Struct Nat 

pub struct Nat(/* private fields */);

Implementations

impl Nat

pub fn zero() -> Nat

pub fn from_u64(v: u64) -> Nat

pub fn from_bigint(v: &BigInt) -> Nat

A non-negative integer as a natural number (a LOGOS Nat literal holds one).

pub fn to_bigint(&self) -> BigInt

pub fn parse_decimal(s: &str) -> Option<Nat>

pub fn to_decimal(&self) -> String

pub fn is_zero(&self) -> bool

pub fn to_u64(&self) -> Option<u64>

pub fn succ(&self) -> Nat

pub fn add(&self, o: &Nat) -> Nat

pub fn sub(&self, o: &Nat) -> Nat

Truncated subtraction.

pub fn mul(&self, o: &Nat) -> Nat

pub fn div(&self, o: &Nat) -> Nat

pub fn rem(&self, o: &Nat) -> Nat

pub fn gcd(&self, o: &Nat) -> Nat

pub fn pow(&self, exp: u32) -> Nat

self ^ exp; the caller bounds exp (Lean’s kernel reduces Nat.pow only for exponents up to 2²⁴).

pub fn land(&self, o: &Nat) -> Nat

pub fn lor(&self, o: &Nat) -> Nat

pub fn xor(&self, o: &Nat) -> Nat

pub fn shl(&self, bits: u64) -> Nat

pub fn shr(&self, bits: u64) -> Nat

pub fn bit_len(&self) -> u64

Trait Implementations

impl Clone for Nat

fn clone(&self) -> Nat

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Nat

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

Formats the value using the given formatter.

impl Hash for Nat

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl Ord for Nat

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

This method returns an Ordering between self and other.

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

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for Nat

fn eq(&self, other: &Nat) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for Nat

fn partial_cmp(&self, other: &Nat) -> Option<Ordering>

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

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

Tests less than (for self and other) and is used by the < operator.

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

Tests less than or equal to (for self and other) and is used by the <= operator.

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

Tests greater than (for self and other) and is used by the > operator.

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

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl Eq for Nat

impl StructuralPartialEq for Nat