Struct Complex128 

#[repr(C)]
pub struct Complex128 {
    pub re: f64,
    pub im: f64,
}

128-bit complex number with f64 real and imaginary parts

Memory layout: Complex128 is f64 × 2, interleaved format. This matches the layout expected by CUDA double2.

Fields

re: f64

Real part

im: f64

Imaginary part

Implementations

impl Complex128

pub const ZERO: Self

Zero complex number

pub const ONE: Self

One (real unit)

pub const I: Self

Imaginary unit i

pub const fn new(re: f64, im: f64) -> Self

Create a new complex number

pub fn from_polar(r: f64, theta: f64) -> Self

Create a complex number from polar form: r * e^(iθ)

pub fn magnitude(self) -> f64

Magnitude (absolute value): |z| = sqrt(re² + im²)

pub fn magnitude_squared(self) -> f64

Squared magnitude: |z|² = re² + im²

More efficient than magnitude() when you only need the squared value.

pub fn phase(self) -> f64

Phase angle (argument): atan2(im, re)

Returns the angle in radians from the positive real axis.

pub fn conj(self) -> Self

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

pub fn recip(self) -> Self

Reciprocal: 1/z = conj(z)/|z|²

pub fn exp(self) -> Self

Complex exponential: e^z = e^re * (cos(im) + i*sin(im))

pub fn ln(self) -> Self

Natural logarithm: ln(z) = ln(|z|) + i*arg(z)

pub fn sqrt(self) -> Self

Square root using principal branch

Trait Implementations

impl Add for Complex128

type Output = Complex128

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign for Complex128

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl Clone for Complex128

fn clone(&self) -> Complex128

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Complex128

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

Formats the value using the given formatter.

impl Default for Complex128

fn default() -> Complex128

Returns the “default value” for a type.

impl Display for Complex128

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

Formats the value using the given formatter.

impl Div for Complex128

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

Complex division: (a+bi)/(c+di) = (a+bi)*conj(c+di)/|c+di|²

type Output = Complex128

The resulting type after applying the / operator.

impl Element for Complex128

fn to_f64(self) -> f64

Returns magnitude (|z|) - this is a lossy conversion. For the real part, use .re directly.

fn from_f64(v: f64) -> Self

Creates a real complex number (im = 0)

const DTYPE: DType = DType::Complex128

The corresponding DType for this Rust type

fn zero() -> Self

Zero value

fn one() -> Self

One value

fn to_f32(self) -> f32

Convert to f32

fn from_f32(v: f32) -> Self

Convert from f32 to this type

impl From<(f64, f64)> for Complex128

fn from((re, im): (f64, f64)) -> Self

Converts to this type from the input type.

impl From<Complex128> for Complex64

fn from(c: Complex128) -> Self

Converts to this type from the input type.

impl From<Complex64> for Complex128

fn from(c: Complex64) -> Self

Converts to this type from the input type.

impl From<f64> for Complex128

fn from(re: f64) -> Self

Converts to this type from the input type.

impl Mul for Complex128

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

Complex multiplication: (a+bi)(c+di) = (ac-bd) + (ad+bc)i

type Output = Complex128

The resulting type after applying the * operator.

impl MulAssign for Complex128

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl Neg for Complex128

type Output = Complex128

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl PartialEq for Complex128

fn eq(&self, other: &Complex128) -> 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 Complex128

fn partial_cmp(&self, other: &Self) -> Option<Ordering>

Complex numbers are not naturally ordered. This compares by magnitude for sorting purposes.

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 Sub for Complex128

type Output = Complex128

The resulting type after applying the - operator.

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

Performs the - operation.

impl SubAssign for Complex128

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl Zeroable for Complex128

fn zeroed() -> Self

Calls zeroed.

impl Copy for Complex128

impl Pod for Complex128

impl StructuralPartialEq for Complex128