Struct IntExtGaussian 

pub struct IntExtGaussian {
    pub re: i64,
    pub im: i64,
}

Representation of a Gaussian integer a + b*i.

Fields

re: i64

Real part.

im: i64

Imaginary part.

Implementations

impl IntExtGaussian

pub fn new(re: i64, im: i64) -> Self

Create a new Gaussian integer.

pub fn zero() -> Self

The zero Gaussian integer.

pub fn one() -> Self

The unit Gaussian integer.

pub fn i_unit() -> Self

The imaginary unit i.

pub fn add(self, other: Self) -> Self

Add two Gaussian integers.

pub fn mul(self, other: Self) -> Self

Multiply two Gaussian integers.

pub fn conj(self) -> Self

The complex conjugate.

pub fn norm(self) -> i64

The norm: N(a+bi) = a^2 + b^2.

pub fn units() -> [Self; 4]

Returns the four units of the Gaussian integers.

pub fn is_unit(self) -> bool

Check if this is a unit (norm = 1).

pub fn divides(self, other: Self) -> bool

Check if this divides other in the Gaussian integers.

Trait Implementations

impl Clone for IntExtGaussian

fn clone(&self) -> IntExtGaussian

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for IntExtGaussian

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

Formats the value using the given formatter.

impl Display for IntExtGaussian

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

Formats the value using the given formatter.

impl PartialEq for IntExtGaussian

fn eq(&self, other: &IntExtGaussian) -> 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 Copy for IntExtGaussian

impl Eq for IntExtGaussian

impl StructuralPartialEq for IntExtGaussian