Trait rin::math::AbsDiffEq

pub trait AbsDiffEq<Rhs = Self>: PartialEq<Rhs> where
    Rhs: ?Sized, {
    type Epsilon;
    pub fn default_epsilon() -> Self::Epsilon;
    pub fn abs_diff_eq(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool;

    pub fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool { ... }
}

Equality that is defined using the absolute difference of two numbers.

Associated Types

type Epsilon

Used for specifying relative comparisons.

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Required methods

pub 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 [abs_diff_eq!], [relative_eq!], or [ulps_eq!] macros.

pub fn abs_diff_eq(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

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Provided methods

pub fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

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Implementations on Foreign Types

impl<'a, T> AbsDiffEq<&'a T> for &'a T where
    T: AbsDiffEq<T> + ?Sized, 

type Epsilon = <T as AbsDiffEq<T>>::Epsilon

pub fn default_epsilon() -> <T as AbsDiffEq<T>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &&'a T,
    epsilon: <T as AbsDiffEq<T>>::Epsilon
) -> bool

impl<T> AbsDiffEq<RefCell<T>> for RefCell<T> where
    T: AbsDiffEq<T> + ?Sized, 

type Epsilon = <T as AbsDiffEq<T>>::Epsilon

pub fn default_epsilon() -> <T as AbsDiffEq<T>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &RefCell<T>,
    epsilon: <T as AbsDiffEq<T>>::Epsilon
) -> bool

impl AbsDiffEq<i32> for i32

type Epsilon = i32

pub fn default_epsilon() -> i32

pub fn abs_diff_eq(&self, other: &i32, epsilon: i32) -> bool

impl<'a, T> AbsDiffEq<&'a mut T> for &'a mut T where
    T: AbsDiffEq<T> + ?Sized, 

type Epsilon = <T as AbsDiffEq<T>>::Epsilon

pub fn default_epsilon() -> <T as AbsDiffEq<T>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &&'a mut T,
    epsilon: <T as AbsDiffEq<T>>::Epsilon
) -> bool

impl AbsDiffEq<u32> for u32

type Epsilon = u32

pub fn default_epsilon() -> u32

pub fn abs_diff_eq(&self, other: &u32, epsilon: u32) -> bool

impl AbsDiffEq<isize> for isize

type Epsilon = isize

pub fn default_epsilon() -> isize

pub fn abs_diff_eq(&self, other: &isize, epsilon: isize) -> bool

impl AbsDiffEq<usize> for usize

type Epsilon = usize

pub fn default_epsilon() -> usize

pub fn abs_diff_eq(&self, other: &usize, epsilon: usize) -> bool

impl AbsDiffEq<f64> for f64

type Epsilon = f64

pub fn default_epsilon() -> f64

pub fn abs_diff_eq(&self, other: &f64, epsilon: f64) -> bool

impl<T> AbsDiffEq<Cell<T>> for Cell<T> where
    T: AbsDiffEq<T> + Copy, 

type Epsilon = <T as AbsDiffEq<T>>::Epsilon

pub fn default_epsilon() -> <T as AbsDiffEq<T>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Cell<T>,
    epsilon: <T as AbsDiffEq<T>>::Epsilon
) -> bool

impl AbsDiffEq<f32> for f32

type Epsilon = f32

pub fn default_epsilon() -> f32

pub fn abs_diff_eq(&self, other: &f32, epsilon: f32) -> bool

impl AbsDiffEq<i16> for i16

type Epsilon = i16

pub fn default_epsilon() -> i16

pub fn abs_diff_eq(&self, other: &i16, epsilon: i16) -> bool

impl<A, B> AbsDiffEq<[B]> for [A] where
    A: AbsDiffEq<B>,
    <A as AbsDiffEq<B>>::Epsilon: Clone, 

type Epsilon = <A as AbsDiffEq<B>>::Epsilon

pub fn default_epsilon() -> <A as AbsDiffEq<B>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &[B],
    epsilon: <A as AbsDiffEq<B>>::Epsilon
) -> bool

impl AbsDiffEq<u16> for u16

type Epsilon = u16

pub fn default_epsilon() -> u16

pub fn abs_diff_eq(&self, other: &u16, epsilon: u16) -> bool

impl AbsDiffEq<i8> for i8

type Epsilon = i8

pub fn default_epsilon() -> i8

pub fn abs_diff_eq(&self, other: &i8, epsilon: i8) -> bool

impl AbsDiffEq<i64> for i64

type Epsilon = i64

pub fn default_epsilon() -> i64

pub fn abs_diff_eq(&self, other: &i64, epsilon: i64) -> bool

impl AbsDiffEq<u64> for u64

type Epsilon = u64

pub fn default_epsilon() -> u64

pub fn abs_diff_eq(&self, other: &u64, epsilon: u64) -> bool

impl AbsDiffEq<u8> for u8

type Epsilon = u8

pub fn default_epsilon() -> u8

pub fn abs_diff_eq(&self, other: &u8, epsilon: u8) -> bool

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Implementors

impl<N> AbsDiffEq<Quaternion<N>> for Quaternion<N> where
    N: RealField<Epsilon = N> + AbsDiffEq<N>, 

type Epsilon = N

pub fn default_epsilon() -> <Quaternion<N> as AbsDiffEq<Quaternion<N>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Quaternion<N>,
    epsilon: <Quaternion<N> as AbsDiffEq<Quaternion<N>>>::Epsilon
) -> bool

