Struct ArbitraryComplex 

pub struct ArbitraryComplex { /* private fields */ }

Arbitrary precision complex number backed by oxinum_complex::CBig (Pure Rust).

CBig is a decimal arbitrary-precision complex number whose real and imaginary parts are each a DBig. This struct provides the same public API as the former rug::Complex-backed implementation while being fully GMP/MPFR/MPC-free.

Implementations

impl ArbitraryComplex

pub fn new() -> Self

Create a new complex number with default precision.

pub fn prec(prec: u32) -> CoreResult<Self>

Create with specific bit precision.

pub fn re(re: &ArbitraryFloat, im: &ArbitraryFloat) -> Self

Create from real and imaginary ArbitraryFloat parts.

pub fn re_2(re: f64, im: f64) -> Self

Create from f64 real and imaginary parts.

pub fn real(&self) -> ArbitraryFloat

Get the real part as an ArbitraryFloat.

pub fn imag(&self) -> ArbitraryFloat

Get the imaginary part as an ArbitraryFloat.

pub fn abs(&self) -> ArbitraryFloat

Get the magnitude (absolute value) as an ArbitraryFloat.

pub fn arg(&self) -> ArbitraryFloat

Get the phase (argument) as an ArbitraryFloat.

pub fn conj(&self) -> Self

Complex conjugate.

pub fn ln(&self) -> Self

Natural logarithm.

Returns the principal value ln|z| + i·arg(z). If z is zero (ln undefined), returns a zero complex.

pub fn exp(&self) -> Self

Exponential function.

pub fn pow(&self, exp: &Self) -> Self

Power function: self ^ exponent.

Computed as exp(exponent * ln(self)).

pub fn sqrt(&self) -> Self

Square root.

Trait Implementations

impl Add for ArbitraryComplex

type Output = ArbitraryComplex

The resulting type after applying the + operator.

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

Performs the + operation.

impl Clone for ArbitraryComplex

fn clone(&self) -> ArbitraryComplex

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for ArbitraryComplex

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

Formats the value using the given formatter.

impl Default for ArbitraryComplex

fn default() -> Self

Returns the “default value” for a type.

impl Display for ArbitraryComplex

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

Formats the value using the given formatter.

impl Div for ArbitraryComplex

type Output = ArbitraryComplex

The resulting type after applying the / operator.

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

Performs the / operation.

impl Mul for ArbitraryComplex

type Output = ArbitraryComplex

The resulting type after applying the * operator.

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

Performs the * operation.

impl Neg for ArbitraryComplex

type Output = ArbitraryComplex

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl PartialEq for ArbitraryComplex

fn eq(&self, other: &Self) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl Sub for ArbitraryComplex

type Output = ArbitraryComplex

The resulting type after applying the - operator.

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

Performs the - operation.