Enum rug::float::Round

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#[non_exhaustive]
pub enum Round { Nearest, Zero, Up, Down, AwayZero, }
Expand description

The rounding methods for floating-point values.

When rounding to the nearest, if the number to be rounded is exactly between two representable numbers, it is rounded to the even one, that is, the one with the least significant bit set to zero.

§Examples

use rug::float::Round;
use rug::ops::AssignRound;
use rug::Float;
let mut f4 = Float::new(4);
f4.assign_round(10.4, Round::Nearest);
assert_eq!(f4, 10);
f4.assign_round(10.6, Round::Nearest);
assert_eq!(f4, 11);
f4.assign_round(-10.7, Round::Zero);
assert_eq!(f4, -10);
f4.assign_round(10.3, Round::Up);
assert_eq!(f4, 11);

Rounding to the nearest will round numbers exactly between two representable numbers to the even one.

use rug::float::Round;
use rug::ops::AssignRound;
use rug::Float;
// 24 is 11000 in binary
// 25 is 11001 in binary
// 26 is 11010 in binary
// 27 is 11011 in binary
// 28 is 11100 in binary
let mut f4 = Float::new(4);
f4.assign_round(25, Round::Nearest);
assert_eq!(f4, 24);
f4.assign_round(27, Round::Nearest);
assert_eq!(f4, 28);

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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Nearest

Round towards the nearest, with ties rounding to even.

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Zero

Round towards zero.

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Up

Round towards plus infinity.

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Down

Round towards minus infinity.

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AwayZero

Round away from zero.

Implementations§

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impl Round

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pub fn reverse(self) -> Round

Reverses the rounding direction.

  • Up becomes Down.
  • Down becomes Up.
  • Other variants are not affected.
§Examples
use rug::float::Round;

assert_eq!(Round::Up.reverse(), Round::Down);
assert_eq!(Round::Down.reverse(), Round::Up);
assert_eq!(Round::Nearest.reverse(), Round::Nearest);

Trait Implementations§

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impl Clone for Round

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fn clone(&self) -> Round

Returns a copy 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 Debug for Round

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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 Default for Round

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fn default() -> Round

Returns the “default value” for a type. Read more
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impl Hash for Round

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl Ord for Round

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fn cmp(&self, other: &Round) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized + PartialOrd,

Restrict a value to a certain interval. Read more
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impl PartialEq for Round

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fn eq(&self, other: &Round) -> bool

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

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd for Round

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fn partial_cmp(&self, other: &Round) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl Copy for Round

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impl Eq for Round

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impl StructuralEq for Round

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impl StructuralPartialEq for Round

Auto Trait Implementations§

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impl RefUnwindSafe for Round

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impl Send for Round

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impl Sync for Round

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impl Unpin for Round

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impl UnwindSafe for Round

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> 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> 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.