Struct num::BigInt [] [src]

pub struct BigInt { /* fields omitted */ }

A big signed integer type.

Methods

impl BigInt
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Creates and initializes a BigInt.

The digits are in little-endian base 232.

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Creates and initializes a BigInt.

The digits are in little-endian base 232.

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Creates and initializes a BigInt.

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Reinitializes a BigInt.

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Creates and initializes a BigInt.

The bytes are in big-endian byte order.

Examples

use num_bigint::{BigInt, Sign};

assert_eq!(BigInt::from_bytes_be(Sign::Plus, b"A"),
           BigInt::parse_bytes(b"65", 10).unwrap());
assert_eq!(BigInt::from_bytes_be(Sign::Plus, b"AA"),
           BigInt::parse_bytes(b"16705", 10).unwrap());
assert_eq!(BigInt::from_bytes_be(Sign::Plus, b"AB"),
           BigInt::parse_bytes(b"16706", 10).unwrap());
assert_eq!(BigInt::from_bytes_be(Sign::Plus, b"Hello world!"),
           BigInt::parse_bytes(b"22405534230753963835153736737", 10).unwrap());

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Creates and initializes a BigInt.

The bytes are in little-endian byte order.

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Creates and initializes a BigInt from an array of bytes in two's complement binary representation.

The digits are in big-endian base 28.

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Creates and initializes a BigInt from an array of bytes in two's complement.

The digits are in little-endian base 28.

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Creates and initializes a BigInt.

Examples

use num_bigint::{BigInt, ToBigInt};

assert_eq!(BigInt::parse_bytes(b"1234", 10), ToBigInt::to_bigint(&1234));
assert_eq!(BigInt::parse_bytes(b"ABCD", 16), ToBigInt::to_bigint(&0xABCD));
assert_eq!(BigInt::parse_bytes(b"G", 16), None);

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Creates and initializes a BigInt. Each u8 of the input slice is interpreted as one digit of the number and must therefore be less than radix.

The bytes are in big-endian byte order. radix must be in the range 2...256.

Examples

use num_bigint::{BigInt, Sign};

let inbase190 = vec![15, 33, 125, 12, 14];
let a = BigInt::from_radix_be(Sign::Minus, &inbase190, 190).unwrap();
assert_eq!(a.to_radix_be(190), (Sign:: Minus, inbase190));

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Creates and initializes a BigInt. Each u8 of the input slice is interpreted as one digit of the number and must therefore be less than radix.

The bytes are in little-endian byte order. radix must be in the range 2...256.

Examples

use num_bigint::{BigInt, Sign};

let inbase190 = vec![14, 12, 125, 33, 15];
let a = BigInt::from_radix_be(Sign::Minus, &inbase190, 190).unwrap();
assert_eq!(a.to_radix_be(190), (Sign::Minus, inbase190));

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Returns the sign and the byte representation of the BigInt in big-endian byte order.

Examples

use num_bigint::{ToBigInt, Sign};

let i = -1125.to_bigint().unwrap();
assert_eq!(i.to_bytes_be(), (Sign::Minus, vec![4, 101]));

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Returns the sign and the byte representation of the BigInt in little-endian byte order.

Examples

use num_bigint::{ToBigInt, Sign};

let i = -1125.to_bigint().unwrap();
assert_eq!(i.to_bytes_le(), (Sign::Minus, vec![101, 4]));

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Returns the two's complement byte representation of the BigInt in big-endian byte order.

Examples

use num_bigint::ToBigInt;

let i = -1125.to_bigint().unwrap();
assert_eq!(i.to_signed_bytes_be(), vec![251, 155]);

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Returns the two's complement byte representation of the BigInt in little-endian byte order.

Examples

use num_bigint::ToBigInt;

let i = -1125.to_bigint().unwrap();
assert_eq!(i.to_signed_bytes_le(), vec![155, 251]);

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Returns the integer formatted as a string in the given radix. radix must be in the range 2...36.

Examples

use num_bigint::BigInt;

let i = BigInt::parse_bytes(b"ff", 16).unwrap();
assert_eq!(i.to_str_radix(16), "ff");

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Returns the integer in the requested base in big-endian digit order. The output is not given in a human readable alphabet but as a zero based u8 number. radix must be in the range 2...256.

