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//! §7.3.2.1.1.1 — scaling_list parsing.
//!
//! The `scaling_list(scalingList, sizeOfScalingList, useDefaultScalingMatrixFlag)`
//! syntax structure from §7.3.2.1.1.1 derives entries of a 4×4 (size 16) or
//! 8×8 (size 64) scaling matrix from a series of signed-Exp-Golomb
//! `delta_scale` values, and may signal that the caller should substitute
//! the default matrix from Tables 7-3 / 7-4 instead (semantics in
//! §7.4.2.1.1.1).
//!
//! The algorithm from the spec:
//!
//! ```text
//! lastScale = 8
//! nextScale = 8
//! for( j = 0; j < sizeOfScalingList; j++ ) {
//! if( nextScale != 0 ) {
//! delta_scale // se(v)
//! nextScale = ( lastScale + delta_scale + 256 ) % 256
//! useDefaultScalingMatrixFlag = ( j == 0 && nextScale == 0 )
//! }
//! scalingList[ j ] = ( nextScale == 0 ) ? lastScale : nextScale
//! lastScale = scalingList[ j ]
//! }
//! ```
use crate::bitstream::{BitError, BitReader};
#[derive(Debug, thiserror::Error, PartialEq, Eq)]
pub enum ScalingListError {
#[error("bitstream read failed: {0}")]
Bitstream(#[from] BitError),
#[error("scaling_list size must be 16 or 64 (got {0})")]
InvalidSize(u32),
/// §7.4.2.1.1.1: "The value of `delta_scale` shall be in the range
/// of −128 to +127, inclusive."
#[error("delta_scale out of range (got {0}, must be in -128..=127)")]
DeltaScaleOutOfRange(i32),
}
/// Result of parsing a single `scaling_list()` syntax structure
/// (§7.3.2.1.1.1). When `use_default` is `true` the caller should
/// substitute the default scaling matrix for this list per §7.4.2.1.1.1
/// (Tables 7-3 / 7-4) — the raw `scaling_list` field then holds the
/// values as derived by the pseudo-code, but they should be discarded.
#[derive(Debug, Clone, PartialEq, Eq)]
pub struct ScalingListResult {
/// One value per scaling-list entry (length = sizeOfScalingList).
pub scaling_list: Vec<i32>,
/// `useDefaultScalingMatrixFlag` — when true, caller substitutes the
/// default scaling matrix per Tables 7-3 / 7-4.
pub use_default: bool,
}
/// §7.3.2.1.1.1 — parse one `scaling_list()` structure.
///
/// `size_of_scaling_list` must be 16 (4×4 list) or 64 (8×8 list); any
/// other size is rejected as malformed, per the constraints in
/// §7.4.2.1.1.1.
pub fn parse_scaling_list(
r: &mut BitReader<'_>,
size_of_scaling_list: u32,
) -> Result<ScalingListResult, ScalingListError> {
if size_of_scaling_list != 16 && size_of_scaling_list != 64 {
return Err(ScalingListError::InvalidSize(size_of_scaling_list));
}
// §7.3.2.1.1.1 — direct transcription of the spec pseudo-code.
let n = size_of_scaling_list as usize;
let mut scaling_list: Vec<i32> = Vec::with_capacity(n);
let mut use_default = false;
let mut last_scale: i32 = 8;
let mut next_scale: i32 = 8;
for j in 0..n {
if next_scale != 0 {
// §7.4.2.1.1.1: "The value of delta_scale shall be in the
// range of −128 to +127, inclusive." Enforce the range
// explicitly — out-of-range values from a malformed stream
// would overflow the `last_scale + delta_scale + 256`
// arithmetic below (both operands are i32 and an attacker-
// controlled `delta_scale` could be near i32::MAX after
// se(v) decode of an oversized codeNum).
let delta_scale = r.se()?;
if !(-128..=127).contains(&delta_scale) {
return Err(ScalingListError::DeltaScaleOutOfRange(delta_scale));
}
next_scale = (last_scale + delta_scale + 256).rem_euclid(256);
if j == 0 && next_scale == 0 {
use_default = true;
}
}
let entry = if next_scale == 0 {
last_scale
} else {
next_scale
};
scaling_list.push(entry);
last_scale = entry;
}
Ok(ScalingListResult {
scaling_list,
use_default,
})
}
#[cfg(test)]
mod tests {
use super::*;
/// Pack a list of `(value, bit_width)` pairs into an MSB-first
/// byte buffer. Used to assemble crafted bitstreams for tests.
