| #[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) | 
 | } |