Struct Rat 

pub struct Rat { /* private fields */ }

A rational number in lowest terms; the denominator is always positive and never zero.

Implementations

impl Rat

pub fn new(num: BigInt, den: BigInt) -> Option<Rat>

num / den, reduced. None when the denominator is zero: an infinite rational is not a rational, and the caller answers in floats.

pub fn from_int(v: BigInt) -> Rat

pub fn zero() -> Rat

pub fn one() -> Rat

pub fn numer(&self) -> &BigInt

pub fn denom(&self) -> &BigInt

pub fn is_zero(&self) -> bool

pub fn is_integer(&self) -> bool

pub fn to_int(&self) -> Option<BigInt>

The value as a whole number, when it is one.

pub fn to_f64(&self) -> f64

pub fn neg(&self) -> Rat

pub fn abs(&self) -> Rat

pub fn signum(&self) -> BigInt

-1, 0 or 1 as a whole number, which is the type J answers * with.

pub fn add(&self, other: &Rat) -> Rat

pub fn sub(&self, other: &Rat) -> Rat

pub fn mul(&self, other: &Rat) -> Rat

pub fn div(&self, other: &Rat) -> Option<Rat>

Division; None when the divisor is zero.

pub fn recip(&self) -> Option<Rat>

pub fn floor(&self) -> BigInt

The greatest integer at or below the value.

pub fn ceil(&self) -> BigInt

pub fn pow(&self, n: i64) -> Option<Rat>

self ^ n for a whole exponent. None when the value is zero and the exponent negative.

pub fn sqrt(&self) -> Option<Rat>

The exact square root, when both halves have one.

Trait Implementations

impl Clone for Rat

fn clone(&self) -> Rat

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Rat

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

Formats the value using the given formatter.

impl Display for Rat

The J spelling, with - where the language’s own negative sign goes: 3r4, and a whole value as the integer alone.

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

Formats the value using the given formatter.

impl Eq for Rat

impl Hash for Rat

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 Rat

fn cmp(&self, other: &Rat) -> 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 Rat

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

Equality operator ==.

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

Inequality operator !=.

impl PartialOrd for Rat

fn partial_cmp(&self, other: &Rat) -> 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 StructuralPartialEq for Rat