safe, Candidate};
use crate::common::monitor::Waterfall;
use crate::common::protocol::*;
/// Compute FT2 sync score for a candidate (coherent multi-tone).
pub(crate) fn ft2_sync_score(wf: &Waterfall, cand: &Candidate) -> i32 {
let base = get_cand_offset(wf, cand);
let mut score_f: f32 = 0.0;
let mut groups = 0;
for (m, costas_group) in FT4_COSTAS_PATTERN.iter().enumerate().take(FT2_NUM_SYNC) {
let mut sum = Complex32::new(0.0, 0.0);
let mut complete = true;
for (k, &costas_tone) in costas_group.iter().enumerate().take(FT2_LENGTH_SYNC) {
let block = 1 + FT2_SYNC_OFFSET * m + k;
let block_abs = cand.time_offset as i32 + block as i32;
if block_abs < 0 || block_abs >= wf.num_blocks as i32 {
complete = false;
break;
}
let sym_offset = base + block * wf.block_stride;
let tone = costas_tone as usize;
let elem = *wf_mag_safe(wf, sym_offset + tone);
sum += wf_elem_to_complex(elem);
}
if !complete {
continue;
}
score_f += sum.norm();
groups += 1;
}
if groups == 0 {
return 0;
}
(score_f / groups as f32 * 8.0).round() as i32
}
/// Extract log-likelihood ratios for FT2 symbols (multi-scale coherent).
pub(crate) fn ft2_extract_likelihood(
wf: &Waterfall,
cand: &Candidate,
log174: &mut [f32; FTX_LDPC_N],
) {
let base = get_cand_offset(wf, cand);
let frame_syms = FT2_NN - FT2_NR;
// Collect complex symbols
let mut symbols = [[Complex32::new(0.0, 0.0); 103]; 4]; // FT2_NN - FT2_NR = 103
for frame_sym in 0..frame_syms {
let sym_idx = frame_sym + 1; // skip ramp-up
let block = cand.time_offset as i32 + sym_idx as i32;
if block < 0 || block >= wf.num_blocks as i32 {
continue;
}
let sym_offset = base + sym_idx * wf.block_stride;
for (tone, symbol_row) in symbols.iter_mut().enumerate().take(4) {
let elem = *wf_mag_safe(wf, sym_offset + tone);
symbol_row[frame_sym] = wf_elem_to_complex(elem);
}
}
// Multi-scale metrics
let mut metric1 = vec![0.0f32; 2 * frame_syms];
let mut metric2 = vec![0.0f32; 2 * frame_syms];
let mut metric4 = vec![0.0f32; 2 * frame_syms];
for start in 0..frame_syms {
ft2_extract_logl_seq(&symbols, start, 1, &mut metric1[2 * start..]);
}
let mut start = 0;
while start + 1 < frame_syms {
ft2_extract_logl_seq(&symbols, start, 2, &mut metric2[2 * start..]);
start += 2;
}
start = 0;
while start + 3 < frame_syms {
ft2_extract_logl_seq(&symbols, start, 4, &mut metric4[2 * start..]);
start += 4;
}
// Patch boundaries
if 2 * frame_syms >= 206 {
metric2[204] = metric1[204];
metric2[205] = metric1[205];
metric4[200] = metric2[200];
metric4[201] = metric2[201];
metric4[202] = metric2[202];
metric4[203] = metric2[203];
metric4[204] = metric1[204];
metric4[205] = metric1[205];
}
// Map to 174 data bits, selecting max-magnitude metric
for data_sym in 0..FT2_ND {
let frame_sym = data_sym
+ if data_sym < 29 {
4
} else if data_sym < 58 {
8
} else {
12
};
let src_bit = 2 * frame_sym;
let dst_bit = 2 * data_sym;
for b in 0..2 {
let a = metric1[src_bit + b];
let bv = metric2[src_bit + b];
let c = metric4[src_bit + b];
log174[dst_bit + b] = if a.abs() >= bv.abs() && a.abs() >= c.abs() {
a
} else if bv.abs() >= c.abs() {
bv
} else {
c
};
}
}
}
fn ft2_extract_logl_seq(
symbols: &[[Complex32; 103]; 4],
start_sym: usize,
n_syms: usize,
metrics: &mut [f32],
) {
let n_bits = 2 * n_syms;
let n_sequences = 1 << n_bits;
for bit in 0..n_bits {
let mut max_zero = f32::NEG_INFINITY;
let mut max_one = f32::NEG_INFINITY;
for seq in 0..n_sequences {
let mut sum = Complex32::new(0.0, 0.0);
for sym in 0..n_syms {
let shift = 2 * (n_syms - sym - 1);
let dibit = (seq >> shift) & 0x3;
let tone = FT4_GRAY_MAP[dibit] as usize;
if start_sym + sym < 103 {
sum += symbols[tone][start_sym + sym];
}
}
let strength = sum.norm();
let mask_bit = n_bits - bit - 1;
if (seq >> mask_bit) & 1 != 0 {
if strength > max_one {
max_one = strength;
}
} else if strength > max_zero {
max_zero = strength;
}
}
if bit < metrics.len() {
metrics[bit] = max_one - max_zero;
}
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! Frequency-domain downsampling via IFFT.
//!
//! Given the full-rate raw audio, this module computes a single forward FFT of
//! the entire buffer, then for each candidate frequency extracts a narrow band
//! around that frequency, applies a spectral window, and inverse-FFTs to produce
//! a complex baseband signal at a reduced sample rate (12000/NDOWN = 1333.3 Hz).
use std::sync::Arc;
use num_complex::Complex32;
use rustfft::FftPlanner;
use super::{FT2_NDOWN, FT2_SYMBOL_PERIOD_F};
/// Reusable scratch buffers for frequency-domain downsampling.
pub struct DownsampleWorkspace {
band: Vec<Complex32>,
ifft_scratch: Vec<Complex32>,
}
impl DownsampleWorkspace {
fn new(nfft2: usize, ifft_scratch_len: usize) -> Self {
Self {
band: vec![Complex32::new(0.0, 0.0); nfft2],
ifft_scratch: vec![Complex32::new(0.0, 0.0); ifft_scratch_len],
}
}
fn prepare(&mut self, nfft2: usize, ifft_scratch_len: usize) {
if self.band.len() != nfft2 {
self.band.resize(nfft2, Complex32::new(0.0, 0.0));
} else {
self.band.fill(Complex32::new(0.0, 0.0));
}
if self.ifft_scratch.len() != ifft_scratch_len {
self.ifft_scratch
.resize(ifft_scratch_len, Complex32::new(0.0, 0.0));
}
}
}
/// Downsample context holding precomputed FFT data and spectral window.
pub struct DownsampleContext {
/// Number of raw samples.
nraw: usize,
/// Length of the downsampled FFT (nraw / NDOWN).
nfft2: usize,
/// Frequency resolution of the raw FFT (Hz per bin).
df: f32,
/// Spectral extraction window (length nfft2).
window: Vec<f32>,
/// Full spectrum of the raw audio (nraw/2 + 1 complex bins).
spectrum: Vec<Complex32>,
/// IFFT plan for the downsampled length.
ifft: std::sync::Arc<dyn rustfft::Fft<f32>>,
/// Scratch length required by the IFFT plan.
ifft_scratch_len: usize,
}
impl DownsampleContext {
/// Initialize the downsample context by computing the forward FFT of
/// the raw audio and preparing the spectral window.
///
/// If `real_fft` and `ifft` are provided, they are reused instead of
/// creating fresh planners. The real FFT must be a forward plan of length
/// `nraw` and the IFFT must be an inverse plan of length `nraw / NDOWN`.
