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/// Arithmetic entropy encoder for JPEG (ITU-T T.81).
///
/// Implements the QM-coder binary arithmetic encoder used for
/// SOF9 (sequential arithmetic) JPEG encoding.
use crate::common::arith_tables::*;
/// Which statistics table to read/write.
#[derive(Clone, Copy)]
enum StatRef {
Dc(usize, usize),
Ac(usize, usize),
Fixed(usize),
}
/// Arithmetic entropy encoder state.
pub struct ArithEncoder {
c: u32,
a: u32,
ct: i32,
sc: i32,
/// Counter for pending 0x00 output values which might be discarded
/// at the end ("Pacman" termination per ITU-T T.81 Figure D.15).
zc: i32,
buffer: i32,
output: Vec<u8>,
pub last_dc_val: [i32; 4],
dc_context: [usize; 4],
dc_stats: [[u8; DC_STAT_BINS]; 4],
ac_stats: [[u8; AC_STAT_BINS]; 4],
fixed_bin: [u8; 4],
arith_dc_l: [u8; 4],
arith_dc_u: [u8; 4],
arith_ac_k: [u8; 4],
}
impl ArithEncoder {
pub fn new(capacity: usize) -> Self {
Self {
c: 0,
a: 0x10000,
ct: 11,
sc: 0,
zc: 0,
buffer: -1,
output: Vec::with_capacity(capacity),
last_dc_val: [0; 4],
dc_context: [0; 4],
dc_stats: [[0; DC_STAT_BINS]; 4],
ac_stats: [[0; AC_STAT_BINS]; 4],
fixed_bin: [113, 0, 0, 0],
arith_dc_l: [0; 4],
arith_dc_u: [1; 4],
arith_ac_k: [5; 4],
}
}
/// Raw byte output (matches C emit_byte — no auto-stuffing).
fn emit_byte(&mut self, val: u8) {
self.output.push(val);
}
fn get_stat(&self, r: StatRef) -> u8 {
match r {
StatRef::Dc(tbl, idx) => self.dc_stats[tbl][idx],
StatRef::Ac(tbl, idx) => self.ac_stats[tbl][idx],
StatRef::Fixed(idx) => self.fixed_bin[idx],
}
}
fn set_stat(&mut self, r: StatRef, val: u8) {
match r {
StatRef::Dc(tbl, idx) => self.dc_stats[tbl][idx] = val,
StatRef::Ac(tbl, idx) => self.ac_stats[tbl][idx] = val,
StatRef::Fixed(idx) => self.fixed_bin[idx] = val,
}
}
/// Core binary arithmetic encode using a StatRef.
fn encode(&mut self, r: StatRef, val: u8) {
let sv = self.get_stat(r);
let state_idx = (sv & 0x7F) as usize;
let entry = ARITAB[state_idx];
let qe = qe_value(entry);
let nm = next_mps(entry);
let nl_byte = next_lps_with_switch(entry);
let mps_val = sv >> 7;
self.a -= qe;
if val != mps_val {
// LPS
if self.a >= qe {
self.c += self.a;
self.a = qe;
}
self.set_stat(r, (sv & 0x80) ^ nl_byte);
} else {
// MPS
if self.a >= 0x8000 {
return;
}
if self.a < qe {
self.c += self.a;
self.a = qe;
}
self.set_stat(r, (sv & 0x80) | nm);
}
// Renormalization & data output per section D.1.6
// Matches jcarith.c arith_encode() renormalization exactly.
