[−][src]Trait cauchy::Scalar

pub trait Scalar: NumAssign + FromPrimitive + NumCast + Neg<Output = Self> + Copy + Clone + Display + Debug + LowerExp + UpperExp + Sum + Product + Serialize + for<'de> Deserialize<'de> + 'static {
type Real: Scalar<Real = Self::Real, Complex = Self::Complex> + NumOps<Self::Real, Self::Real> + Float;
type Complex: Scalar<Real = Self::Real, Complex = Self::Complex> + NumOps<Self::Real, Self::Complex> + NumOps<Self::Complex, Self::Complex>;
    fn real<T: ToPrimitive>(re: T) -> Self::Real;

    fn complex<T: ToPrimitive>(re: T, im: T) -> Self::Complex;

    fn from_real(re: Self::Real) -> Self;

    fn add_real(self, re: Self::Real) -> Self;

    fn sub_real(self, re: Self::Real) -> Self;

    fn mul_real(self, re: Self::Real) -> Self;

    fn div_real(self, re: Self::Real) -> Self;

    fn add_complex(self, im: Self::Complex) -> Self::Complex;

    fn sub_complex(self, im: Self::Complex) -> Self::Complex;

    fn mul_complex(self, im: Self::Complex) -> Self::Complex;

    fn div_complex(self, im: Self::Complex) -> Self::Complex;

    fn pow(&self, n: Self) -> Self;

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

    fn powf(&self, n: Self::Real) -> Self;

    fn powc(&self, n: Self::Complex) -> Self::Complex;

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

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

    fn as_c(&self) -> Self::Complex;

    fn conj(&self) -> Self;

    fn abs(&self) -> Self::Real;

    fn square(&self) -> Self::Real;

    fn sqrt(&self) -> Self;

    fn exp(&self) -> Self;

    fn ln(&self) -> Self;

    fn sin(&self) -> Self;

    fn cos(&self) -> Self;

    fn tan(&self) -> Self;

    fn asin(&self) -> Self;

    fn acos(&self) -> Self;

    fn atan(&self) -> Self;

    fn sinh(&self) -> Self;

    fn cosh(&self) -> Self;

    fn tanh(&self) -> Self;

    fn asinh(&self) -> Self;

    fn acosh(&self) -> Self;

    fn atanh(&self) -> Self;

    fn rand(rng: &mut impl Rng) -> Self;
}

Associated Types

type Real: Scalar<Real = Self::Real, Complex = Self::Complex> + NumOps<Self::Real, Self::Real> + Float

type Complex: Scalar<Real = Self::Real, Complex = Self::Complex> + NumOps<Self::Real, Self::Complex> + NumOps<Self::Complex, Self::Complex>

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Required methods

fn real<T: ToPrimitive>(re: T) -> Self::Real

Create a new real number

fn complex<T: ToPrimitive>(re: T, im: T) -> Self::Complex

Create a new complex number

fn from_real(re: Self::Real) -> Self

fn add_real(self, re: Self::Real) -> Self

fn sub_real(self, re: Self::Real) -> Self

fn mul_real(self, re: Self::Real) -> Self

fn div_real(self, re: Self::Real) -> Self

fn add_complex(self, im: Self::Complex) -> Self::Complex

fn sub_complex(self, im: Self::Complex) -> Self::Complex

fn mul_complex(self, im: Self::Complex) -> Self::Complex

fn div_complex(self, im: Self::Complex) -> Self::Complex

fn pow(&self, n: Self) -> Self

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

fn powf(&self, n: Self::Real) -> Self

fn powc(&self, n: Self::Complex) -> Self::Complex

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

Real part

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

Imaginary part

fn as_c(&self) -> Self::Complex

As a complex number

fn conj(&self) -> Self

Complex conjugate

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

Absolute value

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

Sqaure of absolute value

fn sqrt(&self) -> Self

fn exp(&self) -> Self

fn ln(&self) -> Self

fn sin(&self) -> Self

fn cos(&self) -> Self

fn tan(&self) -> Self

fn asin(&self) -> Self

fn acos(&self) -> Self

fn atan(&self) -> Self

fn sinh(&self) -> Self

fn cosh(&self) -> Self

fn tanh(&self) -> Self

fn asinh(&self) -> Self

fn acosh(&self) -> Self

fn atanh(&self) -> Self

fn rand(rng: &mut impl Rng) -> Self

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Implementations on Foreign Types

impl Scalar for f32[src]

type Real = f32

type Complex = c32

impl Scalar for f64[src]

type Real = f64

type Complex = c64

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Implementors

impl Scalar for c32[src]

type Real = f32

type Complex = c32

impl Scalar for c64[src]

type Real = f64

type Complex = c64

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