Struct rocket::mtls::bigint::BigUint

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pub struct BigUint { /* private fields */ }

Available on crate feature mtls only.

Expand description

A big unsigned integer type.

Implementations§

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impl BigUint

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pub fn new(digits: Vec<u32>) -> BigUint

Creates and initializes a BigUint.

The base 2³² digits are ordered least significant digit first.

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pub fn from_slice(slice: &[u32]) -> BigUint

Creates and initializes a BigUint.

The base 2³² digits are ordered least significant digit first.

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pub fn assign_from_slice(&mut self, slice: &[u32])

Assign a value to a BigUint.

The base 2³² digits are ordered least significant digit first.

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pub fn from_bytes_be(bytes: &[u8]) -> BigUint

Creates and initializes a BigUint.

The bytes are in big-endian byte order.

§Examples

use num_bigint::BigUint;

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

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pub fn from_bytes_le(bytes: &[u8]) -> BigUint

Creates and initializes a BigUint.

use num_bigint::{BigUint};

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

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pub fn to_bytes_be(&self) -> Vec<u8> ⓘ

Returns the byte representation of the BigUint in big-endian byte order.

§Examples

use num_bigint::BigUint;

let i = BigUint::parse_bytes(b"1125", 10).unwrap();
assert_eq!(i.to_bytes_be(), vec![4, 101]);

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pub fn to_bytes_le(&self) -> Vec<u8> ⓘ

Returns the byte representation of the BigUint in little-endian byte order.

§Examples

use num_bigint::BigUint;

let i = BigUint::parse_bytes(b"1125", 10).unwrap();
assert_eq!(i.to_bytes_le(), vec![101, 4]);

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pub fn to_u32_digits(&self) -> Vec<u32>

Returns the u32 digits representation of the BigUint ordered least significant digit first.

§Examples

use num_bigint::BigUint;

assert_eq!(BigUint::from(1125u32).to_u32_digits(), vec![1125]);
assert_eq!(BigUint::from(4294967295u32).to_u32_digits(), vec![4294967295]);
assert_eq!(BigUint::from(4294967296u64).to_u32_digits(), vec![0, 1]);
assert_eq!(BigUint::from(112500000000u64).to_u32_digits(), vec![830850304, 26]);

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pub fn to_u64_digits(&self) -> Vec<u64>

Returns the u64 digits representation of the BigUint ordered least significant digit first.

§Examples

use num_bigint::BigUint;

assert_eq!(BigUint::from(1125u32).to_u64_digits(), vec![1125]);
assert_eq!(BigUint::from(4294967295u32).to_u64_digits(), vec![4294967295]);
assert_eq!(BigUint::from(4294967296u64).to_u64_digits(), vec![4294967296]);
assert_eq!(BigUint::from(112500000000u64).to_u64_digits(), vec![112500000000]);
assert_eq!(BigUint::from(1u128 << 64).to_u64_digits(), vec![0, 1]);

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pub fn iter_u32_digits(&self) -> U32Digits<'_> ⓘ

Returns an iterator of u32 digits representation of the BigUint ordered least significant digit first.

§Examples

use num_bigint::BigUint;

assert_eq!(BigUint::from(1125u32).iter_u32_digits().collect::<Vec<u32>>(), vec![1125]);
assert_eq!(BigUint::from(4294967295u32).iter_u32_digits().collect::<Vec<u32>>(), vec![4294967295]);
assert_eq!(BigUint::from(4294967296u64).iter_u32_digits().collect::<Vec<u32>>(), vec![0, 1]);
assert_eq!(BigUint::from(112500000000u64).iter_u32_digits().collect::<Vec<u32>>(), vec![830850304, 26]);

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pub fn iter_u64_digits(&self) -> U64Digits<'_> ⓘ

Returns an iterator of u64 digits representation of the BigUint ordered least significant digit first.

§Examples

use num_bigint::BigUint;

assert_eq!(BigUint::from(1125u32).iter_u64_digits().collect::<Vec<u64>>(), vec![1125]);
assert_eq!(BigUint::from(4294967295u32).iter_u64_digits().collect::<Vec<u64>>(), vec![4294967295]);
assert_eq!(BigUint::from(4294967296u64).iter_u64_digits().collect::<Vec<u64>>(), vec![4294967296]);
assert_eq!(BigUint::from(112500000000u64).iter_u64_digits().collect::<Vec<u64>>(), vec![112500000000]);
assert_eq!(BigUint::from(1u128 << 64).iter_u64_digits().collect::<Vec<u64>>(), vec![0, 1]);

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pub fn to_str_radix(&self, radix: u32) -> String

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

§Examples

use num_bigint::BigUint;

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

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pub fn to_radix_be(&self, radix: u32) -> Vec<u8> ⓘ

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::BigUint;

assert_eq!(BigUint::from(0xFFFFu64).to_radix_be(159),
           vec![2, 94, 27]);
// 0xFFFF = 65535 = 2*(159^2) + 94*159 + 27

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pub fn to_radix_le(&self, radix: u32) -> Vec<u8> ⓘ

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::BigUint;

assert_eq!(BigUint::from(0xFFFFu64).to_radix_le(159),
           vec![27, 94, 2]);
// 0xFFFF = 65535 = 27 + 94*159 + 2*(159^2)

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pub fn bits(&self) -> u64

Determines the fewest bits necessary to express the BigUint.