///
/// Returns `None` if the raw audio is too short or allocation fails.
pub fn new(raw_audio: &[f32], sample_rate: f32) -> Option<Self> {
Self::new_with_plans(raw_audio, sample_rate, None, None)
}
/// Initialize with optional pre-built FFT plans for reuse across decode cycles.
pub fn new_with_plans(
raw_audio: &[f32],
sample_rate: f32,
real_fft: Option<Arc<dyn realfft::RealToComplex<f32>>>,
ifft: Option<Arc<dyn rustfft::Fft<f32>>>,
) -> Option<Self> {
let nraw = raw_audio.len();
if nraw == 0 {
return None;
}
let nfft2 = nraw / FT2_NDOWN;
if nfft2 == 0 {
return None;
}
let df = sample_rate / nraw as f32;
// Build spectral extraction window
let mut window = build_spectral_window(nfft2, df);
let inv_nfft2 = 1.0 / nfft2 as f32;
for coeff in &mut window {
*coeff *= inv_nfft2;
}
// Forward real FFT of raw audio
let fft = match real_fft {
Some(f) => f,
None => {
let mut real_planner = realfft::RealFftPlanner::<f32>::new();
real_planner.plan_fft_forward(nraw)
}
};
let mut input = fft.make_input_vec();
let mut output = fft.make_output_vec();
let mut scratch = fft.make_scratch_vec();
input.copy_from_slice(raw_audio);
fft.process_with_scratch(&mut input, &mut output, &mut scratch)
.ok()?;
let spectrum = output;
// IFFT plan for downsampled length
let ifft = match ifft {
Some(f) => f,
None => {
let mut planner = FftPlanner::<f32>::new();
planner.plan_fft_inverse(nfft2)
}
};
let ifft_scratch_len = ifft.get_inplace_scratch_len();
Some(Self {
nraw,
nfft2,
df,
window,
spectrum,
ifft,
ifft_scratch_len,
})
}
/// Number of downsampled output samples.
pub fn nfft2(&self) -> usize {
self.nfft2
}
/// Create reusable buffers for repeated downsampling with this context.
pub fn workspace(&self) -> DownsampleWorkspace {
DownsampleWorkspace::new(self.nfft2, self.ifft_scratch_len)
}
/// Downsample the raw audio around `freq_hz`, writing complex baseband
/// samples into `out`. Returns the number of samples produced.
pub fn downsample(&self, freq_hz: f32, out: &mut [Complex32]) -> usize {
let mut workspace = self.workspace();
self.downsample_with_workspace(freq_hz, out, &mut workspace)
}
/// Downsample the raw audio using reusable scratch buffers.
pub fn downsample_with_workspace(
&self,
freq_hz: f32,
out: &mut [Complex32],
workspace: &mut DownsampleWorkspace,
) -> usize {
if out.len() < self.nfft2 {
return 0;
}
workspace.prepare(self.nfft2, self.ifft_scratch_len);
let band = &mut workspace.band;
let i0 = (freq_hz / self.df).round() as i32;
let half_nraw = (self.nraw / 2) as i32;
// DC bin
if i0 >= 0 && i0 <= half_nraw && (i0 as usize) < self.spectrum.len() {
band[0] = self.spectrum[i0 as usize];
}
// Positive and negative frequency bins
for i in 1..=(self.nfft2 as i32 / 2) {
let pos = i0 + i;
if pos >= 0 && pos <= half_nraw && (pos as usize) < self.spectrum.len() {
band[i as usize] = self.spectrum[pos as usize];
}
let neg = i0 - i;
if neg >= 0 && neg <= half_nraw && (neg as usize) < self.spectrum.len() {
band[(self.nfft2 as i32 - i) as usize] = self.spectrum[neg as usize];
}
}
// Apply spectral window
for (b, &w) in band.iter_mut().zip(self.window.iter()) {
*b *= w;
}
// Inverse FFT (in-place)
self.ifft
.process_with_scratch(band, &mut workspace.ifft_scratch);
out[..self.nfft2].copy_from_slice(band);
self.nfft2
}
}
/// Build the spectral window used during band extraction.
///
/// The window has a raised-cosine transition, a flat passband covering
/// the FT2 signal bandwidth (4 * baud), and is circularly shifted by
/// one baud rate worth of bins.
fn build_spectral_window(nfft2: usize, df: f32) -> Vec<f32> {
let baud = 1.0 / FT2_SYMBOL_PERIOD_F;
let iwt = ((0.5 * baud) / df) as usize;
let iwf = ((4.0 * baud) / df) as usize;
let iws = (baud / df) as usize;
let mut window = vec![0.0f32; nfft2];
if iwt == 0 {
return window;
}
// Raised-cosine leading edge
for (i, w) in window.iter_mut().enumerate().take(iwt.min(nfft2)) {
*w = 0.5 * (1.0 + (std::f32::consts::PI * (iwt - 1 - i) as f32 / iwt as f32).cos());
}
// Flat passband
for w in window
.iter_mut()
.skip(iwt)
.take((iwt + iwf).min(nfft2) - iwt)
{
*w = 1.0;
}
// Raised-cosine trailing edge
for (i, w) in window
.iter_mut()
.enumerate()
.take((2 * iwt + iwf).min(nfft2))
.skip(iwt + iwf)
{
*w = 0.5 * (1.0 + (std::f32::consts::PI * (i - (iwt + iwf)) as f32 / iwt as f32).cos());
}
// Circular shift by iws bins
if iws > 0 && iws < nfft2 {
window.rotate_left(iws);
}
window
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn spectral_window_length() {
let w = build_spectral_window(5000, 12000.0 / 45000.0);
assert_eq!(w.len(), 5000);
}
#[test]
fn spectral_window_nonnegative() {
let w = build_spectral_window(5000, 12000.0 / 45000.0);
for &v in &w {
assert!(v >= 0.0, "Window value should be non-negative: {}", v);
}
}
#[test]
fn downsample_context_creation() {
let raw = vec![0.0f32; 45000];
let ctx = DownsampleContext::new(&raw, 12000.0);
assert!(ctx.is_some());
let ctx = ctx.unwrap();
assert_eq!(ctx.nfft2(), 45000 / 9);
}
#[test]
fn downsample_produces_samples() {
let raw = vec![0.0f32; 45000];
let ctx = DownsampleContext::new(&raw, 12000.0).unwrap();
let nfft2 = ctx.nfft2();
let mut out = vec![Complex32::new(0.0, 0.0); nfft2];
let n = ctx.downsample(1000.0, &mut out);
assert_eq!(n, nfft2);
}
#[test]
fn downsample_output_too_small() {
let raw = vec![0.0f32; 45000];
let ctx = DownsampleContext::new(&raw, 12000.0).unwrap();
let mut out = vec![Complex32::new(0.0, 0.0); 10];
let n = ctx.downsample(1000.0, &mut out);
assert_eq!(n, 0);
}
#[test]
fn empty_audio_returns_none() {
let raw: Vec<f32> = Vec::new();
assert!(DownsampleContext::new(&raw, 12000.0).is_none());
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! FT2 pipeline orchestration.
//!
//! Implements the full FT2 decode flow: accumulate raw audio, find frequency
//! peaks in the averaged spectrum, downsample each candidate, compute 2D sync
//! scores, extract bit metrics, and run multi-pass LDPC + OSD decode.
pub mod bitmetrics;
pub(crate) mod decode;
pub mod downsample;
pub mod sync;
pub(crate) use self::decode::{ft2_extract_likelihood, ft2_sync_score};
use std::sync::Arc;
use num_complex::Complex32;
use realfft::RealFftPlanner;
use rustfft::FftPlanner;
use self::bitmetrics::BitMetricsWorkspace;
use self::downsample::{DownsampleContext, DownsampleWorkspace};
use self::sync::{prepare_sync_waveforms, sync2d_score, SyncWaveforms};
use crate::common::decode::{verify_crc_and_build_message, FtxMessage};
use crate::common::protocol::*;
// FT2 DSP constants
pub const FT2_NDOWN: usize = 9;
pub const FT2_NFFT1: usize = 1152;
pub const FT2_NH1: usize = FT2_NFFT1 / 2;
pub const FT2_NSTEP: usize = 288;
pub const FT2_NMAX: usize = 45000;
pub const FT2_MAX_RAW_CANDIDATES: usize = 96;
pub const FT2_MAX_SCAN_HITS: usize = 128;
pub const FT2_SYNC_TWEAK_MIN: i32 = -16;
pub const FT2_SYNC_TWEAK_MAX: i32 = 16;
pub const FT2_NSS: usize = FT2_NSTEP / FT2_NDOWN;
pub const FT2_FRAME_SYMBOLS: usize = FT2_NN - FT2_NR;
pub const FT2_FRAME_SAMPLES: usize = FT2_FRAME_SYMBOLS * FT2_NSS;
pub const FT2_SYMBOL_PERIOD_F: f32 = FT2_SYMBOL_PERIOD;
/// Frequency offset applied to FT2 candidates.
pub fn ft2_frequency_offset_hz() -> f32 {
-1.5 / FT2_SYMBOL_PERIOD_F
}
/// Generate FT2 tone sequence from payload data.
