AllNumbers

Enum AllNumbers 

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#[non_exhaustive]
pub enum AllNumbers<N: Number> { Integer(AllIntegers), Rational(AllRationals), Any(N), }
Expand description

The family of any kind of number, also known as AllN.

§Notes

Note that it wont have several specific traits implemented, like for example Zero or NonZero, since they are mutually exclusive, and don’t apply to all cases.

The Numbers alias is more convenient to use unless you need to refer to custom numbers via the Any variant.

Variants (Non-exhaustive)§

This enum is marked as non-exhaustive
Non-exhaustive enums could have additional variants added in future. Therefore, when matching against variants of non-exhaustive enums, an extra wildcard arm must be added to account for any future variants.
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Integer(AllIntegers)

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Rational(AllRationals)

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Any(N)

Any other kind of number.

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impl<N: Number> Bound for AllNumbers<N>

This implementation defers to the actual number variant.

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fn is_lower_bounded(&self) -> bool

Returns true if the number is lower bounded.
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fn is_upper_bounded(&self) -> bool

Returns true if the number is upper bounded.
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fn lower_bound(&self) -> Option<Self>

Returns the lower bound, if any.
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fn upper_bound(&self) -> Option<Self>

Returns the upper bound, if any.
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impl<N: Clone + Number> Clone for AllNumbers<N>

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fn clone(&self) -> AllNumbers<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<N: Number> Count for AllNumbers<N>

This implementation defers to the actual number variant.

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fn is_countable(&self) -> bool

Returns true if the number is countable.
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fn is_uncountable(&self) -> bool

Returns false if the number is countable.
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impl<N: Debug + Number> Debug for AllNumbers<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<N: Number> From<AllIntegers> for AllNumbers<N>

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fn from(n: AllIntegers) -> AllNumbers<N>

Converts to this type from the input type.
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impl<N: Number> From<AllRationals> for AllNumbers<N>

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fn from(n: AllRationals) -> AllNumbers<N>

Converts to this type from the input type.
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impl<N: Number> Ident for AllNumbers<N>

This implementation defers to the actual number variant.

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fn can_zero(&self) -> bool

Returns true if the number can represent 0, the additive identity. Read more
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fn can_one(&self) -> bool

Returns true if the number can represent 1, the multiplicative identity. Read more
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fn can_neg_one(&self) -> bool

Returns true if the number can represent -1, the additive inverse of the multiplicative identity. Read more
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fn is_zero(&self) -> bool

Returns true if the current value is 0. the additive identity.
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fn is_one(&self) -> bool

Returns true if the current value is 1, the multiplicative identity.
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fn is_neg_one(&self) -> bool

Returns true if the current value is -1, the additive inverse of the multiplicative identity.
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impl<N: Number> Number for AllNumbers<N>

This implementation is no-op.

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fn from_inner_repr(value: Self) -> NumeraResult<Self>

Returns value unchanged.

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unsafe fn from_inner_repr_unchecked(value: AllNumbers<N>) -> Self

Available on crate feature not(safe) only.

Returns value unchanged.

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fn from_innermost_repr(value: Self) -> NumeraResult<Self>

Returns value unchanged.

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unsafe fn from_innermost_repr_unchecked(value: Self) -> Self

Available on crate feature not(safe) only.

Returns value unchanged.

§Safety

This is safe

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fn into_inner_repr(self) -> Self::InnerRepr

Returns self.

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fn into_innermost_repr(self) -> Self::InnermostRepr

Returns self.

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type InnerRepr = AllNumbers<N>

The inner primitive representation of the number. Read more
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type InnermostRepr = AllNumbers<N>

The innermost primitive representation of the number. Read more
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fn try_from_inner_repr(inner: impl Into<Self::InnerRepr>) -> NumeraResult<Self>
where Self: Sized,

Forms a new number from its converted given inner representation. Read more
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impl<N: PartialEq + Number> PartialEq for AllNumbers<N>

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fn eq(&self, other: &AllNumbers<N>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<N: Number> Sign for AllNumbers<N>

This implementation defers to the actual number variant.

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fn can_positive(&self) -> bool

Returns true if the type can represent positive numbers.
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fn can_negative(&self) -> bool

Returns true if the type can represent negative numbers.
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fn is_positive(&self) -> bool

Returns true if the value is positive (> 0).
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fn is_negative(&self) -> bool

Returns true if the value is negative (< 0).
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impl<N: Number> TryFrom<AllNumbers<N>> for AllIntegers

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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(n: AllNumbers<N>) -> Result<AllIntegers, Self::Error>

Performs the conversion.
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impl<N: Number> TryFrom<AllNumbers<N>> for AllRationals

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type Error = NumeraErrors

The type returned in the event of a conversion error.
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fn try_from(n: AllNumbers<N>) -> Result<AllRationals, Self::Error>

Performs the conversion.
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impl<N: Number> StructuralPartialEq for AllNumbers<N>

Auto Trait Implementations§

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impl<N> Freeze for AllNumbers<N>
where N: Freeze,

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impl<N> RefUnwindSafe for AllNumbers<N>
where N: RefUnwindSafe,

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impl<N> Send for AllNumbers<N>
where N: Send,

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impl<N> Sync for AllNumbers<N>
where N: Sync,

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impl<N> Unpin for AllNumbers<N>
where N: Unpin,

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impl<N> UnwindSafe for AllNumbers<N>
where N: UnwindSafe,

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impl<T> Also for T

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fn also_mut<F>(self, f: F) -> Self
where F: FnOnce(&mut Self),

Applies a function which takes the parameter by exclusive reference, and then returns the (possibly) modified owned value. Read more
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fn also_ref<F>(self, f: F) -> Self
where F: FnOnce(&Self),

Applies a function which takes the parameter by shared reference, and then returns the (possibly) modified owned value. Read more
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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, Res> Apply<Res> for T
where T: ?Sized,

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fn apply<F>(self, f: F) -> Res
where F: FnOnce(Self) -> Res, Self: Sized,

Apply a function which takes the parameter by value.
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fn apply_ref<F>(&self, f: F) -> Res
where F: FnOnce(&Self) -> Res,

Apply a function which takes the parameter by shared reference.
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fn apply_mut<F>(&mut self, f: F) -> Res
where F: FnOnce(&mut Self) -> Res,

Apply a function which takes the parameter by exclusive reference.
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impl<T> Az for T

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fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.
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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<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

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fn cast_from(src: Src) -> Dst

Casts the value.
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impl<T> CheckedAs for T

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fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.
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impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

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fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.
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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> OverflowingAs for T

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fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.
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impl<Src, Dst> OverflowingCastFrom<Src> for Dst
where Src: OverflowingCast<Dst>,

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fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.
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impl<T> SaturatingAs for T

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fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.
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impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

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fn saturating_cast_from(src: Src) -> Dst

Casts the value.
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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> UnwrappedAs for T

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fn unwrapped_as<Dst>(self) -> Dst
where T: UnwrappedCast<Dst>,

Casts the value.
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impl<Src, Dst> UnwrappedCastFrom<Src> for Dst
where Src: UnwrappedCast<Dst>,

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fn unwrapped_cast_from(src: Src) -> Dst

Casts the value.
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impl<T> WrappingAs for T

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fn wrapping_as<Dst>(self) -> Dst
where T: WrappingCast<Dst>,

Casts the value.
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impl<Src, Dst> WrappingCastFrom<Src> for Dst
where Src: WrappingCast<Dst>,

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fn wrapping_cast_from(src: Src) -> Dst

Casts the value.