#[repr(transparent)]
pub struct UBig(_);
Expand description

An unsigned arbitrary precision integer.

This struct represents an arbitrarily large unsigned integer. Technically the size of the integer is bounded by the memory size, but it’s enough for practical use on modern devices.

Parsing and printing

To create a UBig instance, there are three ways:

  1. Use predifined constants (e.g. UBig::ZERO, UBig::ONE).
  2. Use the literal macro ubig! defined in the dashu-macro crate.
  3. Parse from a string.

Parsing from either literal or string supports representation with base 2~36.

For printing, the UBig type supports common formatting traits (Display, Debug, LowerHex, etc.). Specially, printing huge number using Debug will conveniently omit the middle digits of the number, only print the least and most significant (decimal) digits.

// parsing
let a = UBig::from(408580953453092208335085386466371u128);
let b = UBig::from(0x1231abcd4134u64);
let c = UBig::from_str_radix("a2a123bbb127779cccc123", 32)?;
let d = UBig::from_str_radix("1231abcd4134", 16)?;
assert_eq!(a, c);
assert_eq!(b, d);

// printing
assert_eq!(format!("{}", UBig::from(12u8)), "12");
assert_eq!(format!("{:#X}", UBig::from(0xabcdu16)), "0xABCD");
if Word::BITS == 64 {
    // number of digits to display depends on the word size
    assert_eq!(
        format!("{:?}", UBig::ONE << 1000),
        "1071508607186267320..4386837205668069376"
    );
}

Memory

Integers that fit in a DoubleWord will be inlined on stack and no heap allocation will be invoked. For large integers, they will be represented as an array of Words, and stored on heap.

Note that the UBig struct has a niche bit, therefore it can be used within simple enums with no memory overhead.

use core::mem::size_of;
assert_eq!(size_of::<UBig>(), size_of::<Option<UBig>>());

Implementations

Returns true if the n-th bit is set, n starts from 0.

Examples
assert_eq!(UBig::from(0b10010u16).bit(1), true);
assert_eq!(UBig::from(0b10010u16).bit(3), false);
assert_eq!(UBig::from(0b10010u16).bit(100), false);

Set the n-th bit, n starts from 0.

Examples

let mut a = UBig::from(0b100u8);
a.set_bit(0);
assert_eq!(a, UBig::from(0b101u8));
a.set_bit(10);
assert_eq!(a, UBig::from(0b10000000101u16));

Clear the n-th bit, n starts from 0.

Examples
let mut a = UBig::from(0b101u8);
a.clear_bit(0);
assert_eq!(a, UBig::from(0b100u8));

Returns the number of trailing zeros in the binary representation.

In other words, it is the largest n such that 2 to the power of n divides the number.

For 0, it returns None.

Examples
assert_eq!(UBig::from(17u8).trailing_zeros(), Some(0));
assert_eq!(UBig::from(48u8).trailing_zeros(), Some(4));
assert_eq!(UBig::from(0b101000000u16).trailing_zeros(), Some(6));
assert_eq!(UBig::ZERO.trailing_zeros(), None);

Bit length.

The length of the binary representation of the number.

For 0, the length is 0.

For non-zero numbers it is:

  • in_radix(2).to_string().len()
  • the index of the top 1 bit plus one
  • the floor of the logarithm base 2 of the number plus one.
Examples
assert_eq!(UBig::from(17u8).bit_len(), 5);
assert_eq!(UBig::from(0b101000000u16).bit_len(), 9);
assert_eq!(UBig::ZERO.bit_len(), 0);
let x = UBig::from(0x90ffff3450897234u64);
assert_eq!(x.bit_len(), x.in_radix(2).to_string().len());

Split this integer into low bits and high bits.

Its returns are equal to (self & ((1 << n) - 1), self >> n).

Examples
let (lo, hi) = UBig::from(0b10100011u8).split_bits(4);
assert_eq!(hi, UBig::from(0b1010u8));
assert_eq!(lo, UBig::from(0b0011u8));

let x = UBig::from(0x90ffff3450897234u64);
let (lo, hi) = x.clone().split_bits(21);
assert_eq!(hi, (&x) >> 21);
assert_eq!(lo, x & ((UBig::ONE << 21) - 1u8));

Clear the high bits from (n+1)-th bit.

This operation is equivalent to getting the lowest n bits on the integer i.e. self &= ((1 << n) - 1).

