Struct Rational 

pub struct Rational {
    pub numerator: i64,
    pub denominator: i64,
}

Exact rational number for arithmetic during Fourier-Motzkin elimination.

Rationals are automatically normalized to lowest terms with positive denominator. This ensures consistent comparison and canonical representation.

Invariants

• denominator > 0 (sign carried by numerator)
• gcd(|numerator|, denominator) = 1 (lowest terms)

Fields

numerator: i64

The numerator (may be negative).

denominator: i64

The denominator (always positive, never zero).

Implementations

impl Rational

pub fn new(n: i64, d: i64) -> Self

Create a new rational, automatically normalizing to lowest terms

pub fn zero() -> Self

The zero rational

pub fn from_int(n: i64) -> Self

Create a rational from an integer

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

Add two rationals

pub fn neg(&self) -> Rational

Negate a rational

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

Subtract two rationals

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

Multiply two rationals

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

Divide two rationals (returns None if dividing by zero)

pub fn is_negative(&self) -> bool

Check if negative

pub fn is_positive(&self) -> bool

Check if positive

pub fn is_zero(&self) -> bool

Check if zero

Trait Implementations

impl Clone for Rational

fn clone(&self) -> Rational

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Rational

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

Formats the value using the given formatter.

impl Hash for Rational

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 Rational

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

fn eq(&self, other: &Rational) -> 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 Rational

fn partial_cmp(&self, other: &Rational) -> 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 Rational

impl StructuralPartialEq for Rational