Examples

use num_bigint::{BigInt, Sign};

assert_eq!(BigInt::from(-0xFFFFi64).to_radix_be(159),
           (Sign::Minus, vec![2, 94, 27]));
// 0xFFFF = 65535 = 2*(159^2) + 94*159 + 27

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Returns the integer in the requested base in little-endian digit order. The output is not given in a human readable alphabet but as a zero based u8 number. radix must be in the range 2...256.

Examples

use num_bigint::{BigInt, Sign};

assert_eq!(BigInt::from(-0xFFFFi64).to_radix_le(159),
           (Sign::Minus, vec![27, 94, 2]));
// 0xFFFF = 65535 = 27 + 94*159 + 2*(159^2)

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Returns the sign of the BigInt as a Sign.

Examples

use num_bigint::{ToBigInt, Sign};

assert_eq!(ToBigInt::to_bigint(&1234).unwrap().sign(), Sign::Plus);
assert_eq!(ToBigInt::to_bigint(&-4321).unwrap().sign(), Sign::Minus);
assert_eq!(ToBigInt::to_bigint(&0).unwrap().sign(), Sign::NoSign);

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Determines the fewest bits necessary to express the BigInt, not including the sign.

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Converts this BigInt into a BigUint, if it's not negative.

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Returns (self ^ exponent) mod modulus

Note that this rounds like mod_floor, not like the % operator, which makes a difference when given a negative self or modulus. The result will be in the interval [0, modulus) for modulus > 0, or in the interval (modulus, 0] for modulus < 0

Panics if the exponent is negative or the modulus is zero.

Trait Implementations

impl ToBigInt for BigInt
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impl One for BigInt
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Returns the multiplicative identity element of Self, 1. Read more

impl Ord for BigInt
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impl Hash for BigInt
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impl CheckedSub for BigInt
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Subtracts two numbers, checking for underflow. If underflow happens, None is returned. Read more

impl FromPrimitive for BigInt
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Convert an i64 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert an u64 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert a f64 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert an isize to return an optional value of this type. If the value cannot be represented by this value, the None is returned. Read more

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Convert an i8 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert an i16 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert an i32 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert a usize to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert an u8 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert an u16 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert an u32 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

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Convert a f32 to return an optional value of this type. If the type cannot be represented by this value, the None is returned. Read more

impl Clone for BigInt
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impl From<u8> for BigInt
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impl From<i8> for BigInt
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impl From<u32> for BigInt
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impl From<isize> for BigInt
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impl From<u16> for BigInt
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impl From<usize> for BigInt
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impl From<u64> for BigInt
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impl From<i64> for BigInt
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impl From<BigUint> for BigInt
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impl From<i16> for BigInt
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impl From<i32> for BigInt
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impl ToPrimitive for BigInt
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Converts the value of self to an i64.

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Converts the value of self to an u64.

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Converts the value of self to an f32.

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Converts the value of self to an f64.

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Converts the value of self to an isize.

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Converts the value of self to an i8.

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Converts the value of self to an i16.

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Converts the value of self to an i32.

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Converts the value of self to a usize.

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Converts the value of self to an u8.

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Converts the value of self to an u16.

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Converts the value of self to an u32.