///
/// FT2 uses the FT4 framing with a doubled symbol rate.
pub fn ft2_encode(payload: &[u8], tones: &mut [u8]) {
crate::ft4::ft4_encode(payload, tones);
}
/// Raw frequency peak candidate from the averaged power spectrum.
#[derive(Clone, Copy, Default)]
pub struct RawCandidate {
pub freq_hz: f32,
pub score: f32,
}
/// Scan hit with refined sync parameters.
#[derive(Clone, Copy, Default)]
pub struct ScanHit {
pub freq_hz: f32,
pub snr0: f32,
pub sync_score: f32,
pub start: i32,
pub idf: i32,
}
/// Statistics from the scan phase.
#[derive(Clone, Default)]
pub struct ScanStats {
pub peaks_found: usize,
pub hits_found: usize,
pub best_peak_score: f32,
pub best_sync_score: f32,
}
/// Failure stage classification for diagnostics.
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum FailStage {
None,
RefinedSync,
FreqRange,
FinalDownsample,
BitMetrics,
SyncQual,
Ldpc,
Crc,
Unpack,
}
/// Per-pass diagnostic information.
#[derive(Clone)]
pub struct PassDiag {
pub ntype: [i32; 5],
pub nharderror: [i32; 5],
pub dmin: [f32; 5],
}
impl Default for PassDiag {
fn default() -> Self {
Self {
ntype: [0; 5],
nharderror: [-1; 5],
dmin: [f32::INFINITY; 5],
}
}
}
/// Decoded FT2 result with timing and frequency metadata.
#[derive(Clone)]
pub struct Ft2DecodeResult {
pub message: FtxMessage,
pub dt_s: f32,
pub freq_hz: f32,
pub snr_db: f32,
}
/// FT2 pipeline state. Accumulates raw audio and runs the full decode flow.
pub struct Ft2Pipeline {
sample_rate: f32,
raw_audio: Vec<f32>,
raw_capacity: usize,
waveforms: SyncWaveforms,
peak_search: PeakSearchWorkspace,
// Cached FFT plans reused across decode cycles
ds_real_fft: Arc<dyn realfft::RealToComplex<f32>>,
ds_ifft: Arc<dyn rustfft::Fft<f32>>,
}
struct Ft2DecodeWorkspace {
downsample: DownsampleWorkspace,
downsample_a: Vec<Complex32>,
downsample_b: Vec<Complex32>,
signal: Vec<Complex32>,
bitmetrics: BitMetricsWorkspace,
}
impl Ft2DecodeWorkspace {
fn new(ctx: &DownsampleContext) -> Self {
let nfft2 = ctx.nfft2();
Self {
downsample: ctx.workspace(),
downsample_a: vec![Complex32::new(0.0, 0.0); nfft2],
downsample_b: vec![Complex32::new(0.0, 0.0); nfft2],
signal: vec![Complex32::new(0.0, 0.0); FT2_FRAME_SAMPLES],
bitmetrics: BitMetricsWorkspace::new(),
}
}
}
struct PeakSearchWorkspace {
window: Vec<f32>,
fft: std::sync::Arc<dyn realfft::RealToComplex<f32>>,
fft_input: Vec<f32>,
fft_output: Vec<Complex32>,
fft_scratch: Vec<Complex32>,
avg: Vec<f32>,
smooth: Vec<f32>,
baseline: Vec<f32>,
}
impl PeakSearchWorkspace {
fn new() -> Self {
let window = nuttall_window(FT2_NFFT1);
let mut planner = RealFftPlanner::<f32>::new();
let fft = planner.plan_fft_forward(FT2_NFFT1);
let fft_input = fft.make_input_vec();
let fft_output = fft.make_output_vec();
let fft_scratch = fft.make_scratch_vec();
Self {
window,
fft,
fft_input,
fft_output,
fft_scratch,
avg: vec![0.0; FT2_NH1],
smooth: vec![0.0; FT2_NH1],
baseline: vec![0.0; FT2_NH1],
}
}
}
impl Ft2Pipeline {
/// Create a new FT2 pipeline for the given sample rate.
pub fn new(sample_rate: i32) -> Self {
// Pre-build FFT plans for the downsample context (reused every decode cycle)
let nfft2 = FT2_NMAX / FT2_NDOWN;
let mut real_planner = RealFftPlanner::<f32>::new();
let ds_real_fft = real_planner.plan_fft_forward(FT2_NMAX);
let mut fft_planner = FftPlanner::<f32>::new();
let ds_ifft = fft_planner.plan_fft_inverse(nfft2);
Self {
sample_rate: sample_rate as f32,
raw_audio: Vec::with_capacity(FT2_NMAX),
raw_capacity: FT2_NMAX,
waveforms: prepare_sync_waveforms(),
peak_search: PeakSearchWorkspace::new(),
ds_real_fft,
ds_ifft,
}
}
/// Reset the pipeline, clearing all accumulated audio.
pub fn reset(&mut self) {
self.raw_audio.clear();
}
/// Accumulate raw audio samples. Returns true when the buffer is full.
pub fn accumulate(&mut self, samples: &[f32]) -> bool {
let remaining = self.raw_capacity.saturating_sub(self.raw_audio.len());
if remaining > 0 {
let n = remaining.min(samples.len());
self.raw_audio.extend_from_slice(&samples[..n]);
}
self.raw_audio.len() >= self.raw_capacity
}
/// Returns true when enough audio has been accumulated for decoding.
pub fn is_ready(&self) -> bool {
self.raw_audio.len() >= self.raw_capacity
}
/// Number of raw audio samples accumulated so far.
pub fn raw_len(&self) -> usize {
self.raw_audio.len()
}
/// Run the full FT2 decode pipeline. Returns decoded messages.
pub fn decode(&mut self, max_results: usize) -> Vec<Ft2DecodeResult> {
if self.raw_audio.len() < FT2_NFFT1 {
return Vec::new();
}
let ctx = match DownsampleContext::new_with_plans(
&self.raw_audio,
self.sample_rate,
Some(Arc::clone(&self.ds_real_fft)),
Some(Arc::clone(&self.ds_ifft)),
) {
Some(ctx) => ctx,
None => return Vec::new(),
};
let mut workspace = Ft2DecodeWorkspace::new(&ctx);
let hits = self.find_scan_hits(&ctx, &mut workspace);
if hits.is_empty() {
return Vec::new();
}
let mut results = Vec::new();
let mut seen_hashes: Vec<(u16, [u8; FTX_PAYLOAD_LENGTH_BYTES])> = Vec::new();
for hit in &hits {
if results.len() >= max_results {
break;
}
if let Some(result) = self.decode_hit(&ctx, hit, &mut workspace) {
// Dedup
let dominated = seen_hashes
.iter()
.any(|(h, p)| *h == result.message.hash && *p == result.message.payload);
if dominated {
continue;
}
seen_hashes.push((result.message.hash, result.message.payload));
results.push(result);
}
}
results
}
/// Find frequency peaks from averaged power spectrum.
