Trait RealScalar 

pub trait RealScalar:
    Clone
    + Copy
    + Sync
    + Send
    + Sized
    + Any
    + Debug
    + Display
    + Sum
    + Product
    + Float
    + FloatConst
    + FromPrimitive
    + ToPrimitive
    + AsPrimitive<f32>
    + AsPrimitive<f64>
    + NumAssign
    + NumAssignRef
    + Default
    + Signed
    + 'static
    + RealField
    + ConstOne
    + ConstZero
    + Memorable
    + BitWidthConvertible<Width32 = f32, Width64 = f64> {
    type C: ComplexScalar<R = Self>;

    // Required methods
    fn into_ratio(self) -> Option<Ratio<BigInt>>;
    fn from_ratio(ratio: Ratio<BigInt>) -> Option<Self>;
    fn standard_random() -> Self;
    fn uniform_random(min: Self, max: Self) -> Self;
    fn is_close(self, other: impl RealScalar) -> bool;
    fn is_close_with_tolerance(
        self,
        other: impl RealScalar,
        rtol: Self,
        atol: Self,
    ) -> bool;
}

A generic real number within the OpenQudit library.

Required Associated Types

type C: ComplexScalar<R = Self>

The complex number type associated with this real number.

Required Methods

fn into_ratio(self) -> Option<Ratio<BigInt>>

Convert this scalar to a rational number representation

fn from_ratio(ratio: Ratio<BigInt>) -> Option<Self>

Create a scalar from a rational number representation

fn standard_random() -> Self

Generate a random value from the standard normal distribution (mean=0, std=1)

fn uniform_random(min: Self, max: Self) -> Self

Generate a random value from a uniform distribution in the given range [min, max)

fn is_close(self, other: impl RealScalar) -> bool

Check if two values are close using default tolerances

fn is_close_with_tolerance( self, other: impl RealScalar, rtol: Self, atol: Self, ) -> bool

Check if two values are close with custom tolerances Uses the formula: abs(a - b) <= (atol + rtol * abs(b))

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementations on Foreign Types

impl RealScalar for f32

type C = Complex<f32>

fn into_ratio(self) -> Option<Ratio<BigInt>>

fn from_ratio(ratio: Ratio<BigInt>) -> Option<Self>

fn standard_random() -> Self

fn uniform_random(min: Self, max: Self) -> Self

fn is_close(self, other: impl RealScalar) -> bool

fn is_close_with_tolerance( self, other: impl RealScalar, rtol: Self, atol: Self, ) -> bool

impl RealScalar for f64

type C = Complex<f64>

fn into_ratio(self) -> Option<Ratio<BigInt>>

fn from_ratio(ratio: Ratio<BigInt>) -> Option<Self>

fn standard_random() -> Self

fn uniform_random(min: Self, max: Self) -> Self

fn is_close(self, other: impl RealScalar) -> bool

fn is_close_with_tolerance( self, other: impl RealScalar, rtol: Self, atol: Self, ) -> bool

Implementors