fn pack_bits(bits: &[(u32, u32)]) -> Vec<u8> {
let mut out: Vec<u8> = Vec::new();
let mut acc: u64 = 0;
let mut nbits: u32 = 0;
for &(val, w) in bits {
assert!(w <= 32);
// mask val to w bits
let masked = if w == 32 {
val
} else {
val & ((1u32 << w) - 1)
};
acc = (acc << w) | masked as u64;
nbits += w;
while nbits >= 8 {
nbits -= 8;
let byte = ((acc >> nbits) & 0xFF) as u8;
out.push(byte);
}
}
if nbits > 0 {
// left-align the remaining bits into the final byte (MSB-first).
let byte = ((acc << (8 - nbits)) & 0xFF) as u8;
out.push(byte);
}
out
}
/// Encode signed Exp-Golomb (se(v), §9.1.1) as (value, bit-width).
fn se_bits(value: i32) -> (u32, u32) {
// Mapping §9.1.1: codeNum k → value = (-1)^(k+1) * ceil(k/2).
// k=0 → 0; k=1 → 1; k=2 → -1; k=3 → 2; k=4 → -2; ...
let k = if value <= 0 {
(-(value as i64) as u32) * 2
} else {
value as u32 * 2 - 1
};
// ue(v) codeword for k: floor(log2(k+1)) leading zeros, then
// (k+1) in binary.
let m = k + 1;
let leading = 31 - m.leading_zeros();
let total = 2 * leading + 1;
(m, total)
}
#[test]
fn size_must_be_16_or_64() {
let mut r = BitReader::new(&[0xFF]);
assert_eq!(
parse_scaling_list(&mut r, 8).unwrap_err(),
ScalingListError::InvalidSize(8)
);
let mut r = BitReader::new(&[0xFF]);
assert_eq!(
parse_scaling_list(&mut r, 0).unwrap_err(),
ScalingListError::InvalidSize(0)
);
}
#[test]
fn all_zero_deltas_yield_all_eights() {
// 16 × delta_scale = 0 → nextScale stays 8, scalingList[j] = 8.
// However after the first iteration nextScale stays non-zero and we
// keep reading delta_scale for every j. Each se(0) = ue codeword "1".
let bits: Vec<(u32, u32)> = (0..16).map(|_| se_bits(0)).collect();
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
let res = parse_scaling_list(&mut r, 16).unwrap();
assert_eq!(res.scaling_list, vec![8; 16]);
assert!(!res.use_default);
}
#[test]
fn use_default_when_first_next_scale_is_zero() {
// delta_scale = -8 at j=0 → nextScale = (8 + (-8) + 256) % 256 = 0
// → useDefaultScalingMatrixFlag = true. Subsequent iterations
// skip the delta_scale read (nextScale == 0) and all entries
// become lastScale = 8.
let bits: Vec<(u32, u32)> = vec![se_bits(-8)];
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
let res = parse_scaling_list(&mut r, 16).unwrap();
assert!(res.use_default);
assert_eq!(res.scaling_list, vec![8; 16]);
}
#[test]
fn non_zero_delta_at_j0_does_not_set_use_default() {
// delta_scale = 2 at j=0 → nextScale = 10. use_default stays false.
// Then 15 × delta = 0 keeps nextScale = 10 through every step.
let mut bits: Vec<(u32, u32)> = vec![se_bits(2)];
for _ in 0..15 {
bits.push(se_bits(0));
}
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
let res = parse_scaling_list(&mut r, 16).unwrap();
assert!(!res.use_default);
assert_eq!(res.scaling_list, vec![10; 16]);
}
#[test]
fn mixed_deltas_4x4() {
// Walk through: last=8,next=8
// j=0 delta=+2 → next=10, entry=10, last=10
// j=1 delta=-2 → next=8, entry=8, last=8
// j=2 delta=0 → next=8, entry=8, last=8
// j=3 delta=+4 → next=12, entry=12, last=12
// j=4..15 delta=0 → next stays 12, entry=12
let mut bits: Vec<(u32, u32)> = vec![se_bits(2), se_bits(-2), se_bits(0), se_bits(4)];
for _ in 4..16 {
bits.push(se_bits(0));
}
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
let res = parse_scaling_list(&mut r, 16).unwrap();
assert!(!res.use_default);
let expected = {
let mut v = vec![10, 8, 8, 12];
v.extend(std::iter::repeat(12).take(12));
v
};
assert_eq!(res.scaling_list, expected);
}
#[test]
fn eight_by_eight_list_size_64() {
// 64 × delta=0 → all 8s.
