ordered_float

Struct OrderedFloat

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#[repr(transparent)]
pub struct OrderedFloat<T>(pub T);
Expand description

A wrapper around floats providing implementations of Eq, Ord, and Hash.

NaN is sorted as greater than all other values and equal to itself, in contradiction with the IEEE standard.

use ordered_float::OrderedFloat;
use std::f32::NAN;

let mut v = [OrderedFloat(NAN), OrderedFloat(2.0), OrderedFloat(1.0)];
v.sort();
assert_eq!(v, [OrderedFloat(1.0), OrderedFloat(2.0), OrderedFloat(NAN)]);

Because OrderedFloat implements Ord and Eq, it can be used as a key in a HashSet, HashMap, BTreeMap, or BTreeSet (unlike the primitive f32 or f64 types):

let mut s: HashSet<OrderedFloat<f32>> = HashSet::new();
s.insert(OrderedFloat(NAN));
assert!(s.contains(&OrderedFloat(NAN)));

Some non-identical values are still considered equal by the PartialEq implementation, and will therefore also be considered equal by maps, sets, and the == operator:

  • -0.0 and +0.0 are considered equal. This different sign may show up in printing, or when dividing by zero (the sign of the zero becomes the sign of the resulting infinity).
  • All NaN values are considered equal, even though they may have different bits, and therefore different sign, signaling/quiet status, and NaN payload bits.

Therefore, OrderedFloat may be unsuitable for use as a key in interning and memoization applications which require equal results from equal inputs, unless these cases make no difference or are canonicalized before insertion.

§Representation

OrderedFloat has #[repr(transparent)] and permits any value, so it is sound to use transmute or pointer casts to convert between any type T and OrderedFloat<T>. However, consider using bytemuck as a safe alternative if possible.

Tuple Fields§

§0: T

Implementations§

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impl<T: FloatCore> OrderedFloat<T>

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pub fn into_inner(self) -> T

Get the value out.

Trait Implementations§

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impl<'a, T> Add<&'a OrderedFloat<T>> for OrderedFloat<T>
where T: Add<&'a T>,

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type Output = OrderedFloat<<T as Add<&'a T>>::Output>

The resulting type after applying the + operator.
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fn add(self, other: &'a Self) -> Self::Output

Performs the + operation. Read more
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impl<'a, T> Add<&'a T> for &'a OrderedFloat<T>
where &'a T: Add,

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type Output = OrderedFloat<<&'a T as Add>::Output>

The resulting type after applying the + operator.
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fn add(self, other: &'a T) -> Self::Output

Performs the + operation. Read more
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impl<'a, T> Add<&'a T> for OrderedFloat<T>
where T: Add<&'a T>,

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type Output = OrderedFloat<<T as Add<&'a T>>::Output>

The resulting type after applying the + operator.
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fn add(self, other: &'a T) -> Self::Output

Performs the + operation. Read more
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impl<'a, T> Add<OrderedFloat<T>> for &'a OrderedFloat<T>
where &'a T: Add<T>,

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type Output = OrderedFloat<<&'a T as Add<T>>::Output>

The resulting type after applying the + operator.
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fn add(self, other: OrderedFloat<T>) -> Self::Output

Performs the + operation. Read more
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impl<'a, T> Add<T> for &'a OrderedFloat<T>
where &'a T: Add<T>,

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type Output = OrderedFloat<<&'a T as Add<T>>::Output>

The resulting type after applying the + operator.
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fn add(self, other: T) -> Self::Output

Performs the + operation. Read more
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impl<T: Add> Add<T> for OrderedFloat<T>

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type Output = OrderedFloat<<T as Add>::Output>

The resulting type after applying the + operator.
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fn add(self, other: T) -> Self::Output

Performs the + operation. Read more
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impl<'a, T: Add + Copy> Add for &'a OrderedFloat<T>

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type Output = OrderedFloat<<T as Add>::Output>

The resulting type after applying the + operator.
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fn add(self, other: Self) -> Self::Output

Performs the + operation. Read more
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impl<T: Add> Add for OrderedFloat<T>

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type Output = OrderedFloat<<T as Add>::Output>

The resulting type after applying the + operator.
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fn add(self, other: Self) -> Self::Output

Performs the + operation. Read more
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impl<'a, T: AddAssign<&'a T>> AddAssign<&'a OrderedFloat<T>> for OrderedFloat<T>

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fn add_assign(&mut self, other: &'a Self)

Performs the += operation. Read more
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impl<'a, T: AddAssign<&'a T>> AddAssign<&'a T> for OrderedFloat<T>

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fn add_assign(&mut self, other: &'a T)

Performs the += operation. Read more
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impl<T: AddAssign> AddAssign<T> for OrderedFloat<T>

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fn add_assign(&mut self, other: T)

