Trait ComplexField 

pub trait ComplexField:
    NumAssign
    + Clone
    + Copy
    + Send
    + Sync
    + Debug
    + Zero
    + One
    + Neg<Output = Self>
    + Lapack
    + 'static {
    // Required methods
    fn norm_sqr(&self) -> Self::Real;
    fn from_re_im(re: Self::Real, im: Self::Real) -> Self;
    fn re(&self) -> Self::Real;
    fn im(&self) -> Self::Real;
    fn inv(&self) -> Self;
    fn sqrt(&self) -> Self;

    // Provided methods
    fn norm(&self) -> Self::Real { ... }
    fn is_zero_approx(&self, tol: Self::Real) -> bool { ... }
}

Trait for scalar types that can be used in linear algebra operations.

This trait abstracts over real and complex number types, providing a unified interface for operations like conjugation, norm computation, and conversion from real values.

Implementations

Provided for:

• Complex64 (default for most acoustic applications)
• Complex32 (for memory-constrained applications)
• f64 (for real-valued problems)
• f32 (for real-valued, memory-constrained applications)

Required Methods

fn norm_sqr(&self) -> Self::Real

Squared magnitude |z|²

fn from_re_im(re: Self::Real, im: Self::Real) -> Self

Create from real and imaginary parts

fn re(&self) -> Self::Real

Real part

fn im(&self) -> Self::Real

Imaginary part

fn inv(&self) -> Self

Multiplicative inverse (1/z)

fn sqrt(&self) -> Self

Square root

Provided Methods

fn norm(&self) -> Self::Real

Magnitude |z|

fn is_zero_approx(&self, tol: Self::Real) -> bool

Check if this is approximately zero

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementations on Foreign Types

impl ComplexField for f32

fn norm_sqr(&self) -> f32

fn from_re_im(re: f32, _im: f32) -> Self

fn re(&self) -> f32

fn im(&self) -> f32

fn inv(&self) -> Self

fn sqrt(&self) -> Self

impl ComplexField for f64

fn norm_sqr(&self) -> f64

fn from_re_im(re: f64, _im: f64) -> Self

fn re(&self) -> f64

fn im(&self) -> f64

fn inv(&self) -> Self

fn sqrt(&self) -> Self

impl ComplexField for Complex32

fn norm_sqr(&self) -> f32

fn from_re_im(re: f32, im: f32) -> Self

fn re(&self) -> f32

fn im(&self) -> f32

fn inv(&self) -> Self

fn sqrt(&self) -> Self

impl ComplexField for Complex64

fn norm_sqr(&self) -> f64

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

fn re(&self) -> f64

fn im(&self) -> f64

fn inv(&self) -> Self

fn sqrt(&self) -> Self

Implementors