Fix regression and overflow bug for rationals.

This commit is contained in:
Joseph Crail 2014-09-17 21:08:06 -04:00
parent 4fa331aa41
commit d9b56348c6
1 changed files with 44 additions and 5 deletions

View File

@ -139,12 +139,29 @@ impl<T: Clone + Integer + PartialOrd>
/// Rounds to the nearest integer. Rounds half-way cases away from zero.
#[inline]
pub fn round(&self) -> Ratio<T> {
if *self < Zero::zero() {
// a/b - 1/2 = (2*a - b)/(2*b)
Ratio::from_integer((self.numer + self.numer - self.denom) / (self.denom + self.denom))
let one: T = One::one();
let two: T = one + one;
// Find unsigned fractional part of rational number
let fractional = self.fract().abs();
// The algorithm compares the unsigned fractional part with 1/2, that
// is, a/b >= 1/2, or a >= b/2. For odd denominators, we use
// a >= (b/2)+1. This avoids overflow issues.
let half_or_larger = if fractional.denom().is_even() {
*fractional.numer() >= *fractional.denom() / two
} else {
// a/b + 1/2 = (2*a + b)/(2*b)
Ratio::from_integer((self.numer + self.numer + self.denom) / (self.denom + self.denom))
*fractional.numer() >= (*fractional.denom() / two) + one
};
if half_or_larger {
if *self >= Zero::zero() {
self.trunc() + One::one()
} else {
self.trunc() - One::one()
}
} else {
self.trunc()
}
}
@ -382,6 +399,7 @@ mod test {
use std::from_str::FromStr;
use std::hash::hash;
use std::num;
use std::i32;
pub static _0 : Rational = Ratio { numer: 0, denom: 1};
pub static _1 : Rational = Ratio { numer: 1, denom: 1};
@ -616,6 +634,27 @@ mod test {
assert_eq!(_1.floor(), _1);
assert_eq!(_1.round(), _1);
assert_eq!(_1.trunc(), _1);
// Overflow checks
let _neg1 = Ratio::from_integer(-1);
let _large_rat1 = Ratio::new(i32::MAX, i32::MAX-1);
let _large_rat2 = Ratio::new(i32::MAX-1, i32::MAX);
let _large_rat3 = Ratio::new(i32::MIN+2, i32::MIN+1);
let _large_rat4 = Ratio::new(i32::MIN+1, i32::MIN+2);
let _large_rat5 = Ratio::new(i32::MIN+2, i32::MAX);
let _large_rat6 = Ratio::new(i32::MAX, i32::MIN+2);
let _large_rat7 = Ratio::new(1, i32::MIN+1);
let _large_rat8 = Ratio::new(1, i32::MAX);
assert_eq!(_large_rat1.round(), One::one());
assert_eq!(_large_rat2.round(), One::one());
assert_eq!(_large_rat3.round(), One::one());
assert_eq!(_large_rat4.round(), One::one());
assert_eq!(_large_rat5.round(), _neg1);
assert_eq!(_large_rat6.round(), _neg1);
assert_eq!(_large_rat7.round(), Zero::zero());
assert_eq!(_large_rat8.round(), Zero::zero());
}
#[test]