Examples
let mut x = UBig::from(0b10100011u8);
x.clear_high_bits(4);
assert_eq!(x, UBig::from(0b0011u8));

let mut x = UBig::from(0x90ffff3450897234u64);
let lo = (&x) & ((UBig::ONE << 21) - 1u8);
x.clear_high_bits(21);
assert_eq!(x, lo);

Construct from little-endian bytes.

Examples
assert_eq!(UBig::from_le_bytes(&[3, 2, 1]), 0x010203);

Construct from big-endian bytes.

Examples
assert_eq!(UBig::from_be_bytes(&[1, 2, 3]), 0x010203);

Return little-endian bytes.

Examples
assert!(UBig::ZERO.to_le_bytes().is_empty());
assert_eq!(UBig::from(0x010203u32).to_le_bytes(), [3, 2, 1]);

Return big-endian bytes.

Examples
assert!(UBig::ZERO.to_be_bytes().is_empty());
assert_eq!(UBig::from(0x010203u32).to_be_bytes(), [1, 2, 3]);

Convert to f32.

Round to nearest, breaking ties to even last bit. The returned approximation is exact if the integer is exactly representable by f32, otherwise the error field of the approximation contains the sign of result - self.

Examples
assert_eq!(UBig::from(134u8).to_f32().value(), 134.0f32);

Convert to f64.

Round to nearest, breaking ties to even last bit. The returned approximation is exact if the integer is exactly representable by f64, otherwise the error field of the approximation contains the sign of result - self.

Examples
assert_eq!(UBig::from(134u8).to_f64().value(), 134.0f64);

Representation in a given radix.

Panics

Panics if radix is not between 2 and 36 inclusive.

Examples
assert_eq!(format!("{}", UBig::from(83u8).in_radix(3)), "10002");
assert_eq!(format!("{:+010}", UBig::from(35u8).in_radix(36)), "+00000000z");

Calculate the (truncated) logarithm of the UBig

This function could takes a long time when the integer is very large. In applications where an exact result is not necessary, log2_bounds could be used.

Panics

Panics if the number is 0, or the base is 0 or 1

Examples
let base = UBig::from(3u8);
assert_eq!(UBig::from(81u8).ilog(&base), 4);
assert_eq!(UBig::from(1000u16).ilog(&base), 6);

Calculate the square of the number (x * x).

Examples
assert_eq!(UBig::from(3u8).square(), 9);

Convert a string in a given base to UBig.

src may contain an optional + prefix. Digits 10-35 are represented by a-z or A-Z.

Examples
assert_eq!(UBig::from_str_radix("+7ab", 32)?, 7499);

Convert a string with an optional radix prefix to UBig, returns the parsed integer and radix.

src may contain an optional + after the radix prefix.

Allowed prefixes: 0b for binary, 0o for octal, 0x for hexadecimal.

Examples
assert_eq!(UBig::from_str_with_radix_prefix("+0o17")?, (UBig::from(0o17u8), 8));
assert_eq!(UBig::from_str_with_radix_prefix("0x1f")?.0, 0x1f);

Raises self to the power of exp.

Examples
assert_eq!(UBig::from(3u8).pow(3), 27);

Divide out all multiples of the factor from the integer, returns the exponent of the removed factor.

For self = 0 or factor = 0 or 1, this method returns None.

UBig with value 0

UBig with value 1

Get the raw representation in Words.

If the number is zero, then empty slice will be returned.

Examples
assert_eq!(UBig::ZERO.as_words(), &[] as &[Word]);
assert_eq!(UBig::ONE.as_words(), &[1]);

Create a UBig from a single Word.

Examples
const ZERO: UBig = UBig::from_word(0);
assert_eq!(ZERO, UBig::ZERO);
const ONE: UBig = UBig::from_word(1);
assert_eq!(ONE, UBig::ONE);

Create a UBig from a DoubleWord.

Examples
const ZERO: UBig = UBig::from_dword(0);
assert_eq!(ZERO, UBig::ZERO);
const ONE: UBig = UBig::from_dword(1);
assert_eq!(ONE, UBig::ONE);

Convert a sequence of Words into a UBig

Examples
assert_eq!(UBig::from_words(&[] as &[Word]), UBig::ZERO);
assert_eq!(UBig::from_words(&[1]), UBig::ONE);
assert_eq!(UBig::from_words(&[1, 1]), (UBig::ONE << Word::BITS as usize) + UBig::ONE);

Check whether the value is 0

Examples
assert!(UBig::ZERO.is_zero());
assert!(!UBig::ONE.is_zero());

Check whether the value is 1

Examples
assert!(!UBig::ZERO.is_one());
assert!(UBig::ONE.is_one());

Trait Implementations

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

The resulting type after applying the + operator.

