444 lines
12 KiB
Rust
444 lines
12 KiB
Rust
/* OpenTally: Open-source election vote counting
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* Copyright © 2021 Lee Yingtong Li (RunasSudo)
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*
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* This program is free software: you can redistribute it and/or modify
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* it under the terms of the GNU Affero General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU Affero General Public License for more details.
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*
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* You should have received a copy of the GNU Affero General Public License
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* along with this program. If not, see <https://www.gnu.org/licenses/>.
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*/
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use super::{Assign, Number};
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use num_traits::{Num, One, Zero};
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use rug::{self, ops::Pow, ops::PowAssign, rational::ParseRationalError};
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use rug::Assign as RugAssign;
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use std::cmp::{Ord, Ordering, PartialEq, PartialOrd};
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use std::fmt;
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use std::ops;
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/// Rational number
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#[derive(Clone, Debug, PartialEq, PartialOrd)]
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pub struct Rational(rug::Rational);
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impl Number for Rational {
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fn new() -> Self { Self(rug::Rational::new()) }
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fn describe() -> String { "--numbers rational".to_string() }
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fn describe_opt() -> String { String::new() }
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fn pow_assign(&mut self, exponent: i32) {
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self.0.pow_assign(exponent);
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}
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fn floor_mut(&mut self, dps: usize) {
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if dps == 0 {
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self.0.floor_mut();
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} else {
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let factor = rug::Rational::from(10).pow(dps as u32);
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self.0 *= &factor;
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self.0.floor_mut();
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self.0 /= factor;
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}
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}
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fn ceil_mut(&mut self, dps: usize) {
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if dps == 0 {
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self.0.ceil_mut();
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} else {
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let factor = rug::Rational::from(10).pow(dps as u32);
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self.0 *= &factor;
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self.0.ceil_mut();
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self.0 /= factor;
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}
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}
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fn round_mut(&mut self, dps: usize) {
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if dps == 0 {
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self.0.round_mut();
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} else {
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// TODO: Streamline
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let mut factor = Self::from(10);
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factor.pow_assign(-(dps as i32));
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factor /= Self::from(2);
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*self = self.clone() + factor;
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self.floor_mut(dps);
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}
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}
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fn parse(s: &str) -> Self {
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// Parse decimal
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if s.contains('.') {
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let (whole, decimal) = s.split_once('.').unwrap();
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let whole = match rug::Rational::parse_radix(whole, 10) {
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Ok(value) => rug::Rational::from(value),
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Err(_) => panic!("Syntax Error"),
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};
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let decimal = match rug::Rational::parse_radix(decimal, 10) {
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Ok(value) => rug::Rational::from(value),
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Err(_) => panic!("Syntax Error"),
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} / rug::Rational::from(10).pow(decimal.len() as u32);
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if whole < rug::Rational::new() {
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return Self(whole - decimal);
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} else {
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return Self(whole + decimal);
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}
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}
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// Parse integer
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if let Ok(value) = Self::from_str_radix(s, 10) {
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return value;
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} else {
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panic!("Syntax Error");
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}
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}
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}
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#[test]
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fn describe() {
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// Never executed - just for the sake of code coverage
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assert_eq!(Rational::describe(), "--numbers rational");
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}
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#[test]
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fn rounding() {
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let mut x = Rational::parse("55.550"); x.floor_mut(2); assert_eq!(x, Rational::parse("55.55"));
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let mut x = Rational::parse("55.552"); x.floor_mut(2); assert_eq!(x, Rational::parse("55.55"));
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let mut x = Rational::parse("55.555"); x.floor_mut(2); assert_eq!(x, Rational::parse("55.55"));
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let mut x = Rational::parse("55.557"); x.floor_mut(2); assert_eq!(x, Rational::parse("55.55"));
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let mut x = Rational::parse("55.550"); x.ceil_mut(2); assert_eq!(x, Rational::parse("55.55"));
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let mut x = Rational::parse("55.552"); x.ceil_mut(2); assert_eq!(x, Rational::parse("55.56"));
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let mut x = Rational::parse("55.555"); x.ceil_mut(2); assert_eq!(x, Rational::parse("55.56"));
