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//! Multi-symbol rANS encoder.
//!
//! [`RAnsSymbolEncoder`] builds a probability table from symbol frequencies and
//! rANS-encodes symbols at a compile-time precision (`RANS_PRECISION_BITS`).
//! Encode-side counterpart of `RAnsSymbolDecoder`. Port of Draco's
//! `rans_symbol_encoder.h`.
use crate::ans::AnsCoder;
use crate::encoder_buffer::EncoderBuffer;
use crate::rans_symbol_coding::RAnsSymbol;
pub struct RAnsSymbolEncoder<const RANS_PRECISION_BITS: u32> {
pub ans: AnsCoder,
probability_table: Vec<RAnsSymbol>,
num_symbols: usize,
}
impl<const RANS_PRECISION_BITS: u32> Default for RAnsSymbolEncoder<RANS_PRECISION_BITS> {
fn default() -> Self {
Self::new()
}
}
impl<const RANS_PRECISION_BITS: u32> RAnsSymbolEncoder<RANS_PRECISION_BITS> {
const RANS_PRECISION: u32 = 1 << RANS_PRECISION_BITS;
const L_RANS_BASE: u32 = Self::RANS_PRECISION * 4;
pub fn new() -> Self {
Self {
ans: AnsCoder::new(),
probability_table: Vec::new(),
num_symbols: 0,
}
}
pub fn create(
&mut self,
frequencies: &[u64],
num_symbols: usize,
buffer: &mut EncoderBuffer,
) -> bool {
// Compute the total of the input frequencies.
let mut total_freq: u64 = 0;
let mut max_valid_symbol = 0;
for (i, &freq) in frequencies.iter().enumerate().take(num_symbols) {
total_freq += freq;
if freq > 0 {
max_valid_symbol = i;
}
}
let num_symbols = max_valid_symbol + 1;
self.num_symbols = num_symbols;
self.probability_table
.resize(num_symbols, RAnsSymbol::default());
#[cfg(feature = "debug_logs")]
let debug_cmp = crate::debug_env_enabled("DRACO_DEBUG_CMP");
#[cfg(not(feature = "debug_logs"))]
let debug_cmp = false;
if debug_cmp {
debug_log!(
"RUST RANS create: num_symbols={} total_freq={}",
num_symbols,
total_freq
);
debug_log!(
"RUST RANS frequencies: {:?}",
&frequencies[..num_symbols.min(frequencies.len())]
);
}
if total_freq == 0 {
return false;
}
let total_freq_d = total_freq as f64;
let rans_precision_d = Self::RANS_PRECISION as f64;
let mut total_rans_prob: u32 = 0;
for i in 0..num_symbols {
let freq = frequencies[i];
let prob = freq as f64 / total_freq_d;
let mut rans_prob = (prob * rans_precision_d + 0.5) as u32;
if rans_prob == 0 && freq > 0 {
rans_prob = 1;
}
self.probability_table[i].prob = rans_prob;
total_rans_prob += rans_prob;
}
if debug_cmp {
debug_log!(
"RUST RANS initial probs (before norm): {:?}",
self.probability_table
.iter()
.map(|s| s.prob)
.collect::<Vec<_>>()
);
debug_log!(
"RUST RANS total_rans_prob: {} vs precision: {}",
total_rans_prob,
Self::RANS_PRECISION
);
}
if total_rans_prob < Self::RANS_PRECISION {
let mut largest_probability = 0;
for i in 1..num_symbols {
if self.probability_table[i].prob
>= self.probability_table[largest_probability].prob
{
largest_probability = i;
}
}
if debug_cmp {
debug_log!(
"RUST RANS largest_probability: {} prob={}",
largest_probability,
self.probability_table[largest_probability].prob
);
debug_log!("RUST RANS total_rans_prob before fix: {}", total_rans_prob);
}
self.probability_table[largest_probability].prob +=
Self::RANS_PRECISION - total_rans_prob;
} else if total_rans_prob > Self::RANS_PRECISION {
let mut sorted_probabilities: Vec<usize> = (0..num_symbols).collect();
// Use stable sort to match C++ std::stable_sort behavior
// Rust Vec::sort_by is documented to be stable
sorted_probabilities.sort_by(|&a, &b| {
self.probability_table[a]
.prob
.cmp(&self.probability_table[b].prob)
});
if debug_cmp {
