Struct Complex32 

pub struct Complex32 {
    pub re: f32,
    pub im: f32,
}

Complex number using f32 precision (8 bytes vs 16 bytes for f64).

This is the building block for QuantumStateF32. Each amplitude occupies half the memory of the standard Complex (f64) type, doubling the number of amplitudes that fit in a given memory budget and thus enabling roughly one additional qubit of simulation capacity.

Fields

re: f32

Real component.

im: f32

Imaginary component.

Implementations

impl Complex32

pub const ZERO: Self

The additive identity, 0 + 0i.

pub const ONE: Self

The multiplicative identity, 1 + 0i.

pub const I: Self

The imaginary unit, 0 + 1i.

pub fn new(re: f32, im: f32) -> Self

Create a new complex number from real and imaginary parts.

pub fn norm_sq(&self) -> f32

Squared magnitude: |z|^2 = re^2 + im^2.

pub fn norm(&self) -> f32

Magnitude: |z|.

pub fn conj(&self) -> Self

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

pub fn from_f64(c: &Complex) -> Self

Convert from an f64 Complex by narrowing each component to f32.

pub fn to_f64(&self) -> Complex

Convert to an f64 Complex by widening each component to f64.

Trait Implementations

impl Add for Complex32

type Output = Complex32

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign for Complex32

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl Clone for Complex32

fn clone(&self) -> Complex32

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Complex32

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

Formats the value using the given formatter.

impl Display for Complex32

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

Formats the value using the given formatter.

impl Mul<f32> for Complex32

type Output = Complex32

The resulting type after applying the * operator.

fn mul(self, rhs: f32) -> Self

Performs the * operation.

impl Mul for Complex32

type Output = Complex32

The resulting type after applying the * operator.

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

Performs the * operation.

impl Neg for Complex32

type Output = Complex32

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl PartialEq for Complex32

fn eq(&self, other: &Complex32) -> 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 Complex32

type Output = Complex32

The resulting type after applying the - operator.

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

Performs the - operation.

impl Copy for Complex32

impl StructuralPartialEq for Complex32