Trait cgmath::ApproxEq

pub trait ApproxEq {
    type Epsilon;
    fn default_epsilon() -> Self::Epsilon;
    fn default_max_relative() -> Self::Epsilon;
    fn default_max_ulps() -> u32;
    fn relative_eq(
        &self, 
        other: &Self, 
        epsilon: Self::Epsilon, 
        max_relative: Self::Epsilon
    ) -> bool;
    fn ulps_eq(
        &self, 
        other: &Self, 
        epsilon: Self::Epsilon, 
        max_ulps: u32
    ) -> bool;

    fn relative_ne(
        &self, 
        other: &Self, 
        epsilon: Self::Epsilon, 
        max_relative: Self::Epsilon
    ) -> bool { ... }
    fn ulps_ne(
        &self, 
        other: &Self, 
        epsilon: Self::Epsilon, 
        max_ulps: u32
    ) -> bool { ... }
}

Equality comparisons based on floating point tolerances.

Associated Types

type Epsilon

Used for specifying relative comparisons.

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Required methods

fn default_epsilon() -> Self::Epsilon

The default tolerance to use when testing values that are close together.

This is used when no epsilon value is supplied to the relative_eq or ulps_eq macros.

fn default_max_relative() -> Self::Epsilon

The default relative tolerance for testing values that are far-apart.

This is used when no max_relative value is supplied to the relative_eq macro.

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart.

This is used when no max_relative value is supplied to the relative_eq macro.

fn relative_eq(
    &self,
    other: &Self,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool

A test for equality that uses a relative comparison if the values are far apart.

fn ulps_eq(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

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Provided methods

fn relative_ne(
    &self,
    other: &Self,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool

The inverse of ApproxEq::relative_eq.

fn ulps_ne(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of ApproxEq::ulps_eq.

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Implementations on Foreign Types

impl ApproxEq for f32

type Epsilon = f32

fn default_epsilon() -> f32

fn default_max_relative() -> f32

fn default_max_ulps() -> u32

fn relative_eq(&self, other: &f32, epsilon: f32, max_relative: f32) -> bool

fn ulps_eq(&self, other: &f32, epsilon: f32, max_ulps: u32) -> bool

impl<'a, T> ApproxEq for &'a T where
    T: ApproxEq, 

type Epsilon = <T as ApproxEq>::Epsilon

fn default_epsilon() -> <&'a T as ApproxEq>::Epsilon

fn default_max_relative() -> <&'a T as ApproxEq>::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &&'a T,
    epsilon: <T as ApproxEq>::Epsilon,
    max_relative: <T as ApproxEq>::Epsilon
) -> bool

fn ulps_eq(
    &self,
    other: &&'a T,
    epsilon: <T as ApproxEq>::Epsilon,
    max_ulps: u32
) -> bool

impl<'a, T> ApproxEq for &'a mut T where
    T: ApproxEq, 

type Epsilon = <T as ApproxEq>::Epsilon

fn default_epsilon() -> <&'a mut T as ApproxEq>::Epsilon

fn default_max_relative() -> <&'a mut T as ApproxEq>::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &&'a mut T,
    epsilon: <T as ApproxEq>::Epsilon,
    max_relative: <T as ApproxEq>::Epsilon
) -> bool

fn ulps_eq(
    &self,
    other: &&'a mut T,
    epsilon: <T as ApproxEq>::Epsilon,
    max_ulps: u32
) -> bool

impl ApproxEq for f64

type Epsilon = f64

fn default_epsilon() -> f64

fn default_max_relative() -> f64

fn default_max_ulps() -> u32

fn relative_eq(&self, other: &f64, epsilon: f64, max_relative: f64) -> bool

fn ulps_eq(&self, other: &f64, epsilon: f64, max_ulps: u32) -> bool

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Implementors

impl<A: Angle> ApproxEq for Euler<A>

type Epsilon = A::Epsilon

fn default_epsilon() -> A::Epsilon

fn default_max_relative() -> A::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: A::Epsilon,
    max_relative: A::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: A::Epsilon, max_ulps: u32) -> bool

impl<S: VectorSpace, R, E: BaseFloat> ApproxEq for Decomposed<S, R> where
    S: ApproxEq<Epsilon = E>,
    S::Scalar: ApproxEq<Epsilon = E>,
    R: ApproxEq<Epsilon = E>, 

type Epsilon = E

fn default_epsilon() -> E

fn default_max_relative() -> E

fn default_max_ulps() -> u32

fn relative_eq(&self, other: &Self, epsilon: E, max_relative: E) -> bool

fn ulps_eq(&self, other: &Self, epsilon: E, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Basis2<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Basis3<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Deg<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Matrix2<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Matrix3<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Matrix4<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Point1<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Point2<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Point3<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Quaternion<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Rad<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Vector1<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Vector2<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Vector3<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

impl<S: BaseFloat> ApproxEq for Vector4<S>

type Epsilon = S::Epsilon

fn default_epsilon() -> S::Epsilon

fn default_max_relative() -> S::Epsilon

fn default_max_ulps() -> u32

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool

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