loop {
self.a <<= 1;
self.c <<= 1;
self.ct -= 1;
if self.ct == 0 {
let temp = self.c >> 19;
if temp > 0xFF {
// Handle overflow over all stacked 0xFF bytes
if self.buffer >= 0 {
while self.zc > 0 {
self.emit_byte(0x00);
self.zc -= 1;
}
let byte = (self.buffer + 1) as u8;
self.emit_byte(byte);
if byte == 0xFF {
self.emit_byte(0x00);
}
}
// Carry-over converts stacked 0xFF bytes to 0x00
self.zc += self.sc;
self.sc = 0;
self.buffer = (temp & 0xFF) as i32;
} else if temp == 0xFF {
self.sc += 1;
} else {
// Output all stacked 0xFF bytes, they will not overflow
if self.buffer == 0 {
self.zc += 1;
} else if self.buffer >= 0 {
while self.zc > 0 {
self.emit_byte(0x00);
self.zc -= 1;
}
self.emit_byte(self.buffer as u8);
}
if self.sc > 0 {
while self.zc > 0 {
self.emit_byte(0x00);
self.zc -= 1;
}
while self.sc > 0 {
self.emit_byte(0xFF);
self.emit_byte(0x00);
self.sc -= 1;
}
}
self.buffer = (temp & 0xFF) as i32;
}
self.c &= 0x7FFFF;
self.ct += 8;
}
if self.a >= 0x8000 {
break;
}
}
}
/// Encode DC coefficient for one block (sequential arithmetic).
///
/// Ported from jcarith.c encode_mcu_DC_first / encode_mcu sections.
/// Context layout in dc_stats\[tbl\]:
/// [0..3] = zero diff context (S0, SS, SP, SN)
/// [4..7] = small positive diff context
/// [8..11] = small negative diff context
/// [12..15] = large positive diff context
/// [16..19] = large negative diff context
/// [20..] = magnitude category encoding (X1=20)
pub fn encode_dc_sequential(&mut self, block: &[i16; 64], comp_idx: usize, dc_tbl: usize) {
let dc_val = block[0] as i32;
let mut v: i32 = dc_val - self.last_dc_val[comp_idx];
// S0 = dc_stats[tbl][dc_context[ci]]
let s0 = self.dc_context[comp_idx];
if v == 0 {
// Zero difference
self.encode(StatRef::Dc(dc_tbl, s0), 0);
self.dc_context[comp_idx] = 0;
return;
}
self.last_dc_val[comp_idx] = dc_val;
self.encode(StatRef::Dc(dc_tbl, s0), 1); // nonzero
// Sign encoding + stat pointer selection (Table F.4)
let st: usize;
if v > 0 {
self.encode(StatRef::Dc(dc_tbl, s0 + 1), 0); // SS: positive
st = s0 + 2; // SP
self.dc_context[comp_idx] = 4; // small positive
} else {
v = -v;
self.encode(StatRef::Dc(dc_tbl, s0 + 1), 1); // SS: negative
st = s0 + 3; // SN
self.dc_context[comp_idx] = 8; // small negative
}
// Magnitude category encoding (Figure F.8)
let mut m: i32 = 0;
v -= 1; // v is now (abs_diff - 1)
let v_orig = v; // save for magnitude bits
if v != 0 {
self.encode(StatRef::Dc(dc_tbl, st), 1);
m = 1;
let mut v2: i32 = v;
let mut x1 = 20usize; // Table F.4: X1 = 20
v2 >>= 1;
while v2 != 0 {
self.encode(StatRef::Dc(dc_tbl, x1), 1);
m <<= 1;
x1 += 1;
v2 >>= 1;
}
// Magnitude terminator at the X1 position
self.encode(StatRef::Dc(dc_tbl, x1), 0);
// Update context based on magnitude vs conditioning thresholds
let l_thresh = (1i32 << self.arith_dc_l[dc_tbl]) >> 1;
let u_thresh = (1i32 << self.arith_dc_u[dc_tbl]) >> 1;
if m < l_thresh {
self.dc_context[comp_idx] = 0;
} else if m > u_thresh {
self.dc_context[comp_idx] += 8; // promote to large category
}
// Magnitude bit pattern (Figure F.9) — uses adaptive stats bin st+14
let mag_st = x1 + 14;
let mut bit_mask = m >> 1;
while bit_mask != 0 {
let bit = if (bit_mask & v_orig) != 0 { 1u8 } else { 0u8 };
self.encode(StatRef::Dc(dc_tbl, mag_st), bit);
bit_mask >>= 1;
}
} else {
// v was 1 (abs_diff == 1), magnitude category 0
self.encode(StatRef::Dc(dc_tbl, st), 0);
// Context update: m=0 < any positive L threshold → set to 0
let l_thresh = (1i32 << self.arith_dc_l[dc_tbl]) >> 1;
if m < l_thresh {
self.dc_context[comp_idx] = 0;
}
}
}
/// Encode AC coefficients for one block (sequential arithmetic).