Performs the += operation. Read more
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impl<T: AddAssign> AddAssign for OrderedFloat<T>

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fn add_assign(&mut self, other: Self)

Performs the += operation. Read more
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impl<T: FloatCore> AsMut<T> for OrderedFloat<T>

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

Converts this type into a mutable reference of the (usually inferred) input type.
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impl AsPrimitive<OrderedFloat<f32>> for OrderedFloat<f32>

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for OrderedFloat<f64>

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for f32

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for f64

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for i16

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for i32

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for i64

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for i8

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for isize

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for u16

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for u32

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for u64

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for u8

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f32>> for usize

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fn as_(self) -> OrderedFloat<f32>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for OrderedFloat<f32>

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for OrderedFloat<f64>

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for f32

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for f64

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for i16

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for i32

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for i64

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for i8

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for isize

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for u16

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for u32

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for u64

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for u8

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<OrderedFloat<f64>> for usize

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fn as_(self) -> OrderedFloat<f64>

Convert a value to another, using the as operator.
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impl AsPrimitive<f32> for OrderedFloat<f32>

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fn as_(self) -> f32

Convert a value to another, using the as operator.
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impl AsPrimitive<f32> for OrderedFloat<f64>

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fn as_(self) -> f32

Convert a value to another, using the as operator.
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impl AsPrimitive<f64> for OrderedFloat<f32>

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fn as_(self) -> f64

Convert a value to another, using the as operator.
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impl AsPrimitive<f64> for OrderedFloat<f64>

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fn as_(self) -> f64

Convert a value to another, using the as operator.
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impl AsPrimitive<i16> for OrderedFloat<f32>

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fn as_(self) -> i16

Convert a value to another, using the as operator.
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impl AsPrimitive<i16> for OrderedFloat<f64>

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fn as_(self) -> i16

Convert a value to another, using the as operator.
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impl AsPrimitive<i32> for OrderedFloat<f32>

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fn as_(self) -> i32

Convert a value to another, using the as operator.
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impl AsPrimitive<i32> for OrderedFloat<f64>

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fn as_(self) -> i32

Convert a value to another, using the as operator.
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impl AsPrimitive<i64> for OrderedFloat<f32>

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fn as_(self) -> i64

Convert a value to another, using the as operator.
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impl AsPrimitive<i64> for OrderedFloat<f64>

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fn as_(self) -> i64

Convert a value to another, using the as operator.
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impl AsPrimitive<i8> for OrderedFloat<f32>

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fn as_(self) -> i8

Convert a value to another, using the as operator.
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impl AsPrimitive<i8> for OrderedFloat<f64>

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fn as_(self) -> i8

Convert a value to another, using the as operator.
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impl AsPrimitive<isize> for OrderedFloat<f32>

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fn as_(self) -> isize

Convert a value to another, using the as operator.
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impl AsPrimitive<isize> for OrderedFloat<f64>

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fn as_(self) -> isize

Convert a value to another, using the as operator.
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impl AsPrimitive<u16> for OrderedFloat<f32>

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fn as_(self) -> u16

Convert a value to another, using the as operator.
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impl AsPrimitive<u16> for OrderedFloat<f64>

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fn as_(self) -> u16

Convert a value to another, using the as operator.
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impl AsPrimitive<u32> for OrderedFloat<f32>

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fn as_(self) -> u32

Convert a value to another, using the as operator.
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impl AsPrimitive<u32> for OrderedFloat<f64>

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fn as_(self) -> u32

Convert a value to another, using the as operator.
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impl AsPrimitive<u64> for OrderedFloat<f32>

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fn as_(self) -> u64

Convert a value to another, using the as operator.
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impl AsPrimitive<u64> for OrderedFloat<f64>

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fn as_(self) -> u64

Convert a value to another, using the as operator.
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impl AsPrimitive<u8> for OrderedFloat<f32>

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fn as_(self) -> u8

Convert a value to another, using the as operator.
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impl AsPrimitive<u8> for OrderedFloat<f64>

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fn as_(self) -> u8

Convert a value to another, using the as operator.
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impl AsPrimitive<usize> for OrderedFloat<f32>

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fn as_(self) -> usize

Convert a value to another, using the as operator.
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impl AsPrimitive<usize> for OrderedFloat<f64>

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fn as_(self) -> usize

Convert a value to another, using the as operator.
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impl<T: FloatCore> AsRef<T> for OrderedFloat<T>

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fn as_ref(&self) -> &T

Converts this type into a shared reference of the (usually inferred) input type.
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impl<T: Bounded> Bounded for OrderedFloat<T>

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fn min_value() -> Self

Returns the smallest finite number this type can represent
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fn max_value() -> Self

Returns the largest finite number this type can represent
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impl<T: Clone> Clone for OrderedFloat<T>

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fn clone(&self) -> OrderedFloat<T>

