use super::BigUint;
use crate::big_digit::{self, BigDigit};
use crate::UsizePromotion;
use core::cmp::Ordering::{Equal, Greater, Less};
use core::ops::{Sub, SubAssign};
use num_traits::CheckedSub;
#[cfg(target_arch = "x86_64")]
use core::arch::x86_64 as arch;
#[cfg(target_arch = "x86")]
use core::arch::x86 as arch;
#[cfg(target_arch = "x86_64")]
cfg_64!(
#[inline]
fn sbb(borrow: u8, a: u64, b: u64, out: &mut u64) -> u8 {
unsafe { arch::_subborrow_u64(borrow, a, b, out) }
}
);
#[cfg(any(target_arch = "x86", target_arch = "x86_64"))]
cfg_32!(
#[inline]
fn sbb(borrow: u8, a: u32, b: u32, out: &mut u32) -> u8 {
unsafe { arch::_subborrow_u32(borrow, a, b, out) }
}
);
#[cfg(not(any(target_arch = "x86", target_arch = "x86_64")))]
#[inline]
fn sbb(borrow: u8, lhs: BigDigit, rhs: BigDigit, out: &mut BigDigit) -> u8 {
let (a, b) = lhs.overflowing_sub(rhs);
let (c, d) = a.overflowing_sub(borrow as BigDigit);
*out = c;
u8::from(b || d)
}
pub(super) fn sub2(a: &mut [BigDigit], b: &[BigDigit]) {
let mut borrow = 0;
let len = Ord::min(a.len(), b.len());
let (a_lo, a_hi) = a.split_at_mut(len);
let (b_lo, b_hi) = b.split_at(len);
for (a, b) in a_lo.iter_mut().zip(b_lo) {
borrow = sbb(borrow, *a, *b, a);
}
if borrow != 0 {
for a in a_hi {
borrow = sbb(borrow, *a, 0, a);
if borrow == 0 {
break;
}
}
}
assert!(
borrow == 0 && b_hi.iter().all(|x| *x == 0),
"Cannot subtract b from a because b is larger than a."
);
}
#[inline]
fn __sub2rev(a: &[BigDigit], b: &mut [BigDigit]) -> u8 {
debug_assert!(b.len() == a.len());
let mut borrow = 0;
for (ai, bi) in a.iter().zip(b) {
borrow = sbb(borrow, *ai, *bi, bi);
}
borrow
}
fn sub2rev(a: &[BigDigit], b: &mut [BigDigit]) {
debug_assert!(b.len() >= a.len());
let len = Ord::min(a.len(), b.len());
let (a_lo, a_hi) = a.split_at(len);
let (b_lo, b_hi) = b.split_at_mut(len);
let borrow = __sub2rev(a_lo, b_lo);
assert!(a_hi.is_empty());
assert!(
borrow == 0 && b_hi.iter().all(|x| *x == 0),
"Cannot subtract b from a because b is larger than a."
