/*  OpenTally: Open-source election vote counting
 *  Copyright © 2021 Lee Yingtong Li (RunasSudo)
 *
 *  This program is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU Affero General Public License as published by
 *  the Free Software Foundation, either version 3 of the License, or
 *  (at your option) any later version.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU Affero General Public License for more details.
 *
 *  You should have received a copy of the GNU Affero General Public License
 *  along with this program.  If not, see <https://www.gnu.org/licenses/>.
 */

use num_traits::{Num, NumAssignRef, NumRef, One, Zero};
use rug::{self, Assign, ops::Pow, rational::ParseRationalError};

use std::cmp::{Ordering, PartialEq, PartialOrd};
use std::convert::TryInto;
use std::fmt;
use std::ops;

//pub trait Number: NumRef + NumAssignRef + PartialOrd + Assign + Clone + fmt::Display where for<'a> &'a Self: RefNum<&'a Self> {
pub trait Number: NumRef + NumAssignRef + ops::Neg<Output=Self> + PartialOrd + Assign + Clone + fmt::Display where for<'a> Self: Assign<&'a Self>{
	fn new() -> Self;
	fn from(n: usize) -> Self;
	
	fn floor_mut(&mut self);
	
	fn parse(s: &str) -> Self {
		if let Ok(value) = Self::from_str_radix(s, 10) {
			return value;
		} else {
			panic!("Syntax Error");
		}
	}
}

pub struct Rational(rug::Rational);

impl Number for Rational {
	fn new() -> Self { Self(rug::Rational::new()) }
	
	fn from(n: usize) -> Self { Self(rug::Rational::from(n)) }
	
	fn floor_mut(&mut self) { self.0.floor_mut() }
}

impl Num for Rational {
	type FromStrRadixErr = ParseRationalError;
	
	fn from_str_radix(str: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr> {
		match rug::Rational::parse_radix(str, radix.try_into().unwrap()) {
			Ok(value) => Ok(Self(rug::Rational::from(value))),
			Err(err) => Err(err)
		}
	}
}

impl Assign for Rational {
	fn assign(&mut self, src: Self) { self.0.assign(src.0) }
}

impl Assign<&Rational> for Rational {
	fn assign(&mut self, src: &Rational) { self.0.assign(&src.0) }
}

impl Clone for Rational {
	fn clone(&self) -> Self { Self(self.0.clone()) }
}

impl fmt::Display for Rational {
	fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
		if let Some(precision) = f.precision() {
			if precision == 0 {
				let result = rug::Integer::from((&self.0).round_ref()).to_string();
				return f.write_str(&result);
			} else {
				let base = rug::Rational::from(10).pow(precision as u32);
				let mut result = rug::Integer::from((&self.0 * base).round_ref()).to_string();
				
				// Add leading 0s
				result = format!("{0:0>1$}", result, precision + 1);
				
				// Add the decimal point
				result.insert(result.len() - precision, '.');
				
				return f.write_str(&result);
			}
		} else {
			return self.0.fmt(f);
		}
	}
}

impl One for Rational {
	fn one() -> Self { Rational(rug::Rational::from(1)) }
}

impl Zero for Rational {
	fn zero() -> Self { Self::new() }
	fn is_zero(&self) -> bool { self.0 == rug::Rational::new() }
}

impl PartialEq for Rational {
	fn eq(&self, _other: &Self) -> bool {
		todo!()
	}
}

impl PartialOrd for Rational {
	fn partial_cmp(&self, other: &Self) -> Option<Ordering> { self.0.partial_cmp(&other.0) }
}

impl ops::Neg for Rational {
	type Output = Rational;
	fn neg(self) -> Self::Output { Rational(-self.0) }
}

impl ops::Add for Rational {
	type Output = Rational;
	fn add(self, _rhs: Self) -> Self::Output {
		todo!()
	}
}

impl ops::Sub for Rational {
	type Output = Rational;
	fn sub(self, _rhs: Self) -> Self::Output {
		todo!()
	}
}