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<T: Debug> Debug for OrderedFloat<T>

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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<T: Default> Default for OrderedFloat<T>

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fn default() -> OrderedFloat<T>

Returns the “default value” for a type. Read more
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impl<T: FloatCore> Deref for OrderedFloat<T>

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type Target = T

The resulting type after dereferencing.
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fn deref(&self) -> &Self::Target

Dereferences the value.
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impl<T: FloatCore> DerefMut for OrderedFloat<T>

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fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.
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impl<T: FloatCore + Display> Display for OrderedFloat<T>

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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<'a, T> Div<&'a OrderedFloat<T>> for OrderedFloat<T>
where T: Div<&'a T>,

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type Output = OrderedFloat<<T as Div<&'a T>>::Output>

The resulting type after applying the / operator.
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fn div(self, other: &'a Self) -> Self::Output

Performs the / operation. Read more
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impl<'a, T> Div<&'a T> for &'a OrderedFloat<T>
where &'a T: Div,

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type Output = OrderedFloat<<&'a T as Div>::Output>

The resulting type after applying the / operator.
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fn div(self, other: &'a T) -> Self::Output

Performs the / operation. Read more
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impl<'a, T> Div<&'a T> for OrderedFloat<T>
where T: Div<&'a T>,

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type Output = OrderedFloat<<T as Div<&'a T>>::Output>

The resulting type after applying the / operator.
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fn div(self, other: &'a T) -> Self::Output

Performs the / operation. Read more
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impl<'a, T> Div<OrderedFloat<T>> for &'a OrderedFloat<T>
where &'a T: Div<T>,

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type Output = OrderedFloat<<&'a T as Div<T>>::Output>

The resulting type after applying the / operator.
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fn div(self, other: OrderedFloat<T>) -> Self::Output

Performs the / operation. Read more
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impl<'a, T> Div<T> for &'a OrderedFloat<T>
where &'a T: Div<T>,

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type Output = OrderedFloat<<&'a T as Div<T>>::Output>

The resulting type after applying the / operator.
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fn div(self, other: T) -> Self::Output

Performs the / operation. Read more
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impl<T: Div> Div<T> for OrderedFloat<T>

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type Output = OrderedFloat<<T as Div>::Output>

The resulting type after applying the / operator.
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fn div(self, other: T) -> Self::Output

Performs the / operation. Read more
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impl<'a, T: Div + Copy> Div for &'a OrderedFloat<T>

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type Output = OrderedFloat<<T as Div>::Output>

The resulting type after applying the / operator.
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fn div(self, other: Self) -> Self::Output

Performs the / operation. Read more
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impl<T: Div> Div for OrderedFloat<T>

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type Output = OrderedFloat<<T as Div>::Output>

The resulting type after applying the / operator.
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fn div(self, other: Self) -> Self::Output

Performs the / operation. Read more
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impl<'a, T: DivAssign<&'a T>> DivAssign<&'a OrderedFloat<T>> for OrderedFloat<T>

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fn div_assign(&mut self, other: &'a Self)

Performs the /= operation. Read more
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impl<'a, T: DivAssign<&'a T>> DivAssign<&'a T> for OrderedFloat<T>

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fn div_assign(&mut self, other: &'a T)

Performs the /= operation. Read more
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impl<T: DivAssign> DivAssign<T> for OrderedFloat<T>

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fn div_assign(&mut self, other: T)

Performs the /= operation. Read more
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impl<T: DivAssign> DivAssign for OrderedFloat<T>

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fn div_assign(&mut self, other: Self)

Performs the /= operation. Read more
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impl<T: Float + FloatCore> Float for OrderedFloat<T>

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fn nan() -> Self

Returns the NaN value. Read more
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fn infinity() -> Self

Returns the infinite value. Read more
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fn neg_infinity() -> Self

Returns the negative infinite value. Read more
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fn neg_zero() -> Self

Returns -0.0. Read more
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fn min_value() -> Self

Returns the smallest finite value that this type can represent. Read more
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fn min_positive_value() -> Self

Returns the smallest positive, normalized value that this type can represent. Read more
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fn max_value() -> Self

Returns the largest finite value that this type can represent. Read more
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fn is_nan(self) -> bool

Returns true if this value is NaN and false otherwise. Read more
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fn is_infinite(self) -> bool

Returns true if this value is positive infinity or negative infinity and false otherwise. Read more
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fn is_finite(self) -> bool

Returns true if this number is neither infinite nor NaN. Read more
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fn is_normal(self) -> bool

Returns true if the number is neither zero, infinite, subnormal, or NaN. Read more
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fn classify(self) -> FpCategory

Returns the floating point category of the number. If only one property is going to be tested, it is generally faster to use the specific predicate instead. Read more
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fn floor(self) -> Self

Returns the largest integer less than or equal to a number. Read more
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fn ceil(self) -> Self