fn find_frequency_peaks(&mut self) -> Vec<RawCandidate> {
if self.raw_audio.len() < FT2_NFFT1 {
return Vec::new();
}
let fs = self.sample_rate;
let df = fs / FT2_NFFT1 as f32;
let n_frames = 1 + (self.raw_audio.len() - FT2_NFFT1) / FT2_NSTEP;
let PeakSearchWorkspace {
window,
fft,
fft_input,
fft_output,
fft_scratch,
avg,
smooth,
baseline,
} = &mut self.peak_search;
avg.fill(0.0);
smooth.fill(0.0);
baseline.fill(0.0);
for frame in 0..n_frames {
let start = frame * FT2_NSTEP;
let input = &self.raw_audio[start..(start + FT2_NFFT1)];
for (dst, (&sample, &coeff)) in
fft_input.iter_mut().zip(input.iter().zip(window.iter()))
{
*dst = sample * coeff;
}
fft.process_with_scratch(fft_input, fft_output, fft_scratch)
.expect("FFT failed");
for (bin, c) in fft_output.iter().enumerate().take(FT2_NH1).skip(1) {
avg[bin] += c.norm_sqr();
}
}
let inv_n_frames = 1.0 / n_frames as f32;
for v in avg.iter_mut().take(FT2_NH1).skip(1) {
*v *= inv_n_frames;
}
// Smooth with 15-point moving average
if FT2_NH1 > 16 {
let mut sum: f32 = avg[1..16].iter().sum();
for bin in 8..FT2_NH1.saturating_sub(8) {
smooth[bin] = sum / 15.0;
if bin + 8 < FT2_NH1 {
sum += avg[bin + 8] - avg[bin - 7];
}
}
}
// Baseline with 63-point moving average
if FT2_NH1 > 64 {
let mut sum: f32 = smooth[1..64].iter().sum();
for bin in 32..FT2_NH1.saturating_sub(32) {
baseline[bin] = sum / 63.0 + 1e-9;
if bin + 32 < FT2_NH1 {
sum += smooth[bin + 32] - smooth[bin - 31];
}
}
}
// Find peaks
let min_bin = (200.0 / df).round() as usize;
let max_bin = (4910.0 / df).round() as usize;
let mut candidates = Vec::with_capacity(FT2_MAX_RAW_CANDIDATES);
let mut bin = min_bin + 1;
while bin < max_bin.saturating_sub(1) && candidates.len() < FT2_MAX_RAW_CANDIDATES {
if baseline[bin] <= 0.0 {
bin += 1;
continue;
}
let value = smooth[bin] / baseline[bin];
if value < 1.03 {
bin += 1;
continue;
}
let left = smooth[bin.saturating_sub(1)] / baseline[bin.saturating_sub(1)].max(1e-9);
let right = if bin + 1 < FT2_NH1 {
smooth[bin + 1] / baseline[bin + 1].max(1e-9)
} else {
0.0
};
if value < left || value < right {
bin += 1;
continue;
}
let den = left - 2.0 * value + right;
let delta = if den.abs() > 1e-6 {
0.5 * (left - right) / den
} else {
0.0
};
let freq_hz = (bin as f32 + delta) * df + ft2_frequency_offset_hz();
if !(200.0..=4910.0).contains(&freq_hz) {
bin += 1;
continue;
}
candidates.push(RawCandidate {
freq_hz,
score: value,
});
bin += 1;
}
// Sort by score descending
candidates.sort_by(|a, b| {
b.score
.partial_cmp(&a.score)
.unwrap_or(std::cmp::Ordering::Equal)
});
candidates
}
/// Find scan hits by downsampling each frequency peak and computing sync scores.
fn find_scan_hits(
&mut self,
ctx: &DownsampleContext,
workspace: &mut Ft2DecodeWorkspace,
) -> Vec<ScanHit> {
let peaks = self.find_frequency_peaks();
if peaks.is_empty() {
return Vec::new();
}
let mut hits = Vec::new();
for peak in &peaks {
if hits.len() >= FT2_MAX_SCAN_HITS {
break;
}
let produced = ctx.downsample_with_workspace(
peak.freq_hz,
&mut workspace.downsample_a,
&mut workspace.downsample,
);
if produced == 0 {
continue;
}
normalize_downsampled(&mut workspace.downsample_a[..produced], produced);
// Coarse search
let mut best_score: f32 = -1.0;
let mut best_start: i32 = 0;
let mut best_idf: i32 = 0;
let mut idf = -12i32;
while idf <= 12 {
let mut start = -688i32;
while start <= 2024 {
let score = sync2d_score(
&workspace.downsample_a[..produced],
start,
idf,
&self.waveforms,
);
if score > best_score {
best_score = score;
best_start = start;
best_idf = idf;
}
start += 4;
}
idf += 3;
}
if best_score < 0.40 {
continue;
}
// Fine refinement
for idf in (best_idf - 4)..=(best_idf + 4) {
if !(FT2_SYNC_TWEAK_MIN..=FT2_SYNC_TWEAK_MAX).contains(&idf) {
continue;
}
for start in (best_start - 5)..=(best_start + 5) {
let score = sync2d_score(
&workspace.downsample_a[..produced],
start,
idf,
&self.waveforms,
);
if score > best_score {
best_score = score;
best_start = start;
best_idf = idf;
}
}
}
if best_score < 0.40 {
continue;
}
hits.push(ScanHit {
freq_hz: peak.freq_hz,
snr0: peak.score - 1.0,
sync_score: best_score,
start: best_start,
idf: best_idf,
});
}
// Sort by sync score descending
hits.sort_by(|a, b| {
b.sync_score
.partial_cmp(&a.sync_score)
.unwrap_or(std::cmp::Ordering::Equal)
});
hits
}
/// Attempt to decode a single scan hit through the full pipeline.
fn decode_hit(
&self,
ctx: &DownsampleContext,
hit: &ScanHit,
workspace: &mut Ft2DecodeWorkspace,
) -> Option<Ft2DecodeResult> {
// Initial downsample for sync refinement
let produced = ctx.downsample_with_workspace(
hit.freq_hz,
&mut workspace.downsample_a,
&mut workspace.downsample,
);
if produced == 0 {
return None;
}
normalize_downsampled(&mut workspace.downsample_a[..produced], produced);
// Refine sync
let mut best_score: f32 = -1.0;
let mut best_start = hit.start;
let mut best_idf = hit.idf;
for idf in (hit.idf - 4)..=(hit.idf + 4) {
if !(FT2_SYNC_TWEAK_MIN..=FT2_SYNC_TWEAK_MAX).contains(&idf) {
continue;
}
for start in (hit.start - 5)..=(hit.start + 5) {
let score = sync2d_score(
&workspace.downsample_a[..produced],
start,
idf,
&self.waveforms,
);
if score > best_score {
best_score = score;
best_start = start;
best_idf = idf;
}
}
}
if best_score < 0.55 {
return None;
}
// Frequency correction
let corrected_freq_hz = hit.freq_hz + best_idf as f32;
if corrected_freq_hz <= 10.0 || corrected_freq_hz >= 4990.0 {
return None;
}
// Final downsample at corrected frequency
let produced2 = ctx.downsample_with_workspace(
corrected_freq_hz,
&mut workspace.downsample_b,
&mut workspace.downsample,
);
if produced2 == 0 {
return None;
}
normalize_downsampled(&mut workspace.downsample_b[..produced2], FT2_FRAME_SAMPLES);
// Extract signal region
extract_signal_region(
&workspace.downsample_b[..produced2],
best_start,
&mut workspace.signal,
);
// Extract bit metrics
let bitmetrics = workspace.bitmetrics.extract(&workspace.signal)?;
// Sync quality check using known Costas bit patterns
let sync_bits_a: [u8; 8] = [0, 0, 0, 1, 1, 0, 1, 1];
let sync_bits_b: [u8; 8] = [0, 1, 0, 0, 1, 1, 1, 0];
let sync_bits_c: [u8; 8] = [1, 1, 1, 0, 0, 1, 0, 0];
let sync_bits_d: [u8; 8] = [1, 0, 1, 1, 0, 0, 0, 1];
let mut sync_qual = 0;
for i in 0..8 {
sync_qual += if (bitmetrics[i][0] >= 0.0) as u8 == sync_bits_a[i] {
1
} else {
0
};
sync_qual += if (bitmetrics[66 + i][0] >= 0.0) as u8 == sync_bits_b[i] {
1
} else {
0
};
sync_qual += if (bitmetrics[132 + i][0] >= 0.0) as u8 == sync_bits_c[i] {
1
} else {
0
};
sync_qual += if (bitmetrics[198 + i][0] >= 0.0) as u8 == sync_bits_d[i] {
1
} else {
0
};
}
if sync_qual < 9 {
return None;
}
// Build 5 LLR passes from the 3 metric scales
let mut llr_passes = [[0.0f32; FTX_LDPC_N]; 5];
