Struct Phase 

pub struct Phase(/* private fields */);

A phase factor i^k where k ∈ {0, 1, 2, 3}.

Layout is #[repr(transparent)] u8, so Phase is zero-cost: a plain arithmetic byte at the ABI level. Construction via Phase::new reduces mod 4; the Add impl preserves that invariant.

Implementations

impl Phase

pub const ONE: Self

i^0 = 1.

pub const I: Self

i^1 = i.

pub const MINUS_ONE: Self

i^2 = -1.

pub const MINUS_I: Self

i^3 = -i.

pub const fn new(k: u8) -> Self

Construct from a raw exponent. Reduces mod 4, so Phase::new(5) == Phase::I.

pub const fn exponent(self) -> u8

The raw exponent in 0..=3.

pub fn to_complex(self) -> Complex64

i^k as a Complex64.

pub fn apply(self, c: Complex64) -> Complex64

Multiply c by i^k without going through to_complex. Each branch is a single sign/swap on the (re, im) parts — no FP multiply.

Trait Implementations

impl Add for Phase

type Output = Phase

The resulting type after applying the + operator.

fn add(self, other: Phase) -> Phase

Performs the + operation.

impl AddAssign for Phase

fn add_assign(&mut self, other: Phase)

Performs the += operation.

impl Clone for Phase

fn clone(&self) -> Phase

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Phase

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

Formats the value using the given formatter.

impl Default for Phase

fn default() -> Phase

Returns the “default value” for a type.

impl Hash for Phase

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 PartialEq for Phase

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

impl Eq for Phase

impl StructuralPartialEq for Phase