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let mut x = Rational::parse("55.557"); x.ceil_mut(2); assert_eq!(x, Rational::parse("55.56"));
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let mut x = Rational::parse("55.550"); x.round_mut(2); assert_eq!(x, Rational::parse("55.55"));
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let mut x = Rational::parse("55.552"); x.round_mut(2); assert_eq!(x, Rational::parse("55.55"));
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let mut x = Rational::parse("55.555"); x.round_mut(2); assert_eq!(x, Rational::parse("55.56"));
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let mut x = Rational::parse("55.557"); x.round_mut(2); assert_eq!(x, Rational::parse("55.56"));
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}
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impl Num for Rational {
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type FromStrRadixErr = ParseRationalError;
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fn from_str_radix(str: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr> {
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match rug::Rational::parse_radix(str, radix as i32) {
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Ok(value) => Ok(Self(rug::Rational::from(value))),
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Err(err) => Err(err)
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}
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}
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}
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impl Assign for Rational {
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fn assign(&mut self, src: Self) { self.0.assign(src.0) }
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}
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impl Assign<&Self> for Rational {
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fn assign(&mut self, src: &Self) { self.0.assign(&src.0) }
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}
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#[test]
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fn assign() {
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let a = Rational::parse("123.45");
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let b = Rational::parse("678.90");
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let mut x = a.clone(); x.assign(b.clone()); assert_eq!(x, b);
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let mut x = a.clone(); x.assign(&b); assert_eq!(x, b);
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}
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impl From<usize> for Rational {
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fn from(n: usize) -> Self { Self(rug::Rational::from(n)) }
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}
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impl fmt::Display for Rational {
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fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
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if let Some(precision) = f.precision() {
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if precision == 0 {
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let result = rug::Integer::from((&self.0).round_ref()).to_string();
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return f.write_str(&result);
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} else {
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let base = rug::Rational::from(10).pow(precision as u32);
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let mut result = rug::Integer::from((&self.0 * base).abs().round_ref()).to_string();
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let should_add_minus = (self.0 < 0) && result != "0";
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// Add leading 0s
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result = format!("{0:0>1$}", result, precision + 1);
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// Add the decimal point
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result.insert(result.len() - precision, '.');
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// Add the sign
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if should_add_minus {
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result.insert(0, '-');
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}
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return f.write_str(&result);
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}
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} else {
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return self.0.fmt(f);
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}
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}
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}
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#[test]
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fn display_debug() {
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let x = Rational::parse("123.4"); assert_eq!(format!("{}", x), "617/5");
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let x = Rational::parse("123.4"); assert_eq!(format!("{:.2}", x), "123.40");
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let x = Rational::parse("123.4"); assert_eq!(format!("{:?}", x), "Rational(617/5)");
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}
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impl One for Rational {
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fn one() -> Self { Self(rug::Rational::from(1)) }
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}
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impl Zero for Rational {
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fn zero() -> Self { Self::new() }
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fn is_zero(&self) -> bool { self.0 == rug::Rational::new() }
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}
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impl Eq for Rational {}
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impl Ord for Rational {
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fn cmp(&self, other: &Self) -> Ordering { self.0.cmp(&other.0) }
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}
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impl ops::Neg for Rational {
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type Output = Self;
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fn neg(self) -> Self::Output { Self(-self.0) }
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}
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impl ops::Add for Rational {
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type Output = Self;
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fn add(self, rhs: Self) -> Self::Output { Self(self.0 + rhs.0) }
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}
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impl ops::Sub for Rational {
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type Output = Self;
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fn sub(self, rhs: Self) -> Self::Output { Self(self.0 - rhs.0) }
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}
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impl ops::Mul for Rational {
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type Output = Self;
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fn mul(self, rhs: Self) -> Self::Output { Self(self.0 * rhs.0) }
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}
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impl ops::Div for Rational {
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type Output = Self;
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fn div(self, rhs: Self) -> Self::Output { Self(self.0 / rhs.0) }
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}
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impl ops::Rem for Rational {
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type Output = Self;
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fn rem(self, rhs: Self) -> Self::Output {
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// TODO: Is there a cleaner way of implementing this?
