Struct Complex 

pub struct Complex {
    pub re: f64,
    pub im: f64,
}

A complex number z = re + im·i.

Fields

re: f64

im: f64

Implementations

impl Complex

pub const ZERO: Self

pub const ONE: Self

pub const I: Self

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

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

pub fn from_vec2(v: Vec2) -> Self

pub fn to_vec2(self) -> Vec2

pub fn conj(self) -> Self

pub fn norm_sq(self) -> f64

pub fn norm(self) -> f64

pub fn arg(self) -> f64

pub fn abs(self) -> f64

pub fn is_zero(self) -> bool

pub fn normalize(self) -> Self

Normalize to unit circle. Returns zero if already zero.

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

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

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

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

pub fn scale(self, s: f64) -> Self

pub fn neg(self) -> Self

pub fn recip(self) -> Self

pub fn exp(self) -> Self

pub fn ln(self) -> Self

pub fn sqrt(self) -> Self

pub fn pow(self, w: Self) -> Self

z^w = exp(w * ln(z)) — principal branch.

pub fn powi(self, n: i32) -> Self

z^n for integer exponent (fast repeated squaring).

pub fn sin(self) -> Self

pub fn cos(self) -> Self

pub fn tan(self) -> Self

pub fn sinh(self) -> Self

pub fn cosh(self) -> Self

pub fn tanh(self) -> Self

pub fn asin(self) -> Self

pub fn acos(self) -> Self

pub fn atan(self) -> Self

pub fn mandelbrot_step(self, c: Self) -> Self

Mandelbrot iteration: z_{n+1} = z_n^2 + c. Returns z.

pub fn burning_ship_step(self, c: Self) -> Self

Burning ship step: z_{n+1} = (|re| + i|im|)^2 + c.

pub fn tricorn_step(self, c: Self) -> Self

Tricorn step: z_{n+1} = conj(z)^2 + c.

Trait Implementations

impl Add for Complex

type Output = Complex

The resulting type after applying the + operator.

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

Performs the + operation.

impl Clone for Complex

fn clone(&self) -> Complex

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Complex

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

Formats the value using the given formatter.

impl Default for Complex

fn default() -> Complex

Returns the “default value” for a type.

impl Display for Complex

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

Formats the value using the given formatter.

impl Div for Complex

type Output = Complex

The resulting type after applying the / operator.

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

Performs the / operation.

impl Mul for Complex

type Output = Complex

The resulting type after applying the * operator.

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

Performs the * operation.

impl Neg for Complex

type Output = Complex

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl PartialEq for Complex

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

type Output = Complex

The resulting type after applying the - operator.

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

Performs the - operation.

impl Copy for Complex

impl StructuralPartialEq for Complex