impl Octal for BigInt
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impl<'a> Add<i64> for &'a BigInt
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impl Add<u16> for BigInt
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impl<'a> Add<&'a u8> for BigInt
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impl<'a> Add<&'a i8> for BigInt
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impl Add<i16> for BigInt
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impl<'a, 'b> Add<&'b usize> for &'a BigInt
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impl Add<i32> for BigInt
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impl<'a> Add<&'a u32> for BigInt
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impl<'a> Add<i16> for &'a BigInt
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impl Add<usize> for BigInt
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impl<'a, 'b> Add<&'b u8> for &'a BigInt
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impl Add<isize> for BigInt
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impl<'a> Add<isize> for &'a BigInt
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impl<'a> Add<&'a u16> for BigInt
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impl<'a> Add<&'a BigInt> for BigInt
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impl<'a, 'b> Add<&'b u32> for &'a BigInt
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impl<'a, 'b> Add<&'b i16> for &'a BigInt
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impl<'a> Add<u8> for &'a BigInt
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impl<'a> Add<u16> for &'a BigInt
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impl<'a, 'b> Add<&'b isize> for &'a BigInt
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impl<'a> Add<i32> for &'a BigInt
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impl<'a> Add<&'a i16> for BigInt
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impl<'a, 'b> Add<&'b i64> for &'a BigInt
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impl<'a, 'b> Add<&'b i8> for &'a BigInt
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impl Add<u32> for BigInt
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impl<'a> Add<&'a isize> for BigInt
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impl Add<u64> for BigInt
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impl<'a> Add<&'a usize> for BigInt
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impl<'a, 'b> Add<&'b u64> for &'a BigInt
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impl<'a> Add<u64> for &'a BigInt
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impl<'a> Add<usize> for &'a BigInt
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impl<'a> Add<i8> for &'a BigInt
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impl<'a> Add<&'a i32> for BigInt
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impl<'a> Add<u32> for &'a BigInt
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impl<'a, 'b> Add<&'b u16> for &'a BigInt
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impl Add<BigInt> for BigInt
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impl<'a> Add<&'a u64> for BigInt
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impl Add<i8> for BigInt
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impl Add<i64> for BigInt
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impl<'a> Add<BigInt> for &'a BigInt
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impl<'a, 'b> Add<&'b i32> for &'a BigInt
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impl Add<u8> for BigInt
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impl<'a, 'b> Add<&'b BigInt> for &'a BigInt
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impl<'a> Add<&'a i64> for BigInt
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impl PartialEq<BigInt> for BigInt
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impl FromStr for BigInt
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impl Debug for BigInt
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impl ToBigUint for BigInt
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impl Rem<isize> for BigInt
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impl<'a> Rem<&'a usize> for BigInt
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impl<'a, 'b> Rem<&'b u8> for &'a BigInt
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impl<'a> Rem<usize> for &'a BigInt
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impl<'a> Rem<&'a BigInt> for BigInt
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impl Rem<i32> for BigInt
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impl<'a, 'b> Rem<&'b isize> for &'a BigInt
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impl Rem<usize> for BigInt
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impl<'a, 'b> Rem<&'b u64> for &'a BigInt
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impl<'a> Rem<u16> for &'a BigInt
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impl<'a> Rem<u32> for &'a BigInt
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impl Rem<i16> for BigInt
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impl<'a, 'b> Rem<&'b BigInt> for &'a BigInt
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impl Rem<u64> for BigInt
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impl<'a, 'b> Rem<&'b i32> for &'a BigInt
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impl<'a, 'b> Rem<&'b i8> for &'a BigInt
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impl<'a> Rem<&'a i8> for BigInt
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impl Rem<i64> for BigInt
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impl<'a, 'b> Rem<&'b i64> for &'a BigInt
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impl<'a> Rem<i16> for &'a BigInt
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impl<'a, 'b> Rem<&'b u32> for &'a BigInt
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impl<'a> Rem<&'a u16> for BigInt
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impl<'a> Rem<&'a u64> for BigInt
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impl<'a> Rem<&'a isize> for BigInt
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impl Rem<i8> for BigInt
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impl<'a> Rem<&'a i16> for BigInt
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impl<'a> Rem<u64> for &'a BigInt
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impl Rem<u16> for BigInt
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impl<'a> Rem<&'a i32> for BigInt
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impl<'a> Rem<&'a i64> for BigInt
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impl<'a> Rem<i64> for &'a BigInt
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impl<'a> Rem<i8> for &'a BigInt
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impl Rem<u8> for BigInt
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impl<'a> Rem<&'a u8> for BigInt
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impl<'a> Rem<&'a u32> for BigInt
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impl Rem<BigInt> for BigInt
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impl<'a> Rem<i32> for &'a BigInt
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impl<'a, 'b> Rem<&'b u16> for &'a BigInt
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impl<'a, 'b> Rem<&'b i16> for &'a BigInt
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impl<'a> Rem<u8> for &'a BigInt
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impl<'a> Rem<isize> for &'a BigInt
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impl<'a> Rem<BigInt> for &'a BigInt
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impl<'a, 'b> Rem<&'b usize> for &'a BigInt
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impl Rem<u32> for BigInt
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impl CheckedDiv for BigInt
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Divides two numbers, checking for underflow, overflow and division by zero. If any of that happens, None is returned. Read more

impl Num for BigInt
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Creates and initializes a BigInt.

impl CheckedMul for BigInt
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Multiplies two numbers, checking for underflow or overflow. If underflow or overflow happens, None is returned. Read more

impl Integer for BigInt
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Simultaneous truncated integer division and modulus. Returns (quotient, remainder). Read more

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Floored integer division. Read more

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Floored integer modulo, satisfying: Read more

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Simultaneous floored integer division and modulus. Returns (quotient, remainder). Read more

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Calculates the Greatest Common Divisor (GCD) of the number and other.

The result is always positive.

