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Diffstat (limited to 'vendor/itoa/src/udiv128.rs')
-rw-r--r-- | vendor/itoa/src/udiv128.rs | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/vendor/itoa/src/udiv128.rs b/vendor/itoa/src/udiv128.rs new file mode 100644 index 0000000..0587047 --- /dev/null +++ b/vendor/itoa/src/udiv128.rs @@ -0,0 +1,48 @@ +#[cfg(feature = "no-panic")] +use no_panic::no_panic; + +/// Multiply unsigned 128 bit integers, return upper 128 bits of the result +#[inline] +#[cfg_attr(feature = "no-panic", no_panic)] +fn u128_mulhi(x: u128, y: u128) -> u128 { + let x_lo = x as u64; + let x_hi = (x >> 64) as u64; + let y_lo = y as u64; + let y_hi = (y >> 64) as u64; + + // handle possibility of overflow + let carry = (x_lo as u128 * y_lo as u128) >> 64; + let m = x_lo as u128 * y_hi as u128 + carry; + let high1 = m >> 64; + + let m_lo = m as u64; + let high2 = (x_hi as u128 * y_lo as u128 + m_lo as u128) >> 64; + + x_hi as u128 * y_hi as u128 + high1 + high2 +} + +/// Divide `n` by 1e19 and return quotient and remainder +/// +/// Integer division algorithm is based on the following paper: +/// +/// T. Granlund and P. Montgomery, “Division by Invariant Integers Using Multiplication” +/// in Proc. of the SIGPLAN94 Conference on Programming Language Design and +/// Implementation, 1994, pp. 61–72 +/// +#[inline] +#[cfg_attr(feature = "no-panic", no_panic)] +pub fn udivmod_1e19(n: u128) -> (u128, u64) { + let d = 10_000_000_000_000_000_000_u64; // 10^19 + + let quot = if n < 1 << 83 { + ((n >> 19) as u64 / (d >> 19)) as u128 + } else { + u128_mulhi(n, 156927543384667019095894735580191660403) >> 62 + }; + + let rem = (n - quot * d as u128) as u64; + debug_assert_eq!(quot, n / d as u128); + debug_assert_eq!(rem as u128, n % d as u128); + + (quot, rem) +} |