Struct Monomial 

pub struct Monomial { /* private fields */ }

A monomial is a product of variables with their powers.

Example: x^2 * y^3 is represented as {0: 2, 1: 3} The constant monomial (1) is represented as an empty map.

Uses BTreeMap for deterministic ordering (canonical form).

Implementations

impl Monomial

pub fn one() -> Self

The constant monomial (1)

pub fn var(index: i64) -> Self

A single variable: x_i^1

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

Multiply two monomials by adding their exponents.

For monomials m1 = x^a * y^b and m2 = x^c * z^d, the product is x^(a+c) * y^b * z^d.

Trait Implementations

impl Clone for Monomial

fn clone(&self) -> Monomial

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Monomial

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

Formats the value using the given formatter.

impl Hash for Monomial

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 Monomial

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

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

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

impl StructuralPartialEq for Monomial