debug_log!("RUST RANS sorted_probabilities: {:?}", sorted_probabilities);
debug_log!("RUST RANS total_rans_prob before fix: {}", total_rans_prob);
}
let mut error = total_rans_prob as i32 - Self::RANS_PRECISION as i32;
while error > 0 {
let act_total_prob_d = total_rans_prob as f64;
let act_rel_error_d = rans_precision_d / act_total_prob_d;
for j in (1..num_symbols).rev() {
let symbol_id = sorted_probabilities[j];
if self.probability_table[symbol_id].prob <= 1 {
if j == num_symbols - 1 {
return false;
}
break;
}
let new_prob = (act_rel_error_d * self.probability_table[symbol_id].prob as f64)
.floor() as i32;
let mut fix = self.probability_table[symbol_id].prob as i32 - new_prob;
if fix == 0 {
fix = 1;
}
if fix >= self.probability_table[symbol_id].prob as i32 {
fix = self.probability_table[symbol_id].prob as i32 - 1;
}
if fix > error {
fix = error;
}
self.probability_table[symbol_id].prob -= fix as u32;
total_rans_prob -= fix as u32;
error -= fix;
if total_rans_prob == Self::RANS_PRECISION {
break;
}
}
}
}
let mut total_prob = 0;
for i in 0..num_symbols {
self.probability_table[i].cum_prob = total_prob;
total_prob += self.probability_table[i].prob;
}
if debug_cmp {
debug_log!(
"RUST RANS probability_table (probs): {:?}",
self.probability_table
.iter()
.map(|s| s.prob)
.collect::<Vec<_>>()
);
debug_log!(
"RUST RANS probability_table (cums): {:?}",
self.probability_table
.iter()
.map(|s| s.cum_prob)
.collect::<Vec<_>>()
);
}
if total_prob != Self::RANS_PRECISION {
return false;
}
self.encode_table(buffer)
}
fn encode_table(&self, buffer: &mut EncoderBuffer) -> bool {
// C++ v1.x writes num_symbols as u32; v2.0+ uses varint.
let bitstream_version = buffer.bitstream_version();
if bitstream_version < 0x0200 {
buffer.encode_u32(self.num_symbols as u32);
} else {
buffer.encode_varint(self.num_symbols as u64);
}
// A run of zero-probability symbols is written as one byte carrying the
// run length, tagged with token 3. That token used to mean "three extra
// probability bytes" -- a width no probability reaches, which is why it
// could be repurposed -- and the repurposing landed in Draco 0.10.0,
// whose bitstream is 1.2. So a 1.2 stream may carry the run, and a 1.1
// stream may not: 0.9.1 reads token 3 as a byte count and desynchronises
// on the whole table.
//
// The asymmetry is why nothing noticed. An old stream never contains
// token 3, so every later decoder reads one; only the reverse direction
// breaks, and the reverse direction is exactly what writing 1.1 is.
let pre_zero_run_table = bitstream_version != 0 && bitstream_version < 0x0102;
let mut i = 0;
while i < self.num_symbols {
let prob = self.probability_table[i].prob;
let mut num_extra_bytes = 0;
if prob >= (1 << 6) {
num_extra_bytes += 1;
if prob >= (1 << 14) {
num_extra_bytes += 1;
if prob >= (1 << 22) {
return false;
}
}
}
if prob == 0 && !pre_zero_run_table {
let mut offset = 0;
while offset < (1 << 6) - 1 {
if i + offset + 1 >= self.num_symbols {
break;
}
let next_prob = self.probability_table[i + offset + 1].prob;
if next_prob > 0 {
break;
}
offset += 1;
}
buffer.encode_u8(((offset as u8) << 2) | 3);
i += offset;
} else {
buffer.encode_u8(((prob as u8) << 2) | (num_extra_bytes & 3));
for b in 0..num_extra_bytes {
buffer.encode_u8((prob >> (8 * (b + 1) - 2)) as u8);
}
}
i += 1;
}
true
}
pub fn start_encoding(&mut self, _buffer: &mut EncoderBuffer) {
self.ans.write_init(Self::L_RANS_BASE);
}
/// Starts rANS encoding and reserves space for the expected output bytes.
