use super::CheckedUnsignedAbs::{Negative, Positive};
use super::Sign::{Minus, NoSign, Plus};
use super::{BigInt, UnsignedAbs};
use crate::{IsizePromotion, UsizePromotion};
use core::cmp::Ordering::{Equal, Greater, Less};
use core::mem;
use core::ops::{Sub, SubAssign};
use num_traits::{CheckedSub, Zero};
macro_rules! bigint_sub {
($a:expr, $a_owned:expr, $a_data:expr, $b:expr, $b_owned:expr, $b_data:expr) => {
match ($a.sign, $b.sign) {
(_, NoSign) => $a_owned,
(NoSign, _) => -$b_owned,
(Plus, Minus) | (Minus, Plus) => BigInt::from_biguint($a.sign, $a_data + $b_data),
(Plus, Plus) | (Minus, Minus) => match $a.data.cmp(&$b.data) {
Less => BigInt::from_biguint(-$a.sign, $b_data - $a_data),
Greater => BigInt::from_biguint($a.sign, $a_data - $b_data),
Equal => Zero::zero(),
},
}
};
}
impl<'a, 'b> Sub<&'b BigInt> for &'a BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: &BigInt) -> BigInt {
bigint_sub!(
self,
self.clone(),
&self.data,
other,
other.clone(),
&other.data
)
}
}
impl<'a> Sub<BigInt> for &'a BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: BigInt) -> BigInt {
bigint_sub!(self, self.clone(), &self.data, other, other, other.data)
}
}
impl<'a> Sub<&'a BigInt> for BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: &BigInt) -> BigInt {
bigint_sub!(self, self, self.data, other, other.clone(), &other.data)
}
}
impl Sub<BigInt> for BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: BigInt) -> BigInt {
bigint_sub!(self, self, self.data, other, other, other.data)
}
}
impl<'a> SubAssign<&'a BigInt> for BigInt {
#[inline]
fn sub_assign(&mut self, other: &BigInt) {
let n = mem::replace(self, BigInt::zero());
*self = n - other;
}
}
forward_val_assign!(impl SubAssign for BigInt, sub_assign);
promote_all_scalars!(impl Sub for BigInt, sub);
promote_all_scalars_assign!(impl SubAssign for BigInt, sub_assign);
forward_all_scalar_binop_to_val_val!(impl Sub<u32> for BigInt, sub);
forward_all_scalar_binop_to_val_val!(impl Sub<u64> for BigInt, sub);
forward_all_scalar_binop_to_val_val!(impl Sub<u128> for BigInt, sub);
impl Sub<u32> for BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: u32) -> BigInt {
match self.sign {
NoSign => -BigInt::from(other),
Minus => -BigInt::from(self.data + other),
Plus => match self.data.cmp(&From::from(other)) {
Equal => Zero::zero(),
Greater => BigInt::from(self.data - other),
Less => -BigInt::from(other - self.data),
},
}
}
}
impl SubAssign<u32> for BigInt {
#[inline]
fn sub_assign(&mut self, other: u32) {
let n = mem::replace(self, BigInt::zero());
*self = n - other;
}
}
impl Sub<BigInt> for u32 {
type Output = BigInt;
#[inline]
fn sub(self, other: BigInt) -> BigInt {
-(other - self)
}
}
impl Sub<BigInt> for u64 {
type Output = BigInt;
#[inline]
fn sub(self, other: BigInt) -> BigInt {
-(other - self)
}
}
impl Sub<BigInt> for u128 {
type Output = BigInt;
#[inline]
fn sub(self, other: BigInt) -> BigInt {
-(other - self)
}
}
impl Sub<u64> for BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: u64) -> BigInt {
match self.sign {
NoSign => -BigInt::from(other),
Minus => -BigInt::from(self.data + other),
Plus => match self.data.cmp(&From::from(other)) {
Equal => Zero::zero(),
Greater => BigInt::from(self.data - other),
Less => -BigInt::from(other - self.data),
},
}
}
}
impl SubAssign<u64> for BigInt {
#[inline]
fn sub_assign(&mut self, other: u64) {
let n = mem::replace(self, BigInt::zero());
*self = n - other;
}
}
impl Sub<u128> for BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: u128) -> BigInt {
match self.sign {
NoSign => -BigInt::from(other),
Minus => -BigInt::from(self.data + other),
Plus => match self.data.cmp(&From::from(other)) {
Equal => Zero::zero(),
Greater => BigInt::from(self.data - other),
Less => -BigInt::from(other - self.data),
},
}
}
}
impl SubAssign<u128> for BigInt {
#[inline]
fn sub_assign(&mut self, other: u128) {
let n = mem::replace(self, BigInt::zero());
*self = n - other;
}
}
forward_all_scalar_binop_to_val_val!(impl Sub<i32> for BigInt, sub);
forward_all_scalar_binop_to_val_val!(impl Sub<i64> for BigInt, sub);
forward_all_scalar_binop_to_val_val!(impl Sub<i128> for BigInt, sub);
impl Sub<i32> for BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: i32) -> BigInt {
match other.checked_uabs() {
Positive(u) => self - u,
Negative(u) => self + u,
}
}
}
impl SubAssign<i32> for BigInt {
#[inline]
fn sub_assign(&mut self, other: i32) {
match other.checked_uabs() {
Positive(u) => *self -= u,
Negative(u) => *self += u,
}
}
}
impl Sub<BigInt> for i32 {
type Output = BigInt;
#[inline]
fn sub(self, other: BigInt) -> BigInt {
match self.checked_uabs() {
Positive(u) => u - other,
Negative(u) => -other - u,
}
}
}
impl Sub<i64> for BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: i64) -> BigInt {
match other.checked_uabs() {
Positive(u) => self - u,
Negative(u) => self + u,
}
}
}
impl SubAssign<i64> for BigInt {
#[inline]
fn sub_assign(&mut self, other: i64) {
match other.checked_uabs() {
Positive(u) => *self -= u,
Negative(u) => *self += u,
}
}
}
impl Sub<BigInt> for i64 {
type Output = BigInt;
#[inline]
fn sub(self, other: BigInt) -> BigInt {
match self.checked_uabs() {
Positive(u) => u - other,
Negative(u) => -other - u,
}
}
}
impl Sub<i128> for BigInt {
type Output = BigInt;
#[inline]
fn sub(self, other: i128) -> BigInt {
match other.checked_uabs() {
Positive(u) => self - u,
Negative(u) => self + u,
}
}
}
impl SubAssign<i128> for BigInt {
#[inline]
fn sub_assign(&mut self, other: i128) {
match other.checked_uabs() {
Positive(u) => *self -= u,
Negative(u) => *self += u,
}
}
}
impl Sub<BigInt> for i128 {
type Output = BigInt;
#[inline]
fn sub(self, other: BigInt) -> BigInt {
match self.checked_uabs() {
Positive(u) => u - other,
Negative(u) => -other - u,
}
}
}
impl CheckedSub for BigInt {
#[inline]
fn checked_sub(&self, v: &BigInt) -> Option<BigInt> {
Some(self.sub(v))
}
}