let bits: Vec<(u32, u32)> = (0..64).map(|_| se_bits(0)).collect();
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
let res = parse_scaling_list(&mut r, 64).unwrap();
assert_eq!(res.scaling_list.len(), 64);
assert_eq!(res.scaling_list, vec![8; 64]);
assert!(!res.use_default);
}
#[test]
fn once_next_scale_hits_zero_midway_rest_copy_last() {
// last=8,next=8.
// j=0 delta=+2 → next=10, entry=10, last=10
// j=1 delta=-10 → next=(10-10+256)%256=0. j!=0 so use_default stays false.
// entry = lastScale = 10 (since next==0), last=10
// j=2..15: nextScale is 0 → skip delta_scale read. entry = last = 10.
let bits: Vec<(u32, u32)> = vec![se_bits(2), se_bits(-10)];
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
let res = parse_scaling_list(&mut r, 16).unwrap();
assert!(!res.use_default);
assert_eq!(res.scaling_list, vec![10; 16]);
}
#[test]
fn modulo_256_wrap_behaves_like_spec() {
// delta_scale = 250 at j=0: next = (8 + 250 + 256) % 256 = 2
// (spec uses unsigned modular arithmetic; we model with rem_euclid
// on i32 since delta_scale is signed in syntax).
//
// However se(v) can't directly encode 250 — the spec restricts
// delta_scale to −128..127; but internally we still compute via
// modulo. Use delta_scale = -6 instead: next = (8-6+256)%256 = 2.
let mut bits: Vec<(u32, u32)> = Vec::new();
bits.push(se_bits(-6));
for _ in 0..15 {
bits.push(se_bits(0));
}
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
let res = parse_scaling_list(&mut r, 16).unwrap();
assert!(!res.use_default);
assert_eq!(res.scaling_list[0], 2);
assert_eq!(res.scaling_list[15], 2);
}
#[test]
fn delta_scale_out_of_range_rejected() {
// §7.4.2.1.1.1 restricts delta_scale to [-128, 127]. A malformed
// stream that encodes +200 (or any value outside that band) used
// to feed unbounded values into `last_scale + delta_scale + 256`,
// which panicked with `attempt to add with overflow` for very
// large positive `delta_scale` values produced from oversized
// se(v) codewords. Now we reject early.
let bits: Vec<(u32, u32)> = vec![se_bits(200)];
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
assert_eq!(
parse_scaling_list(&mut r, 16).unwrap_err(),
ScalingListError::DeltaScaleOutOfRange(200)
);
let bits: Vec<(u32, u32)> = vec![se_bits(-129)];
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
assert_eq!(
parse_scaling_list(&mut r, 16).unwrap_err(),
ScalingListError::DeltaScaleOutOfRange(-129)
);
// The 127 / -128 endpoints are accepted.
let mut bits: Vec<(u32, u32)> = vec![se_bits(127)];
for _ in 0..15 {
bits.push(se_bits(0));
}
let bytes = pack_bits(&bits);
let mut r = BitReader::new(&bytes);
assert!(parse_scaling_list(&mut r, 16).is_ok());
}
#[test]
fn pack_bits_helper_roundtrip() {
// Sanity check the test helper.
// Pack "1 010 011" = ue codewords 0, 1, 2 into one byte 0b1010_0110.
let bytes = pack_bits(&[(0b1, 1), (0b010, 3), (0b011, 3)]);
assert_eq!(bytes, vec![0b1010_0110 >> 1 << 1]);
// Actually the above left-aligns remaining 0 bits into final byte;
// with nbits=7 we get one byte with low bit zero.
// Let's verify with a cleaner case: 8-bit aligned.
let bytes = pack_bits(&[(0b1010_0110, 8)]);
assert_eq!(bytes, vec![0b1010_0110]);
}
}