Performs the + operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Performs the += operation. Read more

Formats the value using the given formatter.

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

The resulting type after applying the & operator.

Performs the & operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

Performs the &= operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

The resulting type after applying the | operator.

Performs the | operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

Performs the |= operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

The resulting type after applying the ^ operator.

Performs the ^ operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Performs the ^= operation. Read more

Returns a copy of the value. Read more

Performs copy-assignment from source. Read more

Formats the value using the given formatter. Read more

Default value: 0.

Deserialize this value from the given Serde deserializer. Read more

Formats the value using the given formatter. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

The resulting type after applying the / operator.

Performs the / operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Performs the /= operation. Read more

Estimate the bounds of the binary logarithm. Read more

Estimate the value of the binary logarithm. It’s calculated as the average of log2_bounds by default. Read more

Calculate the greatest common divisor between the two operands, returns the common divisor g and the Bézout coefficients respectively. Read more

Calculate the greatest common divisor between the two operands, returns the common divisor g and the Bézout coefficients respectively. Read more

Calculate the greatest common divisor between the two operands, returns the common divisor g and the Bézout coefficients respectively. Read more

Calculate the greatest common divisor between the two operands, returns the common divisor g and the Bézout coefficients respectively. Read more

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

The associated error which can be returned from parsing.

Parses a string s to return a value of this type. Read more

Compute the greatest common divisor between the two operands. Read more

Compute the greatest common divisor between the two operands. Read more

Compute the greatest common divisor between the two operands. Read more

Compute the greatest common divisor between the two operands. Read more

Feeds this value into the given Hasher. Read more

Feeds a slice of this type into the given Hasher. Read more

Formats the value using the given formatter.

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

The resulting type after applying the * operator.

Performs the * operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

Performs the *= operation. Read more

The resulting type after applying the - operator.

Performs the unary - operation. Read more

The resulting type after applying the - operator.

Performs the unary - operation. Read more

Convert from a string and radix (typically 2..=36). Read more

Formats the value using the given formatter.

Returns the multiplicative identity element of Self, 1. Read more

Returns true if self is equal to the multiplicative identity. Read more

Sets self to the multiplicative identity element of Self, 1.

This method returns an Ordering between self and other. Read more

Compares and returns the maximum of two values. Read more

Compares and returns the minimum of two values. Read more

Restrict a value to a certain interval. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method tests for self and other values to be equal, and is used by ==. Read more

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

This method returns an ordering between self and other values if one exists. Read more

This method tests less than (for self and other) and is used by the < operator. Read more

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more

This method tests greater than (for self and other) and is used by the > operator. Read more

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more

The result after applying the operator.

Returns self to the power rhs. Read more

The result after applying the operator.

Returns self to the power rhs. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

The resulting type after applying the % operator.

Performs the % operation. Read more

Performs the %= operation. Read more

Performs the %= operation. Read more

Performs the %= operation. Read more

Performs the %= operation. Read more

Performs the %= operation. Read more

Performs the %= operation. Read more

Performs the %= operation. Read more

The UniformSampler implementation supporting type X.

Serialize this value into the given Serde serializer. Read more

The resulting type after applying the << operator.

Performs the << operation. Read more

The resulting type after applying the << operator.

Performs the << operation. Read more

The resulting type after applying the << operator.

Performs the << operation. Read more

The resulting type after applying the << operator.

Performs the << operation. Read more

Performs the <<= operation. Read more

Performs the <<= operation. Read more

The resulting type after applying the >> operator.

Performs the >> operation. Read more

The resulting type after applying the >> operator.

Performs the >> operation. Read more

The resulting type after applying the >> operator.

Performs the >> operation. Read more

The resulting type after applying the >> operator.

Performs the >> operation. Read more

Performs the >>= operation. Read more

Performs the >>= operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

The resulting type after applying the - operator.

Performs the - operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

Performs the -= operation. Read more

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

Formats the value using the given formatter.

Returns the additive identity element of Self, 0. Read more

Returns true if self is equal to the additive identity.

Sets self to the additive identity element of Self, 0.

Auto Trait Implementations

Blanket Implementations

Gets the TypeId of self. Read more

Immutably borrows from an owned value. Read more

Mutably borrows from an owned value. Read more

Returns the argument unchanged.

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

Immutably borrows from an owned value. See Borrow::borrow Read more

The resulting type after obtaining ownership.

Creates owned data from borrowed data, usually by cloning. Read more

Uses borrowed data to replace owned data, usually by cloning. Read more

Converts the given value to a String. Read more

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.