Struct Complex

pub struct Complex {
    pub real: f64,
    pub imaginary: f64,
}

Represents a complex number

Fields

real: f64

The real part

imaginary: f64

The imaginary part.

Implementations

impl Complex

pub const fn new(real: f64, imaginary: f64) -> Self

Create a new complex from its real and imaginary parts.

pub const fn real(real: f64) -> Self

Convert a real to a complex.

pub fn polar(theta: f64, radius: f64) -> Self

Create a new complex from its polar representation.

pub const fn zero() -> Self

Complex zero.

pub const fn one() -> Self

Complex one.

pub const fn i() -> Self

The imaginary unit.

pub fn mul_i(self) -> Complex

Optimized multiplication by the complex unit (i).

pub fn magnitude(self) -> f64

The magnitude of the complex, also called its modulus.

pub fn conjugate(self) -> Complex

The complex’s conjugate (a - bi)

pub fn partial_mul(self, other: Complex) -> Complex

Multiply the complex’s parts by other complex’s parts (ab + cdi)

pub fn partial_div(self, other: Complex) -> Complex

Divide the complex’s parts by other complex’s parts (a/b + (c/d)i)

pub fn arg(self) -> f64

Compute the complex’s argument

pub fn normalize(self) -> Complex

Normalize the complex by dividing it by its own magnitude.

pub fn len_squared(self) -> f64

Number-theoretical norm. Simply a^2 + b^2 with self = a + bi

pub fn sqrt(self) -> Complex

A square root. Chooses the one with non-negative imaginary part.

pub fn sqrt_norm(self) -> Complex

Same as sqrt, but returns a normalized result.

pub fn inverse(self) -> Self

Inverse of the number.

Trait Implementations

impl Add<f64> for Complex

type Output = Complex

The resulting type after applying the + operator.

fn add(self, rhs: f64) -> Self::Output

Performs the + operation.

impl Add for Complex

type Output = Complex

The resulting type after applying the + operator.

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

Performs the + operation.

impl AddAssign for Complex

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl Clone for Complex

fn clone(&self) -> Complex

Returns a copy 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() -> Self

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<f64> for Complex

type Output = Complex

The resulting type after applying the / operator.

fn div(self, rhs: f64) -> Self::Output

Performs the / operation.

impl Div for Complex

type Output = Complex

The resulting type after applying the / operator.

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

Performs the / operation.

impl From<Complex> for Complex

fn from(value: Complex) -> Self

Converts to this type from the input type.

impl From<Complex> for Position

fn from(value: Complex) -> Self

Converts to this type from the input type.

impl From<Position> for Complex

fn from(value: Position) -> Self

Converts to this type from the input type.

impl Mul<Complex> for f64

type Output = Complex

The resulting type after applying the * operator.

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

Performs the * operation.

impl Mul<f64> for Complex

type Output = Complex

The resulting type after applying the * operator.

fn mul(self, rhs: f64) -> Self::Output

Performs the * operation.

impl Mul for Complex

type Output = Complex

The resulting type after applying the * operator.

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

Performs the * operation.

impl MulAssign<f64> for Complex

fn mul_assign(&mut self, rhs: f64)

Performs the *= operation.

impl MulAssign for Complex

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl Neg for Complex

type Output = Complex

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl Product for Complex

fn product<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.

impl Serialize for Complex

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Sub<f64> for Complex

type Output = Complex

The resulting type after applying the - operator.

fn sub(self, rhs: f64) -> Self::Output

Performs the - operation.

impl Sub for Complex

type Output = Complex

The resulting type after applying the - operator.

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

Performs the - operation.

impl SubAssign for Complex

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl Sum for Complex

fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.

impl Copy for Complex