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let mut quotient = self.0 / &rhs.0;
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quotient.rem_trunc_mut();
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quotient *= rhs.0;
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return Self(quotient);
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}
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}
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#[test]
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fn arith_owned_owned() {
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let a = Rational::parse("123.45");
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let b = Rational::parse("678.90");
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assert_eq!(a.clone() + b.clone(), Rational::parse("802.35"));
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assert_eq!(a.clone() - b.clone(), Rational::parse("-555.45"));
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assert_eq!(a.clone() * b.clone(), Rational::parse("83810.205"));
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assert_eq!((a.clone() / b.clone()) * b.clone(), a);
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assert_eq!(b.clone() % a.clone(), Rational::parse("61.65"));
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}
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impl ops::Add<&Self> for Rational {
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type Output = Self;
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fn add(self, rhs: &Self) -> Self::Output { Self(self.0 + &rhs.0) }
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}
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impl ops::Sub<&Self> for Rational {
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type Output = Self;
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fn sub(self, rhs: &Self) -> Self::Output { Self(self.0 - &rhs.0) }
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}
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impl ops::Mul<&Self> for Rational {
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type Output = Self;
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fn mul(self, rhs: &Self) -> Self::Output { Self(self.0 * &rhs.0) }
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}
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impl ops::Div<&Self> for Rational {
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type Output = Self;
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fn div(self, rhs: &Self) -> Self::Output { Self(self.0 / &rhs.0) }
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}
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impl ops::Rem<&Self> for Rational {
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type Output = Self;
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fn rem(self, rhs: &Self) -> Self::Output {
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let mut quotient = self.0 / &rhs.0;
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quotient.rem_trunc_mut();
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quotient *= &rhs.0;
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return Self(quotient);
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}
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}
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#[test]
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fn arith_owned_ref() {
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let a = Rational::parse("123.45");
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let b = Rational::parse("678.90");
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assert_eq!(a.clone() + &b, Rational::parse("802.35"));
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assert_eq!(a.clone() - &b, Rational::parse("-555.45"));
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assert_eq!(a.clone() * &b, Rational::parse("83810.205"));
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assert_eq!((a.clone() / &b) * &b, a);
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assert_eq!(b.clone() % &a, Rational::parse("61.65"));
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}
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impl ops::AddAssign for Rational {
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fn add_assign(&mut self, rhs: Self) { self.0 += rhs.0; }
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}
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impl ops::SubAssign for Rational {
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fn sub_assign(&mut self, rhs: Self) { self.0 -= rhs.0; }
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}
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impl ops::MulAssign for Rational {
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fn mul_assign(&mut self, rhs: Self) { self.0 *= rhs.0; }
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}
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impl ops::DivAssign for Rational {
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fn div_assign(&mut self, rhs: Self) { self.0 /= rhs.0; }
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}
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impl ops::RemAssign for Rational {
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fn rem_assign(&mut self, rhs: Self) {
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self.0 /= &rhs.0;
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self.0.rem_trunc_mut();
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self.0 *= rhs.0;
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}
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}
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#[test]
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fn arithassign_owned() {
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let a = Rational::parse("123.45");
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let b = Rational::parse("678.90");
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let mut x = a.clone(); x += b.clone(); assert_eq!(x, Rational::parse("802.35"));
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let mut x = a.clone(); x -= b.clone(); assert_eq!(x, Rational::parse("-555.45"));
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let mut x = a.clone(); x *= b.clone(); assert_eq!(x, Rational::parse("83810.205"));
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let mut x = a.clone(); x /= b.clone(); x *= &b; assert_eq!(x, a);
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let mut x = b.clone(); x %= a.clone(); assert_eq!(x, Rational::parse("61.65"));
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}