///
/// Ported from jcarith.c encode_mcu (AC section).
/// Block is expected in zigzag order (as output by quantize_block).
pub fn encode_ac_sequential(&mut self, block: &[i16; 64], ac_tbl: usize) {
// Establish EOB (end-of-block) index
let mut ke: usize = 63;
while ke > 0 {
if block[ke] != 0 {
break;
}
ke -= 1;
}
// Encode AC coefficients (Figure F.5)
let mut k = 1usize;
while k <= ke {
let mut st = 3 * (k - 1);
self.encode(StatRef::Ac(ac_tbl, st), 0); // EOB decision: not EOB
// Zero-run
let mut v: i32 = block[k] as i32;
while v == 0 {
self.encode(StatRef::Ac(ac_tbl, st + 1), 0);
st += 3;
k += 1;
v = block[k] as i32;
}
self.encode(StatRef::Ac(ac_tbl, st + 1), 1); // nonzero
// Sign
if v > 0 {
self.encode(StatRef::Fixed(0), 0);
} else {
v = -v;
self.encode(StatRef::Fixed(0), 1);
}
st += 2;
// Magnitude category encoding (Figure F.8)
let mut m: i32 = 0;
v -= 1;
let v_orig = v;
if v != 0 {
self.encode(StatRef::Ac(ac_tbl, st), 1);
m = 1;
let mut v2 = v >> 1;
if v2 != 0 {
self.encode(StatRef::Ac(ac_tbl, st), 1);
m <<= 1;
let kx = self.arith_ac_k[ac_tbl] as usize;
st = if k <= kx { 189 } else { 217 };
v2 >>= 1;
while v2 != 0 {
self.encode(StatRef::Ac(ac_tbl, st), 1);
m <<= 1;
st += 1;
v2 >>= 1;
}
}
}
self.encode(StatRef::Ac(ac_tbl, st), 0); // magnitude terminator
// Magnitude bit pattern (Figure F.9) — uses adaptive stats bin st+14
let mag_st = st + 14;
let mut bit_mask = m >> 1;
while bit_mask != 0 {
let bit = if (bit_mask & v_orig) != 0 { 1u8 } else { 0u8 };
self.encode(StatRef::Ac(ac_tbl, mag_st), bit);
bit_mask >>= 1;
}
k += 1;
}
// Encode EOB decision if k <= 63
if k <= 63 {
let st = 3 * (k - 1);
self.encode(StatRef::Ac(ac_tbl, st), 1);
}
}
/// Finish encoding: flush remaining bits.
///
/// Implements Section D.1.8 of ITU-T T.81 with "Pacman" termination.
/// Ported from jcarith.c finish_pass().
pub fn finish(&mut self) {
// Find the c in the coding interval with the largest
// number of trailing zero bits
let temp: u32 = (self.a.wrapping_sub(1).wrapping_add(self.c)) & 0xFFFF0000;
self.c = if temp < self.c { temp + 0x8000 } else { temp };
// Send remaining bytes to output — shift by ct bits at once
self.c <<= self.ct;
if self.c & 0xF8000000 != 0 {
// One final overflow has to be handled
if self.buffer >= 0 {
while self.zc > 0 {
self.emit_byte(0x00);
self.zc -= 1;
}
let byte = (self.buffer + 1) as u8;
self.emit_byte(byte);
if byte == 0xFF {
self.emit_byte(0x00);
}
}
// Carry-over converts stacked 0xFF bytes to 0x00
self.zc += self.sc;
self.sc = 0;
} else {
if self.buffer == 0 {
self.zc += 1;
} else if self.buffer >= 0 {
while self.zc > 0 {
self.emit_byte(0x00);
self.zc -= 1;
}
self.emit_byte(self.buffer as u8);
}
if self.sc > 0 {
while self.zc > 0 {
self.emit_byte(0x00);
self.zc -= 1;
}
while self.sc > 0 {
self.emit_byte(0xFF);
self.emit_byte(0x00);
self.sc -= 1;
}
}
}
// Output final bytes only if they are not 0x00
if self.c & 0x7FFF800 != 0 {
while self.zc > 0 {
self.emit_byte(0x00);
self.zc -= 1;
}
let byte1 = ((self.c >> 19) & 0xFF) as u8;
self.emit_byte(byte1);
if byte1 == 0xFF {
self.emit_byte(0x00);
}
if self.c & 0x7F800 != 0 {
let byte2 = ((self.c >> 11) & 0xFF) as u8;
self.emit_byte(byte2);
if byte2 == 0xFF {
self.emit_byte(0x00);
}
}
}
}
/// Reset encoder state for a new scan, keeping output buffer.