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Calculates the Lowest Common Multiple (LCM) of the number and other.

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Deprecated, use is_multiple_of instead.

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Returns true if the number is a multiple of other.

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Returns true if the number is divisible by 2.

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Returns true if the number is not divisible by 2.

impl Default for BigInt
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impl Encodable for BigInt
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impl UpperHex for BigInt
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impl<'a> Div<BigInt> for &'a BigInt
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impl<'a> Div<&'a u16> for BigInt
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impl Div<u16> for BigInt
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impl<'a> Div<u16> for &'a BigInt
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impl<'a, 'b> Div<&'b i32> for &'a BigInt
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impl<'a, 'b> Div<&'b u64> for &'a BigInt
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impl Div<u64> for BigInt
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impl Div<u8> for BigInt
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impl<'a> Div<u64> for &'a BigInt
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impl Div<isize> for BigInt
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impl Div<i8> for BigInt
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impl<'a, 'b> Div<&'b u32> for &'a BigInt
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impl Div<BigInt> for BigInt
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impl Div<i16> for BigInt
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impl<'a, 'b> Div<&'b BigInt> for &'a BigInt
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impl Div<i64> for BigInt
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impl<'a> Div<i16> for &'a BigInt
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impl<'a> Div<u8> for &'a BigInt
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impl<'a, 'b> Div<&'b u8> for &'a BigInt
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impl<'a> Div<i64> for &'a BigInt
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impl<'a> Div<isize> for &'a BigInt
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impl<'a> Div<i32> for &'a BigInt
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impl<'a> Div<&'a usize> for BigInt
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impl<'a> Div<&'a i16> for BigInt
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impl<'a, 'b> Div<&'b isize> for &'a BigInt
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impl Div<i32> for BigInt
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impl<'a> Div<&'a u64> for BigInt
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impl<'a> Div<u32> for &'a BigInt
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impl<'a> Div<usize> for &'a BigInt
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impl<'a, 'b> Div<&'b u16> for &'a BigInt
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impl<'a, 'b> Div<&'b i8> for &'a BigInt
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impl<'a> Div<&'a i64> for BigInt
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impl<'a, 'b> Div<&'b i16> for &'a BigInt
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impl<'a> Div<&'a isize> for BigInt
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impl<'a> Div<&'a BigInt> for BigInt
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impl<'a> Div<&'a u8> for BigInt
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impl<'a> Div<&'a i8> for BigInt
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impl Div<usize> for BigInt
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impl<'a> Div<&'a i32> for BigInt
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impl<'a, 'b> Div<&'b usize> for &'a BigInt
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impl<'a> Div<&'a u32> for BigInt
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impl<'a, 'b> Div<&'b i64> for &'a BigInt
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impl<'a> Div<i8> for &'a BigInt
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impl Div<u32> for BigInt
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impl Shr<usize> for BigInt
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impl<'a> Shr<usize> for &'a BigInt
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impl Eq for BigInt
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impl Zero for BigInt
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Returns the additive identity element of Self, 0. Read more

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Returns true if self is equal to the additive identity.

impl CheckedAdd for BigInt
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Adds two numbers, checking for overflow. If overflow happens, None is returned. Read more