impl ops::Mul for Rational {
	type Output = Rational;
	fn mul(self, _rhs: Self) -> Self::Output {
		todo!()
	}
}

impl ops::Div for Rational {
	type Output = Rational;
	fn div(self, _rhs: Self) -> Self::Output {
		todo!()
	}
}

impl ops::Rem for Rational {
	type Output = Rational;
	
	fn rem(self, _rhs: Self) -> Self::Output {
		todo!()
	}
}

impl ops::Add<&Rational> for Rational {
	type Output = Rational;
	fn add(self, _rhs: &Rational) -> Self::Output {
		todo!()
	}
}

impl ops::Sub<&Rational> for Rational {
	type Output = Rational;
	fn sub(self, _rhs: &Rational) -> Self::Output {
		todo!()
	}
}

impl ops::Mul<&Rational> for Rational {
	type Output = Rational;
	fn mul(self, rhs: &Rational) -> Self::Output { Rational(self.0 * &rhs.0) }
}

impl ops::Div<&Rational> for Rational {
	type Output = Rational;
	fn div(self, rhs: &Rational) -> Self::Output { Rational(self.0 / &rhs.0) }
}

impl ops::Rem<&Rational> for Rational {
	type Output = Rational;
	fn rem(self, _rhs: &Rational) -> Self::Output {
		todo!()
	}
}

impl ops::AddAssign for Rational {
	fn add_assign(&mut self, rhs: Self) { self.0 += rhs.0 }
}

impl ops::SubAssign for Rational {
	fn sub_assign(&mut self, _rhs: Self) {
		todo!()
	}
}

impl ops::MulAssign for Rational {
	fn mul_assign(&mut self, _rhs: Self) {
		todo!()
	}
}

impl ops::DivAssign for Rational {
	fn div_assign(&mut self, rhs: Self) {
		self.0 /= &rhs.0;
	}
}

impl ops::RemAssign for Rational {
	fn rem_assign(&mut self, _rhs: Self) {
		todo!()
	}
}

impl ops::AddAssign<&Rational> for Rational {
	fn add_assign(&mut self, rhs: &Rational) {
		self.0 += &rhs.0;
	}
}

impl ops::SubAssign<&Rational> for Rational {
	fn sub_assign(&mut self, _rhs: &Rational) {
		todo!()
	}
}

impl ops::MulAssign<&Rational> for Rational {
	fn mul_assign(&mut self, _rhs: &Rational) {
		todo!()
	}
}

impl ops::DivAssign<&Rational> for Rational {
	fn div_assign(&mut self, _rhs: &Rational) {
		todo!()
	}
}

impl ops::RemAssign<&Rational> for Rational {
	fn rem_assign(&mut self, _rhs: &Rational) {
		todo!()
	}
}

impl ops::Add<&Rational> for &Rational {
	type Output = Rational;
	fn add(self, _rhs: &Rational) -> Self::Output {
		todo!()
	}
}

impl ops::Sub<&Rational> for &Rational {
	type Output = Rational;
	fn sub(self, rhs: &Rational) -> Self::Output {
		return Rational(rug::Rational::from(&self.0 - &rhs.0));
	}
}

impl ops::Mul<&Rational> for &Rational {
	type Output = Rational;
	fn mul(self, _rhs: &Rational) -> Self::Output {
		todo!()
	}
}

impl ops::Div<&Rational> for &Rational {
	type Output = Rational;
	fn div(self, _rhs: &Rational) -> Self::Output {
		todo!()
	}
}

impl ops::Rem<&Rational> for &Rational {
	type Output = Rational;
	fn rem(self, _rhs: &Rational) -> Self::Output {
		todo!()
	}
}

/*
impl ops::Add<&&Rational> for &Rational {
	
}

impl ops::Sub<&&Rational> for &Rational {
	
}

impl ops::Mul<&&Rational> for &Rational {
	
}

impl ops::Div<&&Rational> for &Rational {
	
}

impl ops::Rem<&&Rational> for &Rational {
	
}
*/

pub type NumType = Rational;