pub const ZIGZAG_TO_NATURAL: [usize; 64] = [
0, 1, 8, 16, 9, 2, 3, 10,
17, 24, 32, 25, 18, 11, 4, 5,
12, 19, 26, 33, 40, 48, 41, 34,
27, 20, 13, 6, 7, 14, 21, 28,
35, 42, 49, 56, 57, 50, 43, 36,
29, 22, 15, 23, 30, 37, 44, 51,
58, 59, 52, 45, 38, 31, 39, 46,
53, 60, 61, 54, 47, 55, 62, 63,
];
pub const NATURAL_TO_ZIGZAG: [usize; 64] = {
let mut table = [0usize; 64];
let mut i = 0;
while i < 64 {
table[ZIGZAG_TO_NATURAL[i]] = i;
i += 1;
}
table
};
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn round_trip() {
for i in 0..64 {
assert_eq!(NATURAL_TO_ZIGZAG[ZIGZAG_TO_NATURAL[i]], i);
assert_eq!(ZIGZAG_TO_NATURAL[NATURAL_TO_ZIGZAG[i]], i);
}
}
#[test]
fn known_positions() {
assert_eq!(ZIGZAG_TO_NATURAL[0], 0);
assert_eq!(ZIGZAG_TO_NATURAL[1], 1);
assert_eq!(ZIGZAG_TO_NATURAL[2], 8);
assert_eq!(ZIGZAG_TO_NATURAL[63], 63);
}
#[test]
fn all_indices_covered() {
let mut seen = [false; 64];
for &idx in &ZIGZAG_TO_NATURAL {
assert!(!seen[idx], "duplicate natural index {idx}");
seen[idx] = true;
}
assert!(seen.iter().all(|&s| s));
}
}