use super::Sign::{self, Minus, NoSign, Plus};
use super::{BigInt, ToBigInt};
use crate::TryFromBigIntError;
use crate::{BigUint, ParseBigIntError, ToBigUint};
use alloc::vec::Vec;
use core::cmp::Ordering::{Equal, Greater, Less};
use core::convert::TryFrom;
use core::str::{self, FromStr};
use num_traits::{FromPrimitive, Num, One, ToPrimitive, Zero};
impl FromStr for BigInt {
type Err = ParseBigIntError;
#[inline]
fn from_str(s: &str) -> Result<BigInt, ParseBigIntError> {
BigInt::from_str_radix(s, 10)
}
}
impl Num for BigInt {
type FromStrRadixErr = ParseBigIntError;
#[inline]
fn from_str_radix(mut s: &str, radix: u32) -> Result<BigInt, ParseBigIntError> {
let sign = if let Some(tail) = s.strip_prefix('-') {
if !tail.starts_with('+') {
s = tail
}
Minus
} else {
Plus
};
let bu = BigUint::from_str_radix(s, radix)?;
Ok(BigInt::from_biguint(sign, bu))
}
}
impl ToPrimitive for BigInt {
#[inline]
fn to_i64(&self) -> Option<i64> {
match self.sign {
Plus => self.data.to_i64(),
NoSign => Some(0),
Minus => {
let n = self.data.to_u64()?;
let m: u64 = 1 << 63;
match n.cmp(&m) {
Less => Some(-(n as i64)),
Equal => Some(i64::MIN),
Greater => None,
}
}
}
}
#[inline]
fn to_i128(&self) -> Option<i128> {
match self.sign {
Plus => self.data.to_i128(),
NoSign => Some(0),
Minus => {
let n = self.data.to_u128()?;
let m: u128 = 1 << 127;
match n.cmp(&m) {
Less => Some(-(n as i128)),
Equal => Some(i128::MIN),
Greater => None,
}
}
}
}
#[inline]
fn to_u64(&self) -> Option<u64> {
match self.sign {
Plus => self.data.to_u64(),
NoSign => Some(0),
Minus => None,
}
}
#[inline]
fn to_u128(&self) -> Option<u128> {
match self.sign {
Plus => self.data.to_u128(),
NoSign => Some(0),
Minus => None,
}
}
#[inline]
fn to_f32(&self) -> Option<f32> {
let n = self.data.to_f32()?;
Some(if self.sign == Minus { -n } else { n })
}
#[inline]
fn to_f64(&self) -> Option<f64> {
let n = self.data.to_f64()?;
Some(if self.sign == Minus { -n } else { n })
}
}
macro_rules! impl_try_from_bigint {
($T:ty, $to_ty:path) => {
impl TryFrom<&BigInt> for $T {
type Error = TryFromBigIntError<()>;
#[inline]
fn try_from(value: &BigInt) -> Result<$T, TryFromBigIntError<()>> {
$to_ty(value).ok_or(TryFromBigIntError::new(()))
}
}
impl TryFrom<BigInt> for $T {
type Error = TryFromBigIntError<BigInt>;
#[inline]
fn try_from(value: BigInt) -> Result<$T, TryFromBigIntError<BigInt>> {
<$T>::try_from(&value).map_err(|_| TryFromBigIntError::new(value))
}
}
};
}
impl_try_from_bigint!(u8, ToPrimitive::to_u8);
impl_try_from_bigint!(u16, ToPrimitive::to_u16);
impl_try_from_bigint!(u32, ToPrimitive::to_u32);
impl_try_from_bigint!(u64, ToPrimitive::to_u64);
impl_try_from_bigint!(usize, ToPrimitive::to_usize);
impl_try_from_bigint!(u128, ToPrimitive::to_u128);
impl_try_from_bigint!(i8, ToPrimitive::to_i8);
impl_try_from_bigint!(i16, ToPrimitive::to_i16);
impl_try_from_bigint!(i32, ToPrimitive::to_i32);
impl_try_from_bigint!(i64, ToPrimitive::to_i64);