pub(crate) fn start_encoding_with_capacity(
&mut self,
_buffer: &mut EncoderBuffer,
byte_capacity: usize,
) {
self.ans
.write_init_with_capacity(Self::L_RANS_BASE, byte_capacity);
}
pub fn encode_symbol(&mut self, symbol: u32) {
let sym = self.probability_table[symbol as usize];
self.rans_write(sym);
}
pub fn end_encoding(&mut self, buffer: &mut EncoderBuffer) {
let _len = self
.ans
.write_end(true)
.expect("ANS state should always be valid for symbol encoding");
let data = self.ans.data();
let bytes_written = data.len() as u64;
// C++ v1.x writes the byte count as a fixed u64; v2.0+ uses varint.
let bitstream_version = buffer.bitstream_version();
if bitstream_version < 0x0200 {
buffer.encode_u64(bytes_written);
} else {
buffer.encode_varint(bytes_written);
}
buffer.encode_data(data);
}
fn rans_write(&mut self, sym: RAnsSymbol) {
// Hot path: the renormalization loop's divide and modulo are by
// ANS_IO_BASE (256), a constant, so they are a shift and a mask.
let p = sym.prob;
let renorm_bound = (Self::L_RANS_BASE / Self::RANS_PRECISION) * crate::ans::ANS_IO_BASE * p;
let mut state = self.ans.state;
while state >= renorm_bound {
// ANS_IO_BASE is 256.
self.ans.buf.push((state & 0xFF) as u8);
state >>= 8;
}
// `p` is a runtime probability, so this division is a real one -- but
// ask for the remainder directly rather than deriving it as
// `state - quot * p`. Both results come out of the same hardware
// `div`, and spelling the subtraction by hand adds a multiply and a
// subtract to every symbol: measured at 2.1% of encode, two builds per
// condition with disjoint clusters. See TRICKS.md.
let quot = state / p;
let rem = state % p;
state = quot * Self::RANS_PRECISION + rem + sym.cum_prob;
self.ans.state = state;
}
}
#[cfg(test)]
mod tests {
use super::*;
/// A run of zero-probability symbols is written one byte each below 1.2.
///
/// Token 3 in the low two bits means "this byte carries a run length of
/// zero-probability symbols", and it means that only from Draco 0.10.0,
/// whose bitstream is 1.2. Before that it meant "three extra probability
/// bytes" -- a width no probability reaches, which is why it could be taken
/// over. So 0.9.1 reads a run byte as a length prefix and desynchronises on
/// the rest of the table, and a 1.1 stream must not contain one.
///
/// The asymmetry hid this: an old stream never contains token 3, so every
/// later decoder reads one. Only writing the old version breaks, and that
/// direction had no reader in the test suite until draco_decoder 0.9.1 was
/// pointed at it.
fn table_bytes(major: u8, minor: u8) -> Vec<u8> {
// Gaps between the used symbols are what produce zero-probability runs.
let mut frequencies = vec![0u64; 64];
for symbol in [0usize, 17, 40, 63] {
frequencies[symbol] = 64;
}
let mut buffer = EncoderBuffer::new();
buffer.set_version(major, minor);
let mut encoder = RAnsSymbolEncoder::<12>::new();
assert!(
encoder.create(&frequencies, frequencies.len(), &mut buffer),
"v{major}.{minor}: create"
);
buffer.data().to_vec()
}
fn carries_zero_run_token(bytes: &[u8]) -> bool {
// Past the u32 symbol count that pre-2.0 writes.
bytes[4..].iter().any(|byte| byte & 3 == 3)
}
#[test]
fn the_zero_run_token_is_written_only_from_1_2() {
assert!(
!carries_zero_run_token(&table_bytes(1, 1)),
"1.1 must not carry the run token"
);
assert!(
carries_zero_run_token(&table_bytes(1, 2)),
"1.2 is expected to use the run token, or this test proves nothing"
);
}
}