);
}
forward_val_val_binop!(impl Sub for BigUint, sub);
forward_ref_ref_binop!(impl Sub for BigUint, sub);
forward_val_assign!(impl SubAssign for BigUint, sub_assign);
impl Sub<&BigUint> for BigUint {
type Output = BigUint;
fn sub(mut self, other: &BigUint) -> BigUint {
self -= other;
self
}
}
impl SubAssign<&BigUint> for BigUint {
fn sub_assign(&mut self, other: &BigUint) {
sub2(&mut self.data[..], &other.data[..]);
self.normalize();
}
}
impl Sub<BigUint> for &BigUint {
type Output = BigUint;
fn sub(self, mut other: BigUint) -> BigUint {
let other_len = other.data.len();
if other_len < self.data.len() {
let lo_borrow = __sub2rev(&self.data[..other_len], &mut other.data);
other.data.extend_from_slice(&self.data[other_len..]);
if lo_borrow != 0 {
sub2(&mut other.data[other_len..], &[1])
}
} else {
sub2rev(&self.data[..], &mut other.data[..]);
}
other.normalized()
}
}
promote_unsigned_scalars!(impl Sub for BigUint, sub);
promote_unsigned_scalars_assign!(impl SubAssign for BigUint, sub_assign);
forward_all_scalar_binop_to_val_val!(impl Sub<u32> for BigUint, sub);
forward_all_scalar_binop_to_val_val!(impl Sub<u64> for BigUint, sub);
forward_all_scalar_binop_to_val_val!(impl Sub<u128> for BigUint, sub);
impl Sub<u32> for BigUint {
type Output = BigUint;
#[inline]
fn sub(mut self, other: u32) -> BigUint {
self -= other;
self
}
}
impl SubAssign<u32> for BigUint {
fn sub_assign(&mut self, other: u32) {
sub2(&mut self.data[..], &[other as BigDigit]);
self.normalize();
}
}
impl Sub<BigUint> for u32 {
type Output = BigUint;
cfg_digit!(
#[inline]
fn sub(self, mut other: BigUint) -> BigUint {
if other.data.len() == 0 {
other.data.push(self);
} else {
sub2rev(&[self], &mut other.data[..]);
}
other.normalized()
}
#[inline]
fn sub(self, mut other: BigUint) -> BigUint {
if other.data.is_empty() {
other.data.push(self as BigDigit);
} else {
sub2rev(&[self as BigDigit], &mut other.data[..]);
}
other.normalized()
}
);
}
impl Sub<u64> for BigUint {
type Output = BigUint;
#[inline]
fn sub(mut self, other: u64) -> BigUint {
self -= other;
self
}
}
impl SubAssign<u64> for BigUint {
cfg_digit!(
#[inline]
fn sub_assign(&mut self, other: u64) {
let (hi, lo) = big_digit::from_doublebigdigit(other);
sub2(&mut self.data[..], &[lo, hi]);
self.normalize();
}
#[inline]
fn sub_assign(&mut self, other: u64) {
sub2(&mut self.data[..], &[other as BigDigit]);
self.normalize();
}
);
}
impl Sub<BigUint> for u64 {
type Output = BigUint;
cfg_digit!(
#[inline]
fn sub(self, mut other: BigUint) -> BigUint {
while other.data.len() < 2 {
other.data.push(0);
}
let (hi, lo) = big_digit::from_doublebigdigit(self);
sub2rev(&[lo, hi], &mut other.data[..]);
other.normalized()
}
#[inline]
fn sub(self, mut other: BigUint) -> BigUint {
if other.data.is_empty() {
other.data.push(self);
} else {
sub2rev(&[self], &mut other.data[..]);
}
other.normalized()
}
);
}
impl Sub<u128> for BigUint {
type Output = BigUint;
#[inline]
fn sub(mut self, other: u128) -> BigUint {
self -= other;
self
}
}
impl SubAssign<u128> for BigUint {
cfg_digit!(
#[inline]
fn sub_assign(&mut self, other: u128) {
let (a, b, c, d) = super::u32_from_u128(other);
sub2(&mut self.data[..], &[d, c, b, a]);
self.normalize();
}
#[inline]
fn sub_assign(&mut self, other: u128) {
let (hi, lo) = big_digit::from_doublebigdigit(other);
sub2(&mut self.data[..], &[lo, hi]);
self.normalize();
}
);
}
impl Sub<BigUint> for u128 {
type Output = BigUint;
cfg_digit!(
#[inline]
fn sub(self, mut other: BigUint) -> BigUint {
while other.data.len() < 4 {
other.data.push(0);
}
let (a, b, c, d) = super::u32_from_u128(self);
sub2rev(&[d, c, b, a], &mut other.data[..]);
other.normalized()
}
#[inline]
fn sub(self, mut other: BigUint) -> BigUint {
while other.data.len() < 2 {
other.data.push(0);
}
let (hi, lo) = big_digit::from_doublebigdigit(self);
sub2rev(&[lo, hi], &mut other.data[..]);
other.normalized()
}
);
}
impl CheckedSub for BigUint {
#[inline]
fn checked_sub(&self, v: &BigUint) -> Option<BigUint> {
match self.cmp(v) {
Less => None,
Equal => Some(Self::ZERO),
Greater => Some(self.sub(v)),
}
}
}