///
/// Clears arithmetic coding state, DC prediction, and statistics
/// so the encoder is ready for a fresh progressive scan.
pub fn reset(&mut self) {
self.c = 0;
self.a = 0x10000;
self.ct = 11;
self.sc = 0;
self.zc = 0;
self.buffer = -1;
self.output.clear();
self.last_dc_val = [0; 4];
self.dc_context = [0; 4];
self.dc_stats = [[0; DC_STAT_BINS]; 4];
self.ac_stats = [[0; AC_STAT_BINS]; 4];
self.fixed_bin = [113, 0, 0, 0];
}
/// Encode DC coefficient for first progressive scan (DC first, Ah=0).
///
/// Like encode_dc_sequential but applies point transform shift by `al`.
/// Ported from jcarith.c encode_mcu_DC_first.
pub fn encode_dc_first(&mut self, block: &[i16; 64], comp_idx: usize, dc_tbl: usize, al: u8) {
// Apply point transform (arithmetic right shift by Al)
let m_val: i32 = (block[0] as i32) >> al;
let s0: usize = self.dc_context[comp_idx];
if m_val - self.last_dc_val[comp_idx] == 0 {
self.encode(StatRef::Dc(dc_tbl, s0), 0);
self.dc_context[comp_idx] = 0;
return;
}
let mut v: i32 = m_val - self.last_dc_val[comp_idx];
self.last_dc_val[comp_idx] = m_val;
self.encode(StatRef::Dc(dc_tbl, s0), 1);
// Sign encoding + stat pointer selection (Table F.4)
let st: usize;
if v > 0 {
self.encode(StatRef::Dc(dc_tbl, s0 + 1), 0); // positive
st = s0 + 2;
self.dc_context[comp_idx] = 4;
} else {
v = -v;
self.encode(StatRef::Dc(dc_tbl, s0 + 1), 1); // negative
st = s0 + 3;
self.dc_context[comp_idx] = 8;
}
// Magnitude category encoding (Figure F.8)
let mut m: i32 = 0;
v -= 1;
let v_orig: i32 = v;
if v != 0 {
self.encode(StatRef::Dc(dc_tbl, st), 1);
m = 1;
let mut v2: i32 = v;
let mut x1: usize = 20;
v2 >>= 1;
while v2 != 0 {
self.encode(StatRef::Dc(dc_tbl, x1), 1);
m <<= 1;
x1 += 1;
v2 >>= 1;
}
self.encode(StatRef::Dc(dc_tbl, x1), 0);
// Context conditioning (Section F.1.4.4.1.2)
let l_thresh: i32 = (1i32 << self.arith_dc_l[dc_tbl]) >> 1;
let u_thresh: i32 = (1i32 << self.arith_dc_u[dc_tbl]) >> 1;
if m < l_thresh {
self.dc_context[comp_idx] = 0;
} else if m > u_thresh {
self.dc_context[comp_idx] += 8;
}
// Magnitude bit pattern (Figure F.9) — uses adaptive stats bin st+14
let mag_st: usize = x1 + 14;
let mut bit_mask: i32 = m >> 1;
while bit_mask != 0 {
let bit: u8 = if (bit_mask & v_orig) != 0 { 1 } else { 0 };
self.encode(StatRef::Dc(dc_tbl, mag_st), bit);
bit_mask >>= 1;
}
} else {
self.encode(StatRef::Dc(dc_tbl, st), 0);
let l_thresh: i32 = (1i32 << self.arith_dc_l[dc_tbl]) >> 1;
if m < l_thresh {
self.dc_context[comp_idx] = 0;
}
}
}
/// Encode DC coefficient for successive approximation refinement scan (Ah!=0).
