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//! Base62 integer encoding: [`int_to_base62`] / [`base62_to_int`].
//!
//! The alphabet is `[0-9A-Za-z]` and encoding is case-sensitive.
//! Use it for short public IDs, such as URL-shortener slugs. It
//! packs about 17% more per character than base36.
//!
//! ```ignore
//! use rustango::base62::{int_to_base62, base62_to_int};
//!
//! assert_eq!(int_to_base62(0), "0");
//! assert_eq!(int_to_base62(61), "z");
//! assert_eq!(int_to_base62(62), "10");
//! assert_eq!(int_to_base62(125), "21");
//!
//! // Round-trip.
//! for n in [0u64, 1, 61, 62, 1000, 1_000_000_000_000, u64::MAX] {
//! assert_eq!(base62_to_int(&int_to_base62(n)).unwrap(), n);
//! }
//!
//! // Strict case-sensitive — "Z" (35) ≠ "z" (61).
//! assert_eq!(base62_to_int("Z").unwrap(), 35);
//! assert_eq!(base62_to_int("z").unwrap(), 61);
//! ```
//!
//! [`int_to_base62`]: crate::base62::int_to_base62
//! [`base62_to_int`]: crate::base62::base62_to_int
/// Base62 digits, `[0-9A-Za-z]`: `'0'` is 0, `'Z'` is 35, `'a'` is
/// 36, `'z'` is 61.
const ALPHABET: &[u8; 62] = b"0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
/// Errors from [`base62_to_int`].
#[derive(Debug, thiserror::Error, PartialEq, Eq)]
pub enum Base62Error {
/// Empty string.
#[error("base62_to_int: empty input")]
Empty,
/// Character outside `[0-9A-Za-z]`.
#[error("base62_to_int: invalid character `{0}` (allowed: 0-9, A-Z, a-z)")]
InvalidChar(char),
/// The value does not fit in `u64`.
#[error("base62_to_int: value overflows u64")]
Overflow,
}
/// Encode a non-negative integer as a base62 string. Unlike base36,
/// the output is case-sensitive.
///
/// ```ignore
/// use rustango::base62::int_to_base62;
/// assert_eq!(int_to_base62(0), "0");
/// assert_eq!(int_to_base62(10), "A");
/// assert_eq!(int_to_base62(35), "Z");
/// assert_eq!(int_to_base62(36), "a");
/// assert_eq!(int_to_base62(61), "z");
/// assert_eq!(int_to_base62(62), "10");
/// ```
#[must_use]
pub fn int_to_base62(mut n: u64) -> String {
if n == 0 {
return "0".to_owned();
}
// u64::MAX needs 11 base62 digits.
let mut buf: Vec<u8> = Vec::with_capacity(11);
while n > 0 {
buf.push(ALPHABET[(n % 62) as usize]);
n /= 62;
}
buf.reverse();
// SAFETY: ALPHABET is ASCII-only.
String::from_utf8(buf).expect("base62 alphabet is ASCII")
}
/// Decode a base62 string into a `u64`. Only `[0-9A-Za-z]` is
/// allowed. Whitespace, a leading `-` and non-ASCII are rejected.
///
/// # Errors
/// * [`Base62Error::Empty`] — empty string.
/// * [`Base62Error::InvalidChar`] — character outside `[0-9A-Za-z]`.
/// * [`Base62Error::Overflow`] — value exceeds `u64::MAX`.