for i in 0..58 {
llr_passes[0][i] = bitmetrics[8 + i][0];
llr_passes[0][58 + i] = bitmetrics[74 + i][0];
llr_passes[0][116 + i] = bitmetrics[140 + i][0];
llr_passes[1][i] = bitmetrics[8 + i][1];
llr_passes[1][58 + i] = bitmetrics[74 + i][1];
llr_passes[1][116 + i] = bitmetrics[140 + i][1];
llr_passes[2][i] = bitmetrics[8 + i][2];
llr_passes[2][58 + i] = bitmetrics[74 + i][2];
llr_passes[2][116 + i] = bitmetrics[140 + i][2];
}
// Scale and derive combined passes
let [ref mut pass0, ref mut pass1, ref mut pass2, ref mut pass3, ref mut pass4] =
llr_passes;
for v in pass0.iter_mut() {
*v *= 2.83;
}
for v in pass1.iter_mut() {
*v *= 2.83;
}
for v in pass2.iter_mut() {
*v *= 2.83;
}
for ((&a, &b), (&c, (p3, p4))) in pass0
.iter()
.zip(pass1.iter())
.zip(pass2.iter().zip(pass3.iter_mut().zip(pass4.iter_mut())))
{
// Pass 3: max-abs metric
*p3 = if a.abs() >= b.abs() && a.abs() >= c.abs() {
a
} else if b.abs() >= c.abs() {
b
} else {
c
};
// Pass 4: average
*p4 = (a + b + c) / 3.0;
}
// Multi-pass LDPC decode using full BP+OSD decoder
let mut ok = false;
let mut message = FtxMessage::default();
let mut apmask = [0u8; FTX_LDPC_N];
for llr_pass in &llr_passes {
if ok {
break;
}
let mut log174 = *llr_pass;
let mut message91 = [0u8; FTX_LDPC_K];
let mut cw = [0u8; FTX_LDPC_N];
let mut ntype = 0i32;
let mut nharderror = -1i32;
let mut dmin = 0.0f32;
crate::common::osd::ft2_decode174_91_osd(
&mut log174,
FTX_LDPC_K,
4,
3,
&mut apmask,
&mut message91,
&mut cw,
&mut ntype,
&mut nharderror,
&mut dmin,
);
if ntype > 0 && nharderror >= 0 {
if let Some(msg) = verify_crc_and_build_message(&cw, true) {
message = msg;
ok = true;
}
}
}
if !ok {
return None;
}
// Compute refined timing via parabolic interpolation
let sm1 = sync2d_score(
&workspace.downsample_a[..produced],
best_start - 1,
best_idf,
&self.waveforms,
);
let sp1 = sync2d_score(
&workspace.downsample_a[..produced],
best_start + 1,
best_idf,
&self.waveforms,
);
let mut xstart = best_start as f32;
let den = sm1 - 2.0 * best_score + sp1;
if den.abs() > 1e-6 {
xstart += 0.5 * (sm1 - sp1) / den;
}
let dt_s = xstart / (12000.0 / FT2_NDOWN as f32) - 0.5;
let snr_db = if hit.snr0 > 0.0 {
(10.0 * hit.snr0.log10() - 13.0).max(-21.0)
} else {
-21.0
};
Some(Ft2DecodeResult {
message,
dt_s,
freq_hz: corrected_freq_hz,
snr_db,
})
}
}
/// Compute a Nuttall window of length `n`.
fn nuttall_window(n: usize) -> Vec<f32> {
let a0: f32 = 0.355768;
let a1: f32 = 0.487396;
let a2: f32 = 0.144232;
let a3: f32 = 0.012604;
(0..n)
.map(|i| {
let phase = 2.0 * std::f32::consts::PI * i as f32 / (n - 1) as f32;
a0 - a1 * phase.cos() + a2 * (2.0 * phase).cos() - a3 * (3.0 * phase).cos()
})
.collect()
}
/// Normalize complex downsampled signal to unit power.
fn normalize_downsampled(samples: &mut [Complex32], ref_count: usize) {
let power: f32 = samples.iter().map(|s| s.norm_sqr()).sum();
if power <= 0.0 {
return;
}
let rc = if ref_count == 0 {
samples.len()
} else {
ref_count
};
let scale = (rc as f32 / power).sqrt();
for s in samples.iter_mut() {
*s *= scale;
}
}
/// Extract a signal region starting at `start` into `out_signal`.
fn extract_signal_region(input: &[Complex32], start: i32, out_signal: &mut [Complex32]) {
out_signal.fill(Complex32::new(0.0, 0.0));
let src_start = start.max(0) as usize;
let dst_start = (-start).max(0) as usize;
if dst_start >= out_signal.len() || src_start >= input.len() {
return;
}
let copy_len = (input.len() - src_start).min(out_signal.len() - dst_start);
out_signal[dst_start..(dst_start + copy_len)]
.copy_from_slice(&input[src_start..(src_start + copy_len)]);
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn nuttall_window_length() {
let w = nuttall_window(64);
assert_eq!(w.len(), 64);
}
#[test]
fn nuttall_window_symmetric() {
let w = nuttall_window(128);
for i in 0..64 {
assert!(
(w[i] - w[127 - i]).abs() < 1e-6,
"Window not symmetric at index {}",
i
);
}
}
#[test]
fn pipeline_accumulate() {
let mut pipe = Ft2Pipeline::new(12000);
let samples = vec![0.0f32; 1000];
assert!(!pipe.accumulate(&samples));
assert_eq!(pipe.raw_len(), 1000);
}
#[test]
fn pipeline_ready() {
let mut pipe = Ft2Pipeline::new(12000);
let samples = vec![0.0f32; FT2_NMAX];
assert!(pipe.accumulate(&samples));
assert!(pipe.is_ready());
}
#[test]
fn normalize_downsampled_zero_power() {
let mut samples = vec![Complex32::new(0.0, 0.0); 16];
normalize_downsampled(&mut samples, 16);
// Should not crash or produce NaN
for s in &samples {
assert!(!s.re.is_nan());
assert!(!s.im.is_nan());
}
}
#[test]
fn encode174_to_bits_all_zeros() {
let a91 = [0u8; FTX_LDPC_K_BYTES];
let cw = crate::common::encode::encode174_to_bits(&a91);
for &b in &cw {
assert_eq!(b, 0);
}
}
#[test]
fn ft2_encode_matches_ft4() {
let payload = [0x12, 0x34, 0x56, 0x78, 0x9A, 0xBC, 0xDE, 0xF0, 0x11, 0x20];
let mut tones_ft4 = [0u8; FT4_NN];
let mut tones_ft2 = [0u8; FT4_NN];
crate::ft4::ft4_encode(&payload, &mut tones_ft4);
ft2_encode(&payload, &mut tones_ft2);
assert_eq!(tones_ft4, tones_ft2);
}
}
+308
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@@ -0,0 +1,308 @@
// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! 2D sync scoring with complex Costas reference waveforms.
//!
//! Prepares reference sync waveforms from the FT4 Costas pattern and frequency
//! tweak phasors, then correlates downsampled complex symbols against the
//! reference across time and frequency offsets.
use num_complex::Complex32;
use std::sync::OnceLock;
use crate::common::constants::FT4_COSTAS_PATTERN;
use super::{FT2_NDOWN, FT2_NSS, FT2_SYMBOL_PERIOD_F, FT2_SYNC_TWEAK_MAX, FT2_SYNC_TWEAK_MIN};
/// Number of frequency tweak entries.
const NUM_TWEAKS: usize = (FT2_SYNC_TWEAK_MAX - FT2_SYNC_TWEAK_MIN) as usize + 1;
const SYNC_GROUP_COUNT: usize = 4;
const SYNC_SAMPLES: usize = 64;
const SAMPLE_STRIDE: usize = 2;
const GROUP_STRIDE: i32 = 33 * FT2_NSS as i32;
const GROUP_LAST_SAMPLE_OFFSET: i32 = SAMPLE_STRIDE as i32 * (SYNC_SAMPLES as i32 - 1);
const FRAME_LAST_SAMPLE_OFFSET: i32 = 3 * GROUP_STRIDE + GROUP_LAST_SAMPLE_OFFSET;
/// Precomputed sync and frequency-tweak waveforms.
pub struct SyncWaveforms {
/// Complex reference waveforms for each of the 4 Costas sync groups.
/// Each group has 64 samples (4 tones * 16 samples per half-symbol).
pub sync_wave: [[Complex32; 64]; 4],
/// Frequency tweak phasors for each integer frequency offset.
/// Index by `idf - FT2_SYNC_TWEAK_MIN`.
pub tweak_wave: [[Complex32; 64]; NUM_TWEAKS],
}
/// Prepare complex reference waveforms for sync scoring.
///
/// For each of the 4 Costas sync groups, we generate the expected complex
/// signal using continuous-phase tone generation at the downsampled rate.