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impl ops::AddAssign<&Self> for Rational {
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fn add_assign(&mut self, rhs: &Self) { self.0 += &rhs.0; }
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}
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impl ops::SubAssign<&Self> for Rational {
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fn sub_assign(&mut self, rhs: &Self) { self.0 -= &rhs.0; }
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}
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impl ops::MulAssign<&Self> for Rational {
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fn mul_assign(&mut self, rhs: &Self) { self.0 *= &rhs.0; }
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}
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impl ops::DivAssign<&Self> for Rational {
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fn div_assign(&mut self, rhs: &Self) { self.0 /= &rhs.0 }
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}
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impl ops::RemAssign<&Self> for Rational {
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fn rem_assign(&mut self, rhs: &Self) {
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self.0 /= &rhs.0;
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self.0.rem_trunc_mut();
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self.0 *= &rhs.0;
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}
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}
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#[test]
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fn arithassign_ref() {
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let a = Rational::parse("123.45");
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let b = Rational::parse("678.90");
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let mut x = a.clone(); x += &b; assert_eq!(x, Rational::parse("802.35"));
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let mut x = a.clone(); x -= &b; assert_eq!(x, Rational::parse("-555.45"));
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let mut x = a.clone(); x *= &b; assert_eq!(x, Rational::parse("83810.205"));
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let mut x = a.clone(); x /= &b; x *= &b; assert_eq!(x, a);
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let mut x = b.clone(); x %= &a; assert_eq!(x, Rational::parse("61.65"));
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}
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impl ops::Neg for &Rational {
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type Output = Rational;
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fn neg(self) -> Self::Output { Rational(rug::Rational::from(-&self.0)) }
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}
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impl ops::Add<Self> for &Rational {
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type Output = Rational;
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fn add(self, rhs: Self) -> Self::Output { Rational(rug::Rational::from(&self.0 + &rhs.0)) }
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}
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impl ops::Sub<Self> for &Rational {
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type Output = Rational;
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fn sub(self, rhs: Self) -> Self::Output { Rational(rug::Rational::from(&self.0 - &rhs.0)) }
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}
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impl ops::Mul<Self> for &Rational {
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type Output = Rational;
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fn mul(self, rhs: Self) -> Self::Output { Rational(rug::Rational::from(&self.0 * &rhs.0)) }
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}
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impl ops::Div<Self> for &Rational {
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type Output = Rational;
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fn div(self, rhs: Self) -> Self::Output { Rational(rug::Rational::from(&self.0 / &rhs.0)) }
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}
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impl ops::Rem<Self> for &Rational {
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type Output = Rational;
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fn rem(self, rhs: Self) -> Self::Output {
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let mut quotient = rug::Rational::from(&self.0 / &rhs.0);
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quotient.rem_trunc_mut();
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quotient *= &rhs.0;
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return Rational(quotient);
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}
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}
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#[test]
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fn arith_ref_ref() {
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let a = Rational::parse("123.45");
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let b = Rational::parse("678.90");
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assert_eq!(&a + &b, Rational::parse("802.35"));
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assert_eq!(&a - &b, Rational::parse("-555.45"));
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assert_eq!(&a * &b, Rational::parse("83810.205"));
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assert_eq!((&a / &b) * &b, a);
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assert_eq!(&b % &a, Rational::parse("61.65"));
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}
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/*
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impl ops::Add<&&Rational> for &Rational {
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}
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impl ops::Sub<&&Rational> for &Rational {
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}
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impl ops::Mul<&&Rational> for &Rational {
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}
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impl ops::Div<&&Rational> for &Rational {
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}
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impl ops::Rem<&&Rational> for &Rational {
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}
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*/
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