pub fn base62_to_int(s: &str) -> Result<u64, Base62Error> {
if s.is_empty() {
return Err(Base62Error::Empty);
}
let mut out: u64 = 0;
for c in s.chars() {
let digit = match c {
'0'..='9' => (c as u32) - ('0' as u32),
'A'..='Z' => (c as u32) - ('A' as u32) + 10,
'a'..='z' => (c as u32) - ('a' as u32) + 36,
_ => return Err(Base62Error::InvalidChar(c)),
};
out = out
.checked_mul(62)
.and_then(|n| n.checked_add(u64::from(digit)))
.ok_or(Base62Error::Overflow)?;
}
Ok(out)
}
#[cfg(test)]
mod tests {
use super::*;
// -------- int_to_base62 --------
#[test]
fn encode_zero() {
assert_eq!(int_to_base62(0), "0");
}
#[test]
fn encode_digit_letter_boundaries() {
assert_eq!(int_to_base62(9), "9");
assert_eq!(int_to_base62(10), "A"); // digit→uppercase
assert_eq!(int_to_base62(35), "Z");
assert_eq!(int_to_base62(36), "a"); // uppercase→lowercase
assert_eq!(int_to_base62(61), "z");
}
#[test]
fn encode_two_digit_boundary() {
assert_eq!(int_to_base62(62), "10");
assert_eq!(int_to_base62(123), "1z"); // 62 + 61
assert_eq!(int_to_base62(124), "20");
}
#[test]
fn encode_three_digit_boundary() {
// 62^2 = 3844
assert_eq!(int_to_base62(3844), "100");
// 62^2 - 1 = 3843 = zz
assert_eq!(int_to_base62(3843), "zz");
}
#[test]
fn encode_u64_max_doesnt_panic() {
let s = int_to_base62(u64::MAX);
assert_eq!(s.len(), 11);
assert!(s.chars().all(|c| c.is_ascii_alphanumeric()));
}
#[test]
fn encode_youtube_video_id_shape() {
// Output stays inside the URL-safe alphabet.
let s = int_to_base62(123_456_789);
assert!(s.chars().all(|c| c.is_ascii_alphanumeric()));
assert!(!s.is_empty());
}
// -------- base62_to_int --------
#[test]
fn decode_canonical() {
assert_eq!(base62_to_int("0").unwrap(), 0);
assert_eq!(base62_to_int("9").unwrap(), 9);
assert_eq!(base62_to_int("A").unwrap(), 10);
assert_eq!(base62_to_int("Z").unwrap(), 35);
assert_eq!(base62_to_int("a").unwrap(), 36);
assert_eq!(base62_to_int("z").unwrap(), 61);
assert_eq!(base62_to_int("10").unwrap(), 62);
}
#[test]
fn decode_case_sensitive() {
// `Z` is 35 and `z` is 61; base36 would fold them.
assert_ne!(base62_to_int("Z").unwrap(), base62_to_int("z").unwrap());
assert_eq!(base62_to_int("Z").unwrap(), 35);
assert_eq!(base62_to_int("z").unwrap(), 61);
}
#[test]
fn decode_empty_errors() {
assert_eq!(base62_to_int(""), Err(Base62Error::Empty));
}
#[test]
fn decode_rejects_non_alphanumeric() {
let err = base62_to_int("hello world").unwrap_err();
assert!(matches!(err, Base62Error::InvalidChar(' ')));
}
#[test]
fn decode_rejects_leading_dash() {
let err = base62_to_int("-1").unwrap_err();
assert!(matches!(err, Base62Error::InvalidChar('-')));
}
#[test]
fn decode_rejects_non_ascii() {
let err = base62_to_int("ω").unwrap_err();
assert!(matches!(err, Base62Error::InvalidChar('ω')));
}
#[test]
fn decode_overflow_surfaces_as_error() {
// 12 'z's = 62^12 - 1 ≫ u64::MAX
let err = base62_to_int("zzzzzzzzzzzz").unwrap_err();
assert_eq!(err, Base62Error::Overflow);
}
// -------- round-trip --------
#[test]
fn round_trip_canonical_values() {
for n in [
0u64,
1,
9,
10,
35,
36,
61,
62,
123,
3843,
3844,
1_000_000,
1_000_000_000_000,
u64::MAX - 1,
u64::MAX,
] {
assert_eq!(base62_to_int(&int_to_base62(n)).unwrap(), n, "n = {n}");
}
}
#[test]
fn base62_shorter_than_base36_for_same_value() {
// Small values tie; larger ones favour base62.
let v: u64 = 1_000_000_000_000;
let in_62 = int_to_base62(v);
let in_36 = crate::base36::int_to_base36(v);
assert!(
in_62.len() <= in_36.len(),
"base62 (`{in_62}`) should be at most as long as base36 (`{in_36}`)"
);
}
}