/// We also generate frequency-tweak phasors for fine frequency searching.
pub fn prepare_sync_waveforms() -> SyncWaveforms {
let fs_down = 12000.0f32 / FT2_NDOWN as f32;
let nss = FT2_SYMBOL_PERIOD_F * fs_down;
let mut sync_wave = [[Complex32::new(0.0, 0.0); 64]; 4];
let mut tweak_wave = [[Complex32::new(0.0, 0.0); 64]; NUM_TWEAKS];
// Build sync reference waveforms (continuous phase across tones)
for group in 0..4 {
let mut idx = 0usize;
let mut phase = 0.0f32;
for &costas_tone in FT4_COSTAS_PATTERN[group].iter() {
let tone = costas_tone as f32;
let dphase = 4.0 * std::f32::consts::PI * tone / nss;
let half_nss = (nss / 2.0) as usize;
for _step in 0..half_nss {
if idx >= 64 {
break;
}
sync_wave[group][idx] = Complex32::new(phase.cos(), phase.sin());
phase = (phase + dphase) % (2.0 * std::f32::consts::PI);
idx += 1;
}
}
}
// Build frequency tweak phasors
for idf in FT2_SYNC_TWEAK_MIN..=FT2_SYNC_TWEAK_MAX {
let tw_idx = (idf - FT2_SYNC_TWEAK_MIN) as usize;
for (n, tw) in tweak_wave[tw_idx].iter_mut().enumerate() {
let phase = 4.0 * std::f32::consts::PI * idf as f32 * n as f32 / fs_down;
*tw = Complex32::new(phase.cos(), phase.sin());
}
}
SyncWaveforms {
sync_wave,
tweak_wave,
}
}
type SyncReferenceBank = [[[Complex32; SYNC_SAMPLES]; SYNC_GROUP_COUNT]; NUM_TWEAKS];
fn sync_reference_bank() -> &'static SyncReferenceBank {
static REFS: OnceLock<SyncReferenceBank> = OnceLock::new();
REFS.get_or_init(|| {
let waveforms = prepare_sync_waveforms();
let mut refs = [[[Complex32::new(0.0, 0.0); SYNC_SAMPLES]; SYNC_GROUP_COUNT]; NUM_TWEAKS];
for (tw_idx, refs_tw) in refs.iter_mut().enumerate() {
for (group, refs_group) in refs_tw.iter_mut().enumerate() {
for (i, r) in refs_group.iter_mut().enumerate() {
*r = (waveforms.sync_wave[group][i] * waveforms.tweak_wave[tw_idx][i]).conj();
}
}
}
refs
})
}
#[inline(always)]
fn correlate_group_fast(
samples: &[Complex32],
pos: usize,
refs: &[Complex32; SYNC_SAMPLES],
) -> f32 {
let mut sum_re = 0.0f32;
let mut sum_im = 0.0f32;
for i in 0..SYNC_SAMPLES {
let sample = samples[pos + i * SAMPLE_STRIDE];
let reference = refs[i];
sum_re += sample.re * reference.re - sample.im * reference.im;
sum_im += sample.re * reference.im + sample.im * reference.re;
}
(sum_re * sum_re + sum_im * sum_im).sqrt()
}
#[inline(always)]
fn correlate_group_clipped(
samples: &[Complex32],
pos: i32,
refs: &[Complex32; SYNC_SAMPLES],
) -> (f32, usize) {
let mut sum_re = 0.0f32;
let mut sum_im = 0.0f32;
let mut usable = 0usize;
let n_samples = samples.len() as i32;
for (i, &reference) in refs.iter().enumerate() {
let sample_idx = pos + i as i32 * SAMPLE_STRIDE as i32;
if sample_idx < 0 || sample_idx >= n_samples {
continue;
}
let sample = samples[sample_idx as usize];
sum_re += sample.re * reference.re - sample.im * reference.im;
sum_im += sample.re * reference.im + sample.im * reference.re;
usable += 1;
}
((sum_re * sum_re + sum_im * sum_im).sqrt(), usable)
}
/// Compute the 2D sync score for a given time offset and frequency tweak.
///
/// Correlates the downsampled complex samples against the four Costas sync
/// group reference waveforms, applying the specified frequency tweak.
///
/// `samples`: downsampled complex baseband signal.
/// `start`: sample offset for the start of the frame.
/// `idf`: integer frequency tweak (Hz).
/// `waveforms`: precomputed reference waveforms.
///
/// Returns the sync correlation score (higher is better).
pub fn sync2d_score(
samples: &[Complex32],
start: i32,
idf: i32,
_waveforms: &SyncWaveforms,
) -> f32 {
let n_samples = samples.len() as i32;
let tw_idx = (idf - FT2_SYNC_TWEAK_MIN) as usize;
if tw_idx >= NUM_TWEAKS {
return 0.0;
}
let refs = &sync_reference_bank()[tw_idx];
let scale = 1.0 / (2.0 * FT2_NSS as f32);
let mut score = 0.0f32;
if start >= 0 && start + FRAME_LAST_SAMPLE_OFFSET < n_samples {
for (group, refs_group) in refs.iter().enumerate() {
let pos = (start + group as i32 * GROUP_STRIDE) as usize;
score += correlate_group_fast(samples, pos, refs_group) * scale;
}
return score;
}
for (group, refs_group) in refs.iter().enumerate() {
let pos = start + group as i32 * GROUP_STRIDE;
if pos >= n_samples || pos + GROUP_LAST_SAMPLE_OFFSET < 0 {
continue;
}
let (corr, usable) = correlate_group_clipped(samples, pos, refs_group);
if usable > 16 {
score += corr * scale;
}
}
score
}
/// Refine frequency tweak around a coarse estimate.
///
/// Searches `idf` values from `center_idf - range` to `center_idf + range`
/// and `start` values from `center_start - start_range` to
/// `center_start + start_range`, returning the best score and parameters.
pub fn refine_sync(
samples: &[Complex32],
center_start: i32,
center_idf: i32,
start_range: i32,
idf_range: i32,
waveforms: &SyncWaveforms,
) -> (f32, i32, i32) {
let mut best_score: f32 = -1.0;
let mut best_start = center_start;
let mut best_idf = center_idf;
for idf in (center_idf - idf_range)..=(center_idf + idf_range) {
if !(FT2_SYNC_TWEAK_MIN..=FT2_SYNC_TWEAK_MAX).contains(&idf) {
continue;
}
for start in (center_start - start_range)..=(center_start + start_range) {
let score = sync2d_score(samples, start, idf, waveforms);
if score > best_score {
best_score = score;
best_start = start;
best_idf = idf;
}
}
}
(best_score, best_start, best_idf)
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn waveform_preparation() {
let wf = prepare_sync_waveforms();
// Sync waveforms should have unit magnitude at each sample
for group in 0..4 {
for i in 0..64 {
let mag = wf.sync_wave[group][i].norm();
assert!(
(mag - 1.0).abs() < 1e-4,
"Sync wave group {} sample {} has magnitude {}, expected ~1.0",
group,
i,
mag
);
}
}
}
#[test]
fn tweak_waveform_unit_magnitude() {
let wf = prepare_sync_waveforms();
for tw in &wf.tweak_wave {
for &s in tw {
let mag = s.norm();
assert!(
(mag - 1.0).abs() < 1e-4,
"Tweak wave magnitude {} should be ~1.0",
mag
);
}
}
}
#[test]
fn sync_score_zero_signal() {
let wf = prepare_sync_waveforms();
let samples = vec![Complex32::new(0.0, 0.0); 5000];
let score = sync2d_score(&samples, 0, 0, &wf);
assert!(
score.abs() < 1e-6,
"Score of zero signal should be ~0, got {}",
score
);
}
#[test]
fn sync_score_out_of_range_idf() {
let wf = prepare_sync_waveforms();
let samples = vec![Complex32::new(1.0, 0.0); 5000];
let score = sync2d_score(&samples, 0, FT2_SYNC_TWEAK_MAX + 100, &wf);
assert_eq!(score, 0.0);
}
#[test]
fn refine_improves_on_coarse() {
let wf = prepare_sync_waveforms();
// Create a simple signal where the coarse and fine searches should
// produce non-negative scores
let samples = vec![Complex32::new(0.1, 0.05); 5000];
let (score, _start, _idf) = refine_sync(&samples, 100, 0, 5, 4, &wf);
assert!(score >= 0.0);
}
#[test]
fn num_tweaks_matches_range() {
assert_eq!(
NUM_TWEAKS,
(FT2_SYNC_TWEAK_MAX - FT2_SYNC_TWEAK_MIN + 1) as usize
);
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! FT4-specific sync scoring, likelihood extraction, and tone encoding.
