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tai64: time is wrong in different ways #2012

@wxifze

Description

@wxifze

TLDR: Second assertion in the following code fails.

fn main() {
    let now_tai = tai64::Tai64::now();
    let now_std = std::time::SystemTime::now();

    // making sure the second didn't change between measurements
    assert_eq!(now_tai, tai64::Tai64::now());

    let now_tai_unix: u64 = now_tai
        .to_unix()
        .try_into()
        .expect("21st century");
    let now_std_unix: u64 = now_std
        .duration_since(std::time::SystemTime::UNIX_EPOCH)
        .expect("21st century")
        .as_secs();

    assert_eq!(now_tai_unix, now_std_unix);
}
thread 'main' panicked at src/main.rs:17:5:
assertion `left == right` failed
  left: 1756146344
 right: 1756146317
note: run with `RUST_BACKTRACE=1` environment variable to display a backtrace

Time standards are anything but trivial. TAI, UTC, and Unix time are three different time standards. In particular, they differ in how they handle leap seconds. The crate tai64 attempts to solve the conversion between TAI64 and Unix timestamps, which are (semi)standardized binary representations of a moment in time in TAI and Unix time respectively. Since Unix time is defined from UTC, which in turn defined from TAI, we should discuss relationship between the latter two.

By definition, 1 January 1972 00:00:00 UTC is 1 January 1972 00:00:10 TAI exactly1. Yet, at the moment of writing, The current difference between UTC and TAI is 37 seconds. (TAI is ahead of UTC by this amount)2. Change in difference over time comes from leap seconds, which have been inserted in 27 times since 1972.

This means that the difference between representations of a moment in time in TAI and UTC is not only a function of the current moment in time but also of the moment in question.

The problem with the current implementation isn't limited to the offset being constant: it is inconsistent. In UNIX_EPOCH it is 37, but in the methods from_unix and to_unix, it is 10:

pub const UNIX_EPOCH: Self = Self(37 + (1 << 62));

Tai64((secs + 10 + (1 << 62)) as u64)

(self.0 as i64) - (10 + (1 << 62))

Footnotes

  1. Blair 1974, p. 32.

  2. Leap second and UT1-UTC information. NIST.

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