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use std::cmp::Ordering;
use std::ops::{Mul, MulAssign, Not};
use crate::non_zero::NonZero;
use crate::sign::Sign;
pub trait NonZeroSigned: NonZero + Clone {
fn signum(&self) -> NonZeroSign;
#[inline]
fn is_positive(&self) -> bool {
self.signum() == NonZeroSign::Positive
}
#[inline]
fn is_negative(&self) -> bool {
self.signum() == NonZeroSign::Negative
}
}
#[derive(Eq, PartialEq, Copy, Clone, Debug)]
pub enum NonZeroSign {
Positive = 1,
Negative = -1,
}
impl NonZero for NonZeroSign {
fn is_not_zero(&self) -> bool {
true
}
}
impl Not for NonZeroSign {
type Output = Self;
fn not(self) -> Self::Output {
match self {
NonZeroSign::Positive => NonZeroSign::Negative,
NonZeroSign::Negative => NonZeroSign::Positive,
}
}
}
impl From<Sign> for NonZeroSign {
fn from(other: Sign) -> Self {
debug_assert!(other.is_not_zero());
match other {
Sign::Positive => NonZeroSign::Positive,
Sign::Zero => panic!("attempt to convert a zero sign into a non zero sign"),
Sign::Negative => NonZeroSign::Negative,
}
}
}
impl PartialOrd for NonZeroSign {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
match (self, other) {
(NonZeroSign::Positive, NonZeroSign::Positive) => None,
(NonZeroSign::Positive, NonZeroSign::Negative) => Some(Ordering::Greater),
(NonZeroSign::Negative, NonZeroSign::Positive) => Some(Ordering::Less),
(NonZeroSign::Negative, NonZeroSign::Negative) => None,
}
}
}
impl Mul for NonZeroSign {
type Output = Self;
fn mul(mut self, rhs: Self) -> Self::Output {
MulAssign::mul_assign(&mut self, rhs);
self
}
}
impl MulAssign for NonZeroSign {
fn mul_assign(&mut self, rhs: Self) {
*self = match (*self, rhs) {
(NonZeroSign::Positive, NonZeroSign::Positive) => NonZeroSign::Positive,
(NonZeroSign::Positive, NonZeroSign::Negative) => NonZeroSign::Negative,
(NonZeroSign::Negative, NonZeroSign::Positive) => NonZeroSign::Negative,
(NonZeroSign::Negative, NonZeroSign::Negative) => NonZeroSign::Positive,
}
}
}
#[cfg(test)]
mod test {
use std::cmp::Ordering;
use crate::{NonZeroSign, NonZeroSigned, Sign};
use crate::{R64, RB};
#[test]
fn test_cmp() {
assert!(NonZeroSign::Positive > NonZeroSign::Negative);
assert_eq!(NonZeroSign::Positive.partial_cmp(&NonZeroSign::Positive), None);
assert_eq!(NonZeroSign::Negative.partial_cmp(&NonZeroSign::Negative), None);
assert_eq!(NonZeroSign::Negative.partial_cmp(&NonZeroSign::Positive), Some(Ordering::Less));
}
#[test]
fn test_numbers() {
use crate::Signed;
assert_eq!(Signed::signum(&RB!(1)), Sign::Positive);
assert_eq!(Signed::signum(&RB!(-1)), Sign::Negative);
assert!(NonZeroSigned::is_positive(&RB!(1)));
assert!(NonZeroSigned::is_negative(&RB!(-1)));
}
#[test]
fn test_numbers_non_zero() {
assert_eq!(NonZeroSigned::signum(&1), NonZeroSign::Positive);
assert_eq!(NonZeroSigned::signum(&(-1)), NonZeroSign::Negative);
assert_eq!(NonZeroSigned::signum(&RB!(-1)) * NonZeroSigned::signum(&RB!(-1)), NonZeroSign::Positive);
assert_eq!(NonZeroSigned::signum(&RB!(1)) * NonZeroSigned::signum(&RB!(1)), NonZeroSign::Positive);
assert_eq!(RB!(-1).signum() * RB!(1).signum(), NonZeroSign::Negative);
assert_eq!(R64!(1).signum(), NonZeroSign::Positive);
assert_eq!(R64!(-1).signum(), NonZeroSign::Negative);
assert_eq!(R64!(-1).signum() * R64!(-1).signum(), NonZeroSign::Positive);
assert_eq!(R64!(1).signum() * R64!(1).signum(), NonZeroSign::Positive);
assert_eq!(R64!(-1).signum() * R64!(1).signum(), NonZeroSign::Negative);
}
#[test]
#[should_panic]
fn test_zero() {
NonZeroSigned::signum(&RB!(0));
}
}