use crate::common::constants::*;
use crate::common::crc::ftx_add_crc;
use crate::common::decode::{get_cand_offset, wf_mag_safe, Candidate};
use crate::common::encode::encode174;
use crate::common::monitor::Waterfall;
use crate::common::protocol::*;
/// Compute FT4 sync score for a candidate.
pub(crate) fn ft4_sync_score(wf: &Waterfall, cand: &Candidate) -> i32 {
let base = get_cand_offset(wf, cand);
let mut score: i32 = 0;
let mut num_average: i32 = 0;
for (m, costas_group) in FT4_COSTAS_PATTERN.iter().enumerate().take(FT4_NUM_SYNC) {
for (k, &sm_val) in costas_group.iter().enumerate().take(FT4_LENGTH_SYNC) {
let block = 1 + FT4_SYNC_OFFSET * m + k;
let block_abs = cand.time_offset as i32 + block as i32;
if block_abs < 0 {
continue;
}
if block_abs >= wf.num_blocks as i32 {
break;
}
let p_offset = base + block * wf.block_stride;
let sm = sm_val as usize;
if sm > 0 {
let a = wf_mag_safe(wf, p_offset + sm).mag_int();
let b = wf_mag_safe(wf, p_offset + sm - 1).mag_int();
score += a - b;
num_average += 1;
}
if sm < 3 {
let a = wf_mag_safe(wf, p_offset + sm).mag_int();
let b = wf_mag_safe(wf, p_offset + sm + 1).mag_int();
score += a - b;
num_average += 1;
}
if k > 0 && block_abs > 0 {
let a = wf_mag_safe(wf, p_offset + sm).mag_int();
let b_idx = (p_offset + sm).wrapping_sub(wf.block_stride);
let b = if b_idx < wf.mag.len() {
wf.mag[b_idx].mag_int()
} else {
0
};
score += a - b;
num_average += 1;
}
if k + 1 < FT4_LENGTH_SYNC && block_abs + 1 < wf.num_blocks as i32 {
let a = wf_mag_safe(wf, p_offset + sm).mag_int();
let b = wf_mag_safe(wf, p_offset + sm + wf.block_stride).mag_int();
score += a - b;
num_average += 1;
}
}
}
if num_average > 0 {
score / num_average
} else {
0
}
}
/// Extract log-likelihood ratios for FT4 symbols.
pub(crate) fn ft4_extract_likelihood(
wf: &Waterfall,
cand: &Candidate,
log174: &mut [f32; FTX_LDPC_N],
) {
let base = get_cand_offset(wf, cand);
for k in 0..FT4_ND {
let sym_idx = k + if k < 29 {
5
} else if k < 58 {
9
} else {
13
};
let bit_idx = 2 * k;
let block = cand.time_offset as i32 + sym_idx as i32;
if block < 0 || block >= wf.num_blocks as i32 {
log174[bit_idx] = 0.0;
log174[bit_idx + 1] = 0.0;
} else {
let p_offset = base + sym_idx * wf.block_stride;
ft4_extract_symbol(wf, p_offset, &mut log174[bit_idx..bit_idx + 2]);
}
}
}
fn ft4_extract_symbol(wf: &Waterfall, offset: usize, logl: &mut [f32]) {
let mut s2 = [0.0f32; 4];
for j in 0..4 {
s2[j] = wf_mag_safe(wf, offset + FT4_GRAY_MAP[j] as usize).mag;
}
logl[0] = s2[2].max(s2[3]) - s2[0].max(s2[1]);
logl[1] = s2[1].max(s2[3]) - s2[0].max(s2[2]);
}
/// Generate FT4 tone sequence from payload data.
///
/// `payload` is a 10-byte array containing 77 bits of payload data.
/// `tones` is an array of `FT4_NN` (105) bytes to store the generated tones (encoded as 0..3).
///
/// The payload is XOR'd with `FT4_XOR_SEQUENCE` before CRC computation to avoid
/// transmitting long runs of zeros when sending CQ messages.
///
/// Message structure: R S4_1 D29 S4_2 D29 S4_3 D29 S4_4 R
pub fn ft4_encode(payload: &[u8], tones: &mut [u8]) {
let mut payload_xor = [0u8; 10];
// XOR payload with pseudorandom sequence
for i in 0..10 {
payload_xor[i] = payload[i] ^ FT4_XOR_SEQUENCE[i];
}
let mut a91 = [0u8; FTX_LDPC_K_BYTES];
// Compute and add CRC at the end of the message
ftx_add_crc(&payload_xor, &mut a91);
let mut codeword = [0u8; FTX_LDPC_N_BYTES];
encode174(&a91, &mut codeword);
let mut mask: u8 = 0x80;
let mut i_byte: usize = 0;
for i_tone in 0..FT4_NN {
if i_tone == 0 || i_tone == 104 {
tones[i_tone] = 0; // R (ramp) symbol
} else if (1..5).contains(&i_tone) {
tones[i_tone] = FT4_COSTAS_PATTERN[0][i_tone - 1];
} else if (34..38).contains(&i_tone) {
tones[i_tone] = FT4_COSTAS_PATTERN[1][i_tone - 34];
} else if (67..71).contains(&i_tone) {
tones[i_tone] = FT4_COSTAS_PATTERN[2][i_tone - 67];
} else if (100..104).contains(&i_tone) {
tones[i_tone] = FT4_COSTAS_PATTERN[3][i_tone - 100];
} else {
// Extract 2 bits from codeword
let mut bits2: u8 = 0;
if codeword[i_byte] & mask != 0 {
bits2 |= 2;
}
mask >>= 1;
if mask == 0 {
mask = 0x80;
i_byte += 1;
}
if codeword[i_byte] & mask != 0 {
bits2 |= 1;
}
mask >>= 1;
if mask == 0 {
mask = 0x80;
i_byte += 1;
}
tones[i_tone] = FT4_GRAY_MAP[bits2 as usize];
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn ft4_encode_length() {
let payload = [0u8; 10];
let mut tones = [0u8; FT4_NN];
ft4_encode(&payload, &mut tones);
assert_eq!(tones.len(), 105);
}
#[test]
fn ft4_encode_ramp_symbols() {
let payload = [0u8; 10];
let mut tones = [0u8; FT4_NN];
ft4_encode(&payload, &mut tones);
assert_eq!(tones[0], 0, "First ramp symbol should be 0");
assert_eq!(tones[104], 0, "Last ramp symbol should be 0");
}
#[test]
fn ft4_encode_costas_sync() {
let payload = [0u8; 10];
let mut tones = [0u8; FT4_NN];
ft4_encode(&payload, &mut tones);
// Verify four Costas sync groups
for i in 0..4 {
assert_eq!(tones[1 + i], FT4_COSTAS_PATTERN[0][i], "S4_1 at {i}");
}
for i in 0..4 {
assert_eq!(tones[34 + i], FT4_COSTAS_PATTERN[1][i], "S4_2 at {i}");
}
for i in 0..4 {
assert_eq!(tones[67 + i], FT4_COSTAS_PATTERN[2][i], "S4_3 at {i}");
}
for i in 0..4 {
assert_eq!(tones[100 + i], FT4_COSTAS_PATTERN[3][i], "S4_4 at {i}");
}
}
#[test]
fn ft4_encode_tones_in_range() {
let payload = [0xAB, 0xCD, 0xEF, 0x01, 0x23, 0x45, 0x67, 0x89, 0x0A, 0xB0];
let mut tones = [0u8; FT4_NN];
ft4_encode(&payload, &mut tones);
for (i, &t) in tones.iter().enumerate() {
assert!(t < 4, "FT4 tone at position {i} out of range: {t}");
}
}
#[test]
fn ft4_encode_deterministic() {
let payload = [0xDE, 0xAD, 0xBE, 0xEF, 0xCA, 0xFE, 0xBA, 0xBE, 0x00, 0x10];
let mut tones1 = [0u8; FT4_NN];
let mut tones2 = [0u8; FT4_NN];
ft4_encode(&payload, &mut tones1);
ft4_encode(&payload, &mut tones2);
assert_eq!(tones1, tones2);
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
//! FT8-specific sync scoring, likelihood extraction, and tone encoding.
