Struct GaussianInt 

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

A Gaussian integer a + bi where a, b are in Z.

Fields

re: i64

im: i64

Implementations

impl GaussianInt

pub const ZERO: Self

pub const ONE: Self

pub const I: Self

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

pub fn norm(self) -> i64

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

pub fn conj(self) -> Self

Complex conjugate: conj(a+bi) = a - bi.

pub fn is_zero(self) -> bool

Whether this is the zero element.

pub fn is_unit(self) -> bool

Whether this is a unit (norm = 1): {1, -1, i, -i}.

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

Gaussian integer division (rounded): returns (quotient, remainder).

Trait Implementations

impl Add for GaussianInt

type Output = GaussianInt

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self

Performs the + operation.

impl Clone for GaussianInt

fn clone(&self) -> GaussianInt

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for GaussianInt

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

Formats the value using the given formatter.

impl Display for GaussianInt

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

Formats the value using the given formatter.

impl Hash for GaussianInt

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 Mul for GaussianInt

type Output = GaussianInt

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self

Performs the * operation.

impl Neg for GaussianInt

type Output = GaussianInt

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl PartialEq for GaussianInt

fn eq(&self, other: &GaussianInt) -> 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 Sub for GaussianInt

type Output = GaussianInt

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self

Performs the - operation.

impl Copy for GaussianInt

impl Eq for GaussianInt

impl StructuralPartialEq for GaussianInt