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pub fn pow(&self, exponent: u32) -> BigUint

Returns self ^ exponent.

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pub fn modpow(&self, exponent: &BigUint, modulus: &BigUint) -> BigUint

Returns (self ^ exponent) % modulus.

Sets or clears the bit in the given position

Note that setting a bit greater than the current bit length, a reallocation may be needed to store the new digits

Performs the &= operation. Read more

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Performs the |= operation. Read more

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type Bytes = [u8]

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fn from_be_bytes(bytes: &<BigUint as FromBytes>::Bytes) -> BigUint

Create a number from its representation as a byte array in big endian. Read more

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fn from_le_bytes(bytes: &<BigUint as FromBytes>::Bytes) -> BigUint

Create a number from its representation as a byte array in little endian. Read more

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fn from_ne_bytes(bytes: &Self::Bytes) -> Self

Create a number from its memory representation as a byte array in native endianness. Read more

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fn lcm(&self, other: &BigUint) -> BigUint

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

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fn gcd_lcm(&self, other: &BigUint) -> (BigUint, BigUint)

Calculates the Greatest Common Divisor (GCD) and Lowest Common Multiple (LCM) together.

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fn divides(&self, other: &BigUint) -> bool

👎Deprecated: Please use is_multiple_of instead

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fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

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impl One for BigUint

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fn one() -> BigUint

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

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fn set_one(&mut self)

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

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fn is_one(&self) -> bool

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

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impl Ord for BigUint

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fn cmp(&self, other: &BigUint) -> Ordering

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

1.21.0 · source§

fn max(self, other: Self) -> Self
where Self: Sized,

fn le(&self, other: &Rhs) -> bool

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fn to_be_bytes(&self) -> <BigUint as ToBytes>::Bytes

Return the memory representation of this number as a byte array in big-endian byte order. Read more

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fn to_le_bytes(&self) -> <BigUint as ToBytes>::Bytes

Return the memory representation of this number as a byte array in little-endian byte order. Read more

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fn to_ne_bytes(&self) -> Self::Bytes

Return the memory representation of this number as a byte array in native byte order. Read more

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impl UpperHex for BigUint

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fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

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impl Zero for BigUint

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fn zero() -> BigUint

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

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fn set_zero(&mut self)

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

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fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

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impl Eq for BigUint

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impl Unsigned for BigUint

Auto Trait Implementations§

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impl UnwindSafe for BigUint

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where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

Returns the floor value of the average of self and other.

Instruments this type with the current Span, returning an Instrumented wrapper. Read more

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where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

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where Self: Sized,

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pub fn new(digits: Vec<u32>) -> BigUint

pub fn from_slice(slice: &[u32]) -> BigUint

pub fn assign_from_slice(&mut self, slice: &[u32])

pub fn from_bytes_be(bytes: &[u8]) -> BigUint

§Examples

pub fn from_bytes_le(bytes: &[u8]) -> BigUint

pub fn parse_bytes(buf: &[u8], radix: u32) -> Option<BigUint>

§Examples

pub fn from_radix_be(buf: &[u8], radix: u32) -> Option<BigUint>

§Examples

pub fn from_radix_le(buf: &[u8], radix: u32) -> Option<BigUint>

§Examples

pub fn to_bytes_be(&self) -> Vec<u8> ⓘ

§Examples

pub fn to_bytes_le(&self) -> Vec<u8> ⓘ

§Examples

pub fn to_u32_digits(&self) -> Vec<u32>

§Examples

pub fn to_u64_digits(&self) -> Vec<u64>

§Examples

pub fn iter_u32_digits(&self) -> U32Digits<'_> ⓘ

§Examples

pub fn iter_u64_digits(&self) -> U64Digits<'_> ⓘ

§Examples

pub fn to_str_radix(&self, radix: u32) -> String

§Examples

pub fn to_radix_be(&self, radix: u32) -> Vec<u8> ⓘ

§Examples

pub fn to_radix_le(&self, radix: u32) -> Vec<u8> ⓘ

§Examples

pub fn bits(&self) -> u64

pub fn pow(&self, exponent: u32) -> BigUint

pub fn modpow(&self, exponent: &BigUint, modulus: &BigUint) -> BigUint

pub fn sqrt(&self) -> BigUint

pub fn cbrt(&self) -> BigUint

pub fn nth_root(&self, n: u32) -> BigUint

pub fn trailing_zeros(&self) -> Option<u64>

pub fn trailing_ones(&self) -> u64

pub fn count_ones(&self) -> u64

pub fn bit(&self, bit: u64) -> bool

pub fn set_bit(&mut self, bit: u64, value: bool)

Trait Implementations§

impl Add<&BigUint> for &BigUint

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for &u128

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for &u16

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for &u32

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for &u64

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for &u8

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for &usize

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for BigUint

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for u128

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for u16

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for u32

type Output = BigUint

fn add(self, other: &BigUint) -> BigUint

impl Add<&BigUint> for u64

type Output = BigUint

Struct rocket::mtls::bigint::BigUint