impl_try_from_bigint!(isize, ToPrimitive::to_isize);
impl_try_from_bigint!(i128, ToPrimitive::to_i128);
impl FromPrimitive for BigInt {
#[inline]
fn from_i64(n: i64) -> Option<BigInt> {
Some(BigInt::from(n))
}
#[inline]
fn from_i128(n: i128) -> Option<BigInt> {
Some(BigInt::from(n))
}
#[inline]
fn from_u64(n: u64) -> Option<BigInt> {
Some(BigInt::from(n))
}
#[inline]
fn from_u128(n: u128) -> Option<BigInt> {
Some(BigInt::from(n))
}
#[inline]
fn from_f64(n: f64) -> Option<BigInt> {
if n >= 0.0 {
BigUint::from_f64(n).map(BigInt::from)
} else {
let x = BigUint::from_f64(-n)?;
Some(-BigInt::from(x))
}
}
}
impl From<i64> for BigInt {
#[inline]
fn from(n: i64) -> Self {
if n >= 0 {
BigInt::from(n as u64)
} else {
let u = u64::MAX - (n as u64) + 1;
BigInt {
sign: Minus,
data: BigUint::from(u),
}
}
}
}
impl From<i128> for BigInt {
#[inline]
fn from(n: i128) -> Self {
if n >= 0 {
BigInt::from(n as u128)
} else {
let u = u128::MAX - (n as u128) + 1;
BigInt {
sign: Minus,
data: BigUint::from(u),
}
}
}
}
macro_rules! impl_bigint_from_int {
($T:ty) => {
impl From<$T> for BigInt {
#[inline]
fn from(n: $T) -> Self {
BigInt::from(n as i64)
}
}
};
}
impl_bigint_from_int!(i8);
impl_bigint_from_int!(i16);
impl_bigint_from_int!(i32);
impl_bigint_from_int!(isize);
impl From<u64> for BigInt {
#[inline]
fn from(n: u64) -> Self {
if n > 0 {
BigInt {
sign: Plus,
data: BigUint::from(n),
}
} else {
Self::ZERO
}
}
}
impl From<u128> for BigInt {
#[inline]
fn from(n: u128) -> Self {
if n > 0 {
BigInt {
sign: Plus,
data: BigUint::from(n),
}
} else {
Self::ZERO
}
}
}
macro_rules! impl_bigint_from_uint {
($T:ty) => {
impl From<$T> for BigInt {
#[inline]
fn from(n: $T) -> Self {
BigInt::from(n as u64)
}
}
};
}
impl_bigint_from_uint!(u8);
impl_bigint_from_uint!(u16);
impl_bigint_from_uint!(u32);
impl_bigint_from_uint!(usize);
impl From<BigUint> for BigInt {
#[inline]
fn from(n: BigUint) -> Self {
if n.is_zero() {
Self::ZERO
} else {
BigInt {
sign: Plus,
data: n,
}
}
}
}
impl ToBigInt for BigInt {
#[inline]
fn to_bigint(&self) -> Option<BigInt> {
Some(self.clone())
}
}
impl ToBigInt for BigUint {
#[inline]
fn to_bigint(&self) -> Option<BigInt> {
if self.is_zero() {
Some(BigInt::ZERO)
} else {
Some(BigInt {
sign: Plus,
data: self.clone(),
})
}
}
}
impl ToBigUint for BigInt {
#[inline]
fn to_biguint(&self) -> Option<BigUint> {
match self.sign() {
Plus => Some(self.data.clone()),
NoSign => Some(BigUint::ZERO),
Minus => None,
}
}
}
impl TryFrom<&BigInt> for BigUint {
type Error = TryFromBigIntError<()>;
#[inline]
fn try_from(value: &BigInt) -> Result<BigUint, TryFromBigIntError<()>> {
value
.to_biguint()
.ok_or_else(|| TryFromBigIntError::new(()))
}
}
impl TryFrom<BigInt> for BigUint {
type Error = TryFromBigIntError<BigInt>;
#[inline]
fn try_from(value: BigInt) -> Result<BigUint, TryFromBigIntError<BigInt>> {
if value.sign() == Sign::Minus {
Err(TryFromBigIntError::new(value))