use crate::common::constants::*;
use crate::common::crc::ftx_add_crc;
use crate::common::decode::{get_cand_offset, wf_mag_safe, Candidate};
use crate::common::encode::encode174;
use crate::common::monitor::Waterfall;
use crate::common::protocol::*;
/// Compute FT8 sync score for a candidate.
pub(crate) fn ft8_sync_score(wf: &Waterfall, cand: &Candidate) -> i32 {
let base = get_cand_offset(wf, cand);
let mut score: i32 = 0;
let mut num_average: i32 = 0;
for m in 0..FT8_NUM_SYNC {
for (k, &sm_val) in FT8_COSTAS_PATTERN.iter().enumerate().take(FT8_LENGTH_SYNC) {
let block = FT8_SYNC_OFFSET * m + k;
let block_abs = cand.time_offset as i32 + block as i32;
if block_abs < 0 {
continue;
}
if block_abs >= wf.num_blocks as i32 {
break;
}
let p_offset = base + block * wf.block_stride;
let sm = sm_val as usize;
if sm > 0 {
let a = wf_mag_safe(wf, p_offset + sm).mag_int();
let b = wf_mag_safe(wf, p_offset + sm - 1).mag_int();
score += a - b;
num_average += 1;
}
if sm < 7 {
let a = wf_mag_safe(wf, p_offset + sm).mag_int();
let b = wf_mag_safe(wf, p_offset + sm + 1).mag_int();
score += a - b;
num_average += 1;
}
if k > 0 && block_abs > 0 {
let a = wf_mag_safe(wf, p_offset + sm).mag_int();
let b_idx = (p_offset + sm).wrapping_sub(wf.block_stride);
let b = if b_idx < wf.mag.len() {
wf.mag[b_idx].mag_int()
} else {
0
};
score += a - b;
num_average += 1;
}
if k + 1 < FT8_LENGTH_SYNC && block_abs + 1 < wf.num_blocks as i32 {
let a = wf_mag_safe(wf, p_offset + sm).mag_int();
let b = wf_mag_safe(wf, p_offset + sm + wf.block_stride).mag_int();
score += a - b;
num_average += 1;
}
}
}
if num_average > 0 {
score / num_average
} else {
0
}
}
/// Extract log-likelihood ratios for FT8 symbols.
pub(crate) fn ft8_extract_likelihood(
wf: &Waterfall,
cand: &Candidate,
log174: &mut [f32; FTX_LDPC_N],
) {
let base = get_cand_offset(wf, cand);
for k in 0..FT8_ND {
let sym_idx = k + if k < 29 { 7 } else { 14 };
let bit_idx = 3 * k;
let block = cand.time_offset as i32 + sym_idx as i32;
if block < 0 || block >= wf.num_blocks as i32 {
log174[bit_idx] = 0.0;
log174[bit_idx + 1] = 0.0;
log174[bit_idx + 2] = 0.0;
} else {
let p_offset = base + sym_idx * wf.block_stride;
ft8_extract_symbol(wf, p_offset, &mut log174[bit_idx..bit_idx + 3]);
}
}
}
fn ft8_extract_symbol(wf: &Waterfall, offset: usize, logl: &mut [f32]) {
let mut s2 = [0.0f32; 8];
for j in 0..8 {
s2[j] = wf_mag_safe(wf, offset + FT8_GRAY_MAP[j] as usize).mag;
}
logl[0] = max4(s2[4], s2[5], s2[6], s2[7]) - max4(s2[0], s2[1], s2[2], s2[3]);
logl[1] = max4(s2[2], s2[3], s2[6], s2[7]) - max4(s2[0], s2[1], s2[4], s2[5]);
logl[2] = max4(s2[1], s2[3], s2[5], s2[7]) - max4(s2[0], s2[2], s2[4], s2[6]);
}
fn max4(a: f32, b: f32, c: f32, d: f32) -> f32 {
a.max(b).max(c.max(d))
}
/// Generate FT8 tone sequence from payload data.
///
/// `payload` is a 10-byte array containing 77 bits of payload data.
/// `tones` is an array of `FT8_NN` (79) bytes to store the generated tones (encoded as 0..7).
///
/// Message structure: S7 D29 S7 D29 S7
pub fn ft8_encode(payload: &[u8], tones: &mut [u8]) {
let mut a91 = [0u8; FTX_LDPC_K_BYTES];
// Compute and add CRC at the end of the message
ftx_add_crc(payload, &mut a91);
let mut codeword = [0u8; FTX_LDPC_N_BYTES];
encode174(&a91, &mut codeword);
let mut mask: u8 = 0x80;
let mut i_byte: usize = 0;
for i_tone in 0..FT8_NN {
if i_tone < 7 {
tones[i_tone] = FT8_COSTAS_PATTERN[i_tone];
} else if (36..43).contains(&i_tone) {
tones[i_tone] = FT8_COSTAS_PATTERN[i_tone - 36];
} else if (72..79).contains(&i_tone) {
tones[i_tone] = FT8_COSTAS_PATTERN[i_tone - 72];
} else {
// Extract 3 bits from codeword
let mut bits3: u8 = 0;
if codeword[i_byte] & mask != 0 {
bits3 |= 4;
}
mask >>= 1;
if mask == 0 {
mask = 0x80;
i_byte += 1;
}
if codeword[i_byte] & mask != 0 {
bits3 |= 2;
}
mask >>= 1;
if mask == 0 {
mask = 0x80;
i_byte += 1;
}
if codeword[i_byte] & mask != 0 {
bits3 |= 1;
}
mask >>= 1;
if mask == 0 {
mask = 0x80;
i_byte += 1;
}
tones[i_tone] = FT8_GRAY_MAP[bits3 as usize];
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn ft8_encode_length() {
let payload = [0u8; 10];
let mut tones = [0u8; FT8_NN];
ft8_encode(&payload, &mut tones);
assert_eq!(tones.len(), 79);
}
#[test]
fn ft8_encode_costas_sync() {
let payload = [0u8; 10];
let mut tones = [0u8; FT8_NN];
ft8_encode(&payload, &mut tones);
// Verify the three Costas sync patterns at positions 0..7, 36..43, 72..79
for i in 0..7 {
assert_eq!(tones[i], FT8_COSTAS_PATTERN[i], "Costas S1 mismatch at {i}");
assert_eq!(
tones[36 + i],
FT8_COSTAS_PATTERN[i],
"Costas S2 mismatch at {}",
36 + i
);
assert_eq!(
tones[72 + i],
FT8_COSTAS_PATTERN[i],
"Costas S3 mismatch at {}",
72 + i
);
}
}
#[test]
fn ft8_encode_tones_in_range() {
let payload = [0xAB, 0xCD, 0xEF, 0x01, 0x23, 0x45, 0x67, 0x89, 0x0A, 0xB0];
let mut tones = [0u8; FT8_NN];
ft8_encode(&payload, &mut tones);
for (i, &t) in tones.iter().enumerate() {
assert!(t < 8, "FT8 tone at position {i} out of range: {t}");
}
}
#[test]
fn ft8_encode_deterministic() {
let payload = [0xDE, 0xAD, 0xBE, 0xEF, 0xCA, 0xFE, 0xBA, 0xBE, 0x00, 0x10];
let mut tones1 = [0u8; FT8_NN];
let mut tones2 = [0u8; FT8_NN];
ft8_encode(&payload, &mut tones1);
ft8_encode(&payload, &mut tones2);
assert_eq!(tones1, tones2);
}
#[test]
fn ft8_encode_different_payloads_differ() {
let payload1 = [0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00];
let payload2 = [0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xF0];
let mut tones1 = [0u8; FT8_NN];
let mut tones2 = [0u8; FT8_NN];
ft8_encode(&payload1, &mut tones1);
ft8_encode(&payload2, &mut tones2);
// Data tones should differ (sync tones are the same)
assert_ne!(tones1, tones2);
}
}
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// SPDX-FileCopyrightText: 2026 Stan Grams <sjg@haxx.space>
//
// SPDX-License-Identifier: GPL-2.0-or-later
pub mod common;
mod decoder;
#[cfg(feature = "ft2")]
pub mod ft2;
pub mod ft4;
pub mod ft8;
pub use decoder::{Ft8DecodeResult, Ft8Decoder};