impl<'a> Shl<usize> for &'a BigInt
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impl Shl<usize> for BigInt
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impl Decodable for BigInt
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impl<'a> Mul<&'a i64> for BigInt
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impl<'a> Mul<BigInt> for &'a BigInt
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impl Mul<i16> for BigInt
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impl<'a> Mul<&'a u32> for BigInt
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impl Mul<i64> for BigInt
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impl<'a> Mul<&'a BigInt> for BigInt
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impl<'a> Mul<usize> for &'a BigInt
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impl<'a> Mul<u8> for &'a BigInt
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impl Mul<u8> for BigInt
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impl<'a> Mul<&'a i16> for BigInt
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impl<'a> Mul<i16> for &'a BigInt
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impl<'a> Mul<i32> for &'a BigInt
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impl<'a> Mul<u32> for &'a BigInt
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impl Mul<isize> for BigInt
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impl<'a, 'b> Mul<&'b u8> for &'a BigInt
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impl<'a> Mul<&'a u64> for BigInt
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impl Mul<usize> for BigInt
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impl<'a, 'b> Mul<&'b i64> for &'a BigInt
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impl Mul<u64> for BigInt
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impl<'a, 'b> Mul<&'b u32> for &'a BigInt
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impl<'a, 'b> Mul<&'b i8> for &'a BigInt
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impl<'a> Mul<i8> for &'a BigInt
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impl<'a, 'b> Mul<&'b usize> for &'a BigInt
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impl<'a, 'b> Mul<&'b u16> for &'a BigInt
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impl<'a> Mul<&'a isize> for BigInt
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impl Mul<i32> for BigInt
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impl Mul<u16> for BigInt
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impl Mul<u32> for BigInt
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impl<'a, 'b> Mul<&'b isize> for &'a BigInt
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impl<'a, 'b> Mul<&'b BigInt> for &'a BigInt
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impl<'a> Mul<u64> for &'a BigInt
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impl<'a> Mul<&'a u16> for BigInt
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impl<'a> Mul<&'a usize> for BigInt
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impl<'a> Mul<&'a u8> for BigInt
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impl<'a> Mul<i64> for &'a BigInt
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impl Mul<i8> for BigInt
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impl<'a> Mul<isize> for &'a BigInt
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impl<'a> Mul<u16> for &'a BigInt
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impl<'a, 'b> Mul<&'b i16> for &'a BigInt
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impl Mul<BigInt> for BigInt
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impl<'a> Mul<&'a i32> for BigInt
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impl<'a, 'b> Mul<&'b u64> for &'a BigInt
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impl<'a, 'b> Mul<&'b i32> for &'a BigInt
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impl<'a> Mul<&'a i8> for BigInt
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impl Binary for BigInt
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impl LowerHex for BigInt
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impl Display for BigInt
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impl Signed for BigInt
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Computes the absolute value. Read more

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The positive difference of two numbers. Read more

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Returns the sign of the number. Read more

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Returns true if the number is positive and false if the number is zero or negative.

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Returns true if the number is negative and false if the number is zero or positive.

impl<'a, 'b> Sub<&'b isize> for &'a BigInt
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impl<'a> Sub<i8> for &'a BigInt
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impl<'a, 'b> Sub<&'b u16> for &'a BigInt
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impl<'a> Sub<u32> for &'a BigInt
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impl<'a> Sub<&'a i16> for BigInt
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impl<'a> Sub<i32> for &'a BigInt
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impl<'a> Sub<&'a isize> for BigInt
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impl<'a> Sub<&'a u16> for BigInt
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impl<'a, 'b> Sub<&'b u32> for &'a BigInt
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impl<'a> Sub<u16> for &'a BigInt
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impl Sub<u16> for BigInt
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impl<'a, 'b> Sub<&'b i8> for &'a BigInt
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impl<'a> Sub<isize> for &'a BigInt
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impl Sub<BigInt> for BigInt
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impl<'a> Sub<&'a u8> for BigInt
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impl<'a> Sub<&'a BigInt> for BigInt
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impl Sub<u64> for BigInt
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impl Sub<i16> for BigInt
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impl<'a> Sub<&'a u64> for BigInt
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impl<'a, 'b> Sub<&'b u8> for &'a BigInt
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impl<'a, 'b> Sub<&'b usize> for &'a BigInt
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impl<'a> Sub<i64> for &'a BigInt
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impl<'a, 'b> Sub<&'b i16> for &'a BigInt
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impl<'a> Sub<u64> for &'a BigInt
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impl<'a> Sub<BigInt> for &'a BigInt
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impl Sub<i32> for BigInt
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impl<'a> Sub<i16> for &'a BigInt
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impl<'a> Sub<&'a i64> for BigInt
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impl<'a> Sub<usize> for &'a BigInt
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impl<'a> Sub<u8> for &'a BigInt
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impl<'a, 'b> Sub<&'b i32> for &'a BigInt
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impl<'a> Sub<&'a i32> for BigInt
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impl Sub<u8> for BigInt
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impl<'a, 'b> Sub<&'b u64> for &'a BigInt
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impl Sub<i64> for BigInt
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impl<'a, 'b> Sub<&'b i64> for &'a BigInt
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impl<'a> Sub<&'a u32> for BigInt
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impl Sub<isize> for BigInt
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impl<'a> Sub<&'a usize> for BigInt
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impl Sub<usize> for BigInt
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impl<'a, 'b> Sub<&'b BigInt> for &'a BigInt
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impl Sub<u32> for BigInt
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impl Sub<i8> for BigInt
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impl<'a> Sub<&'a i8> for BigInt
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impl Neg for BigInt
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impl<'a> Neg for &'a BigInt
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impl PartialOrd<BigInt> for BigInt
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