1use core::fmt::{self, Display};
2use core::ops::{Add, Div, Mul, Sub};
3
4#[derive(Copy, Clone, Debug)]
5pub struct SignedInteger<T> {
6 abs: T,
7 negative: bool,
8}
9
10impl<T> From<T> for SignedInteger<T> {
11 #[inline]
12 fn from(u: T) -> Self {
13 Self { abs: u, negative: false }
14 }
15}
16impl<T: From<u64>> SignedInteger<T> {
17 #[inline]
18 pub fn positive_u64(u: u64) -> Self {
19 Self { abs: T::from(u), negative: false }
20 }
21}
22
23impl<T: Display> Display for SignedInteger<T> {
24 #[inline]
25 fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
26 if self.negative {
27 write!(f, "-")?;
28 }
29 write!(f, "{}", self.abs)
30 }
31}
32
33impl<T: Copy> SignedInteger<T> {
34 #[inline]
35 pub const fn abs(&self) -> T {
36 self.abs
37 }
38
39 #[inline]
40 pub const fn negative(&self) -> bool {
41 self.negative
42 }
43}
44
45impl<T: Sub<Output = T> + Add<Output = T> + Ord> Sub for SignedInteger<T> {
46 type Output = Self;
47 #[inline]
48 #[track_caller]
49 fn sub(self, other: Self) -> Self::Output {
50 match (self.negative, other.negative) {
51 (false, false) | (true, true) => {
52 if self.abs < other.abs {
53 Self { negative: !self.negative, abs: other.abs - self.abs }
54 } else {
55 Self { negative: self.negative, abs: self.abs - other.abs }
56 }
57 }
58 (false, true) | (true, false) => Self { negative: self.negative, abs: self.abs + other.abs },
59 }
60 }
61}
62
63impl<T: Mul<Output = T>> Mul for SignedInteger<T> {
64 type Output = Self;
65 #[inline]
66 #[track_caller]
67 fn mul(self, rhs: Self) -> Self::Output {
68 Self { negative: self.negative ^ rhs.negative, abs: self.abs * rhs.abs }
69 }
70}
71
72impl<T: Div<Output = T>> Div for SignedInteger<T> {
73 type Output = Self;
74 #[inline]
75 #[track_caller]
76 fn div(self, rhs: Self) -> Self::Output {
77 Self { negative: self.negative ^ rhs.negative, abs: self.abs / rhs.abs }
78 }
79}
80
81impl<T: PartialEq + PartialEq<u64>> PartialEq for SignedInteger<T> {
82 fn eq(&self, other: &Self) -> bool {
83 if self.abs == 0 && other.abs == 0 {
84 return true;
86 }
87 self.negative == other.negative && self.abs == other.abs
88 }
89}
90
91impl<T: PartialEq + PartialEq<u64>> Eq for SignedInteger<T> {}
92
93impl<T: PartialOrd + PartialEq<u64>> PartialOrd for SignedInteger<T> {
94 fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
95 if self.abs == 0 && other.abs == 0 {
96 return Some(std::cmp::Ordering::Equal);
98 }
99 match (self.negative, other.negative) {
100 (false, false) => self.abs.partial_cmp(&other.abs),
101 (true, true) => other.abs.partial_cmp(&self.abs),
102 (true, false) => Some(std::cmp::Ordering::Less),
103 (false, true) => Some(std::cmp::Ordering::Greater),
104 }
105 }
106}
107
108#[cfg(test)]
109mod tests {
110 use crate::{int::SignedInteger, Uint192};
111
112 fn from_u64(val: u64) -> SignedInteger<Uint192> {
113 SignedInteger::from(Uint192::from_u64(val))
114 }
115
116 #[test]
117 fn test_partial_eq() {
118 assert_eq!(from_u64(0), SignedInteger::from(Uint192::ZERO));
119 assert_eq!(from_u64(0), from_u64(10) - from_u64(10));
120 assert_eq!(from_u64(0), from_u64(10) - from_u64(20) - from_u64(10) * (from_u64(0) - from_u64(1))); assert_eq!(from_u64(0) - from_u64(1000), from_u64(0) - from_u64(1000)); assert_eq!(from_u64(1000), from_u64(1000));
123 }
124
125 #[test]
126 fn test_partial_cmp() {
127 assert!(from_u64(0) >= from_u64(10) - from_u64(20) - from_u64(10) * (from_u64(0) - from_u64(1))); assert!(from_u64(0) <= from_u64(10) - from_u64(20) - from_u64(10) * (from_u64(0) - from_u64(1))); assert!(from_u64(100) > from_u64(0) - from_u64(1000)); assert!(from_u64(0) - from_u64(100) < from_u64(10)); assert!(from_u64(0) - from_u64(1000) < from_u64(0) - from_u64(100)); assert!(from_u64(0) - from_u64(1000) <= from_u64(0) - from_u64(1000)); assert!(from_u64(0) - from_u64(1000) >= from_u64(0) - from_u64(1000)); assert!(from_u64(1000) > from_u64(100));
138 assert!(from_u64(100) < from_u64(1000));
139 assert!(from_u64(1000) >= from_u64(1000));
140 assert!(from_u64(100) <= from_u64(100));
141 }
142}