} else {
Ok(value.data)
}
}
}
macro_rules! impl_to_bigint {
($T:ty, $from_ty:path) => {
impl ToBigInt for $T {
#[inline]
fn to_bigint(&self) -> Option<BigInt> {
$from_ty(*self)
}
}
};
}
impl_to_bigint!(isize, FromPrimitive::from_isize);
impl_to_bigint!(i8, FromPrimitive::from_i8);
impl_to_bigint!(i16, FromPrimitive::from_i16);
impl_to_bigint!(i32, FromPrimitive::from_i32);
impl_to_bigint!(i64, FromPrimitive::from_i64);
impl_to_bigint!(i128, FromPrimitive::from_i128);
impl_to_bigint!(usize, FromPrimitive::from_usize);
impl_to_bigint!(u8, FromPrimitive::from_u8);
impl_to_bigint!(u16, FromPrimitive::from_u16);
impl_to_bigint!(u32, FromPrimitive::from_u32);
impl_to_bigint!(u64, FromPrimitive::from_u64);
impl_to_bigint!(u128, FromPrimitive::from_u128);
impl_to_bigint!(f32, FromPrimitive::from_f32);
impl_to_bigint!(f64, FromPrimitive::from_f64);
impl From<bool> for BigInt {
fn from(x: bool) -> Self {
if x {
One::one()
} else {
Self::ZERO
}
}
}
#[inline]
pub(super) fn from_signed_bytes_be(digits: &[u8]) -> BigInt {
let sign = match digits.first() {
Some(v) if *v > 0x7f => Sign::Minus,
Some(_) => Sign::Plus,
None => return BigInt::ZERO,
};
if sign == Sign::Minus {
let mut digits = Vec::from(digits);
twos_complement_be(&mut digits);
BigInt::from_biguint(sign, BigUint::from_bytes_be(&digits))
} else {
BigInt::from_biguint(sign, BigUint::from_bytes_be(digits))
}
}
#[inline]
pub(super) fn from_signed_bytes_le(digits: &[u8]) -> BigInt {
let sign = match digits.last() {
Some(v) if *v > 0x7f => Sign::Minus,
Some(_) => Sign::Plus,
None => return BigInt::ZERO,
};
if sign == Sign::Minus {
let mut digits = Vec::from(digits);
twos_complement_le(&mut digits);
BigInt::from_biguint(sign, BigUint::from_bytes_le(&digits))
} else {
BigInt::from_biguint(sign, BigUint::from_bytes_le(digits))
}
}
#[inline]
pub(super) fn to_signed_bytes_be(x: &BigInt) -> Vec<u8> {
let mut bytes = x.data.to_bytes_be();
let first_byte = bytes.first().cloned().unwrap_or(0);
if first_byte > 0x7f
&& !(first_byte == 0x80 && bytes.iter().skip(1).all(Zero::is_zero) && x.sign == Sign::Minus)
{
bytes.insert(0, 0);
}
if x.sign == Sign::Minus {
twos_complement_be(&mut bytes);
}
bytes
}
#[inline]
pub(super) fn to_signed_bytes_le(x: &BigInt) -> Vec<u8> {
let mut bytes = x.data.to_bytes_le();
let last_byte = bytes.last().cloned().unwrap_or(0);
if last_byte > 0x7f
&& !(last_byte == 0x80
&& bytes.iter().rev().skip(1).all(Zero::is_zero)
&& x.sign == Sign::Minus)
{
bytes.push(0);
}
if x.sign == Sign::Minus {
twos_complement_le(&mut bytes);
}
bytes
}
#[inline]
fn twos_complement_le(digits: &mut [u8]) {
twos_complement(digits)
}
#[inline]
fn twos_complement_be(digits: &mut [u8]) {
twos_complement(digits.iter_mut().rev())
}
#[inline]
fn twos_complement<'a, I>(digits: I)
where
I: IntoIterator<Item = &'a mut u8>,
{
let mut carry = true;
for d in digits {
*d = !*d;
if carry {
*d = d.wrapping_add(1);
carry = d.is_zero();
}
}
}