///
/// Simply emits the Al'th bit of the DC coefficient using fixed probability.
/// Ported from jcarith.c encode_mcu_DC_refine.
pub fn encode_dc_refine(&mut self, block: &[i16; 64], al: u8) {
let bit: u8 = ((block[0] >> al) & 1) as u8;
self.encode(StatRef::Fixed(0), bit);
}
/// Encode AC coefficients for first progressive scan (AC first, Ah=0).
///
/// Encodes AC coefficients in spectral range [ss, se] with point transform
/// shift by `al`. Ported from jcarith.c encode_mcu_AC_first.
pub fn encode_ac_first(&mut self, block: &[i16; 64], ac_tbl: usize, ss: u8, se: u8, al: u8) {
let ss_idx: usize = ss as usize;
let se_idx: usize = se as usize;
// Establish EOB index: find highest nonzero coefficient after shift
let mut ke: usize = se_idx;
while ke >= ss_idx {
let v_raw: i16 = block[ke];
let v_abs: i32 = if v_raw >= 0 {
v_raw as i32
} else {
-(v_raw as i32)
};
if (v_abs >> al) != 0 {
break;
}
if ke == ss_idx {
// All coefficients are zero after shift — encode EOB and return
let st: usize = 3 * (ss_idx - 1);
self.encode(StatRef::Ac(ac_tbl, st), 1);
return;
}
ke -= 1;
}
// Encode AC coefficients (Figure F.5)
let mut k: usize = ss_idx;
while k <= ke {
let mut st: usize = 3 * (k - 1);
self.encode(StatRef::Ac(ac_tbl, st), 0); // EOB decision: not EOB
// Zero-run with point transform
loop {
let v_raw: i16 = block[k];
let mut v: i32;
if v_raw >= 0 {
v = (v_raw as i32) >> al;
if v != 0 {
self.encode(StatRef::Ac(ac_tbl, st + 1), 1);
self.encode(StatRef::Fixed(0), 0); // positive sign
break;
}
} else {
v = -(v_raw as i32);
v >>= al;
if v != 0 {
self.encode(StatRef::Ac(ac_tbl, st + 1), 1);
self.encode(StatRef::Fixed(0), 1); // negative sign
break;
}
}
self.encode(StatRef::Ac(ac_tbl, st + 1), 0);
st += 3;
k += 1;
}
// v is the absolute value of the shifted coefficient
let v_raw: i16 = block[k];
let mut v: i32 = if v_raw >= 0 {
(v_raw as i32) >> al
} else {
(-(v_raw as i32)) >> al
};
st += 2;
// Magnitude category encoding (Figure F.8)
let mut m: i32 = 0;
v -= 1;
let v_orig: i32 = v;
if v != 0 {
self.encode(StatRef::Ac(ac_tbl, st), 1);
m = 1;
let mut v2: i32 = v >> 1;
if v2 != 0 {
self.encode(StatRef::Ac(ac_tbl, st), 1);
m <<= 1;
let kx: usize = self.arith_ac_k[ac_tbl] as usize;
let mut st2: usize = if k <= kx { 189 } else { 217 };
v2 >>= 1;
while v2 != 0 {
self.encode(StatRef::Ac(ac_tbl, st2), 1);
m <<= 1;
st2 += 1;
v2 >>= 1;
}
st = st2;
}
}
self.encode(StatRef::Ac(ac_tbl, st), 0); // magnitude terminator
// Magnitude bit pattern (Figure F.9) — uses adaptive stats bin st+14
let mag_st: usize = st + 14;
let mut bit_mask: i32 = m >> 1;
while bit_mask != 0 {
let bit: u8 = if (bit_mask & v_orig) != 0 { 1 } else { 0 };
self.encode(StatRef::Ac(ac_tbl, mag_st), bit);
bit_mask >>= 1;
}
k += 1;
}
// Encode EOB if k <= se
if k <= se_idx {
let st: usize = 3 * (k - 1);
self.encode(StatRef::Ac(ac_tbl, st), 1);
}
}
/// Encode AC coefficients for successive approximation refinement scan (Ah!=0).
