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-rw-r--r--vendor/itoa/src/udiv128.rs48
1 files changed, 48 insertions, 0 deletions
diff --git a/vendor/itoa/src/udiv128.rs b/vendor/itoa/src/udiv128.rs
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+#[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)
+}