impl<N> AbsDiffEq<Unit<Complex<N>>> for Unit<Complex<N>> where
    N: RealField, 

type Epsilon = N

pub fn default_epsilon(
) -> <Unit<Complex<N>> as AbsDiffEq<Unit<Complex<N>>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Unit<Complex<N>>,
    epsilon: <Unit<Complex<N>> as AbsDiffEq<Unit<Complex<N>>>>::Epsilon
) -> bool

impl<N> AbsDiffEq<Unit<Quaternion<N>>> for Unit<Quaternion<N>> where
    N: RealField<Epsilon = N> + AbsDiffEq<N>, 

type Epsilon = N

pub fn default_epsilon(
) -> <Unit<Quaternion<N>> as AbsDiffEq<Unit<Quaternion<N>>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Unit<Quaternion<N>>,
    epsilon: <Unit<Quaternion<N>> as AbsDiffEq<Unit<Quaternion<N>>>>::Epsilon
) -> bool

impl<N, D> AbsDiffEq<Point<N, D>> for Point<N, D> where
    N: Scalar + AbsDiffEq<N>,
    D: DimName,
    DefaultAllocator: Allocator<N, D, U1>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

pub fn default_epsilon() -> <Point<N, D> as AbsDiffEq<Point<N, D>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Point<N, D>,
    epsilon: <Point<N, D> as AbsDiffEq<Point<N, D>>>::Epsilon
) -> bool

impl<N, D> AbsDiffEq<Rotation<N, D>> for Rotation<N, D> where
    N: Scalar + AbsDiffEq<N>,
    D: DimName,
    DefaultAllocator: Allocator<N, D, D>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

pub fn default_epsilon(
) -> <Rotation<N, D> as AbsDiffEq<Rotation<N, D>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Rotation<N, D>,
    epsilon: <Rotation<N, D> as AbsDiffEq<Rotation<N, D>>>::Epsilon
) -> bool

impl<N, D> AbsDiffEq<Translation<N, D>> for Translation<N, D> where
    N: Scalar + AbsDiffEq<N>,
    D: DimName,
    DefaultAllocator: Allocator<N, D, U1>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

pub fn default_epsilon(
) -> <Translation<N, D> as AbsDiffEq<Translation<N, D>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Translation<N, D>,
    epsilon: <Translation<N, D> as AbsDiffEq<Translation<N, D>>>::Epsilon
) -> bool

impl<N, D, C> AbsDiffEq<Transform<N, D, C>> for Transform<N, D, C> where
    C: TCategory,
    N: RealField,
    D: DimNameAdd<U1>,
    <N as AbsDiffEq<N>>::Epsilon: Copy,
    DefaultAllocator: Allocator<N, <D as DimNameAdd<U1>>::Output, <D as DimNameAdd<U1>>::Output>, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

pub fn default_epsilon(
) -> <Transform<N, D, C> as AbsDiffEq<Transform<N, D, C>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Transform<N, D, C>,
    epsilon: <Transform<N, D, C> as AbsDiffEq<Transform<N, D, C>>>::Epsilon
) -> bool

impl<N, D, R> AbsDiffEq<Isometry<N, D, R>> for Isometry<N, D, R> where
    N: RealField,
    D: DimName,
    R: AbstractRotation<N, D> + AbsDiffEq<R, Epsilon = <N as AbsDiffEq<N>>::Epsilon>,
    DefaultAllocator: Allocator<N, D, U1>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

pub fn default_epsilon(
) -> <Isometry<N, D, R> as AbsDiffEq<Isometry<N, D, R>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Isometry<N, D, R>,
    epsilon: <Isometry<N, D, R> as AbsDiffEq<Isometry<N, D, R>>>::Epsilon
) -> bool

impl<N, D, R> AbsDiffEq<Similarity<N, D, R>> for Similarity<N, D, R> where
    N: RealField,
    D: DimName,
    R: AbstractRotation<N, D> + AbsDiffEq<R, Epsilon = <N as AbsDiffEq<N>>::Epsilon>,
    DefaultAllocator: Allocator<N, D, U1>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

pub fn default_epsilon(
) -> <Similarity<N, D, R> as AbsDiffEq<Similarity<N, D, R>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Similarity<N, D, R>,
    epsilon: <Similarity<N, D, R> as AbsDiffEq<Similarity<N, D, R>>>::Epsilon
) -> bool

impl<N, R, C, S> AbsDiffEq<Matrix<N, R, C, S>> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + AbsDiffEq<N>,
    R: Dim,
    S: Storage<N, R, C>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

pub fn default_epsilon(
) -> <Matrix<N, R, C, S> as AbsDiffEq<Matrix<N, R, C, S>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Matrix<N, R, C, S>,
    epsilon: <Matrix<N, R, C, S> as AbsDiffEq<Matrix<N, R, C, S>>>::Epsilon
) -> bool

impl<N, R, C, S> AbsDiffEq<Unit<Matrix<N, R, C, S>>> for Unit<Matrix<N, R, C, S>> where
    C: Dim,
    N: Scalar + AbsDiffEq<N>,
    R: Dim,
    S: Storage<N, R, C>,
    <N as AbsDiffEq<N>>::Epsilon: Copy, 

type Epsilon = <N as AbsDiffEq<N>>::Epsilon

pub fn default_epsilon(
) -> <Unit<Matrix<N, R, C, S>> as AbsDiffEq<Unit<Matrix<N, R, C, S>>>>::Epsilon

pub fn abs_diff_eq(
    &self,
    other: &Unit<Matrix<N, R, C, S>>,
    epsilon: <Unit<Matrix<N, R, C, S>> as AbsDiffEq<Unit<Matrix<N, R, C, S>>>>::Epsilon
) -> bool

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