Struct geo_aid::geometry::Complex

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

Represents a complex number located on a “unit” plane.

Fields

real: f64

X coordinate located in range [0, 1).

imaginary: f64

Y coordinate located in range [0, 1).

Implementations

impl Complex

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

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

pub const fn zero() -> Self

pub const fn one() -> Self

pub fn i() -> Self

pub fn mul_i(self) -> Complex

Optimized multiplication by the complex unit (i).

pub fn magnitude(self) -> f64

pub fn conjugate(self) -> Complex

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

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

pub fn arg(self) -> f64

pub fn normalize(self) -> Complex

pub fn len_squared(self) -> f64

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

pub fn sqrt(self) -> Complex

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 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

Method which 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

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl Copy for Complex