///
/// Interleaves correction bits for previously-nonzero coefficients with
/// newly-significant coefficients. Ported from jcarith.c encode_mcu_AC_refine.
pub fn encode_ac_refine(
&mut self,
block: &[i16; 64],
ac_tbl: usize,
ss: u8,
se: u8,
al: u8,
ah: u8,
) {
let ss_idx: usize = ss as usize;
let se_idx: usize = se as usize;
// Establish EOB (end-of-block) index for current approximation
let mut ke: usize = ss_idx;
let mut found_ke: bool = false;
for i in (ss_idx..=se_idx).rev() {
let v_raw: i16 = block[i];
let v_abs: i32 = if v_raw >= 0 {
v_raw as i32
} else {
-(v_raw as i32)
};
if (v_abs >> al) != 0 {
ke = i;
found_ke = true;
break;
}
}
if !found_ke {
// All zero after current shift — encode EOB
if ss_idx > 0 {
let st: usize = 3 * (ss_idx - 1);
self.encode(StatRef::Ac(ac_tbl, st), 1);
}
return;
}
// Establish EOBx (previous stage end-of-block) index
let mut kex: usize = 0;
for i in (ss_idx..=ke).rev() {
let v_raw: i16 = block[i];
let v_abs: i32 = if v_raw >= 0 {
v_raw as i32
} else {
-(v_raw as i32)
};
if (v_abs >> ah) != 0 {
kex = i;
break;
}
}
// Figure G.10: Encode_AC_Coefficients_SA
let mut k: usize = ss_idx;
while k <= ke {
let st: usize = 3 * (k - 1);
if k > kex {
self.encode(StatRef::Ac(ac_tbl, st), 0); // EOB decision
}
loop {
let v_raw: i16 = block[k];
if v_raw >= 0 {
let v_shifted: i32 = (v_raw as i32) >> al;
if v_shifted != 0 {
if v_shifted >> 1 != 0 {
// Previously nonzero: emit correction bit
let st2: usize = 3 * (k - 1) + 2;
self.encode(StatRef::Ac(ac_tbl, st2), (v_shifted & 1) as u8);
} else {
// Newly nonzero
let st2: usize = 3 * (k - 1) + 1;
self.encode(StatRef::Ac(ac_tbl, st2), 1);
self.encode(StatRef::Fixed(0), 0); // positive sign
}
break;
}
} else {
let v_abs: i32 = (-(v_raw as i32)) >> al;
if v_abs != 0 {
if v_abs >> 1 != 0 {
// Previously nonzero: emit correction bit
let st2: usize = 3 * (k - 1) + 2;
self.encode(StatRef::Ac(ac_tbl, st2), (v_abs & 1) as u8);
} else {
// Newly nonzero
let st2: usize = 3 * (k - 1) + 1;
self.encode(StatRef::Ac(ac_tbl, st2), 1);
self.encode(StatRef::Fixed(0), 1); // negative sign
}
break;
}
}
// Zero coefficient — encode zero run
let st2: usize = 3 * (k - 1) + 1;
self.encode(StatRef::Ac(ac_tbl, st2), 0);
k += 1;
}
k += 1;
}
// Encode EOB if k <= se
if k <= se_idx {
let st: usize = 3 * (k - 1);
self.encode(StatRef::Ac(ac_tbl, st), 1);
}
}
pub fn data(&self) -> &[u8] {
&self.output
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn encoder_initializes_correctly() {
let enc = ArithEncoder::new(256);
assert_eq!(enc.a, 0x10000);
assert_eq!(enc.ct, 11);
assert_eq!(enc.buffer, -1);
}
#[test]
fn encode_enough_bits_produces_output() {
let mut enc = ArithEncoder::new(256);
// Encode enough bits to force output
for _ in 0..20 {
enc.encode(StatRef::Fixed(0), 0);
enc.encode(StatRef::Fixed(0), 1);
}
enc.finish();
assert!(!enc.data().is_empty());
}
#[test]
fn encode_multiple_mps() {
let mut enc = ArithEncoder::new(256);
for _ in 0..100 {
enc.encode(StatRef::Fixed(0), 0);
}
enc.finish();
assert!(enc.data().len() < 20);
}
}