Rounding

Struct Rounding 

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pub(super) struct Rounding<const N: usize> {
    pub(super) value: f64,
    pub(super) derivative: [f64; N],
}
Expand description

First-order bounds on the absolute rounding errors of a jet’s value and of each of its derivatives, in units of epsilon.

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§value: f64§derivative: [f64; N]

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impl<const N: usize> Rounding<N>

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pub(super) const fn of(value: f64) -> Self

A bound on a value only, whose derivatives are exact.

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pub(super) fn times(self, exact: &Jet<N>) -> Self

The bounds of exact * inexact, where self bounds inexact. Bounds take the cheaper |Re| + |Im| for moduli, at most sqrt 2 larger.

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pub(super) fn relative(jet: &Jet<N>, factor: f64) -> Self

The moduli of a jet’s value and derivatives times factor: a bound for a jet computed with a relative error of factor ulps in each component.

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fn turned(self, phase: &Jet<N>) -> Self

The bounds of phase * inexact for a phase of modulus 1, where self bounds inexact: its value keeps its bound, which the derivatives of the phase carry into theirs.

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pub(super) fn max(self, other: Self) -> Self

The larger bound of each component.

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impl<const N: usize> AddAssign for Rounding<N>

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fn add_assign(&mut self, other: Self)

Performs the += operation. Read more
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impl<const N: usize> Clone for Rounding<N>

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fn clone(&self) -> Rounding<N>

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<const N: usize> Debug for Rounding<N>

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

Formats the value using the given formatter. Read more
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impl<const N: usize> Default for Rounding<N>

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fn default() -> Self

Returns the “default value” for a type. Read more
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impl<const N: usize> Copy for Rounding<N>

Auto Trait Implementations§

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impl<const N: usize> Freeze for Rounding<N>

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impl<const N: usize> RefUnwindSafe for Rounding<N>

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impl<const N: usize> Send for Rounding<N>

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impl<const N: usize> Sync for Rounding<N>

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impl<const N: usize> Unpin for Rounding<N>

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impl<const N: usize> UnwindSafe for Rounding<N>

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> ByRef<T> for T

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fn by_ref(&self) -> &T

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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> IntoEither for T

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> Same for T

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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<T, U> Imply<T> for U
where T: ?Sized, U: ?Sized,