Returns the smallest integer greater than or equal to a number. Read more
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fn round(self) -> Self

Returns the nearest integer to a number. Round half-way cases away from 0.0. Read more
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fn trunc(self) -> Self

Return the integer part of a number. Read more
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fn fract(self) -> Self

Returns the fractional part of a number. Read more
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fn abs(self) -> Self

Computes the absolute value of self. Returns Float::nan() if the number is Float::nan(). Read more
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fn signum(self) -> Self

Returns a number that represents the sign of self. Read more
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fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0, Float::infinity(), and Float::nan(). Read more
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fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0, Float::neg_infinity(), and -Float::nan(). Read more
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fn mul_add(self, a: Self, b: Self) -> Self

Fused multiply-add. Computes (self * a) + b with only one rounding error, yielding a more accurate result than an unfused multiply-add. Read more
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fn recip(self) -> Self

Take the reciprocal (inverse) of a number, 1/x. Read more
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fn powi(self, n: i32) -> Self

Raise a number to an integer power. Read more
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fn powf(self, n: Self) -> Self

Raise a number to a floating point power. Read more
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fn sqrt(self) -> Self

Take the square root of a number. Read more
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fn exp(self) -> Self

Returns e^(self), (the exponential function). Read more
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fn exp2(self) -> Self

Returns 2^(self). Read more
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fn ln(self) -> Self

Returns the natural logarithm of the number. Read more
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fn log(self, base: Self) -> Self

Returns the logarithm of the number with respect to an arbitrary base. Read more
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fn log2(self) -> Self

Returns the base 2 logarithm of the number. Read more
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fn log10(self) -> Self

Returns the base 10 logarithm of the number. Read more
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fn max(self, other: Self) -> Self

Returns the maximum of the two numbers. Read more
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fn min(self, other: Self) -> Self

Returns the minimum of the two numbers. Read more
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fn abs_sub(self, other: Self) -> Self

The positive difference of two numbers. Read more
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fn cbrt(self) -> Self

Take the cubic root of a number. Read more
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fn hypot(self, other: Self) -> Self

Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y. Read more
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fn sin(self) -> Self

Computes the sine of a number (in radians). Read more
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fn cos(self) -> Self

Computes the cosine of a number (in radians). Read more
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fn tan(self) -> Self

Computes the tangent of a number (in radians). Read more
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fn asin(self) -> Self

Computes the arcsine of a number. Return value is in radians in the range [-pi/2, pi/2] or NaN if the number is outside the range [-1, 1]. Read more
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fn acos(self) -> Self

Computes the arccosine of a number. Return value is in radians in the range [0, pi] or NaN if the number is outside the range [-1, 1]. Read more
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fn atan(self) -> Self

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2]; Read more
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fn atan2(self, other: Self) -> Self

Computes the four quadrant arctangent of self (y) and other (x). Read more
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fn sin_cos(self) -> (Self, Self)

Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)). Read more
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fn exp_m1(self) -> Self

Returns e^(self) - 1 in a way that is accurate even if the number is close to zero. Read more
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fn ln_1p(self) -> Self

Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately. Read more
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fn sinh(self) -> Self

Hyperbolic sine function. Read more
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fn cosh(self) -> Self

Hyperbolic cosine function. Read more
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fn tanh(self) -> Self

Hyperbolic tangent function. Read more
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fn asinh(self) -> Self

Inverse hyperbolic sine function. Read more
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fn acosh(self) -> Self

Inverse hyperbolic cosine function. Read more
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fn atanh(self) -> Self

Inverse hyperbolic tangent function. Read more
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fn integer_decode(self) -> (u64, i16, i8)

Returns the mantissa, base 2 exponent, and sign as integers, respectively. The original number can be recovered by sign * mantissa * 2 ^ exponent. Read more
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fn epsilon() -> Self

Returns epsilon, a small positive value. Read more
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fn to_degrees(self) -> Self

Converts radians to degrees. Read more
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fn to_radians(self) -> Self

Converts degrees to radians. Read more
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fn is_subnormal(self) -> bool

Returns true if the number is subnormal. Read more
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fn clamp(self, min: Self, max: Self) -> Self

Clamps a value between a min and max. Read more
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fn copysign(self, sign: Self) -> Self

Returns a number composed of the magnitude of self and the sign of sign. Read more
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impl<T: FloatConst> FloatConst for OrderedFloat<T>

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fn E() -> Self

Return Euler’s number.
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fn FRAC_1_PI() -> Self

Return 1.0 / π.
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fn FRAC_1_SQRT_2() -> Self

Return 1.0 / sqrt(2.0).
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fn FRAC_2_PI() -> Self

Return 2.0 / π.
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fn FRAC_2_SQRT_PI() -> Self

Return 2.0 / sqrt(π).
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fn FRAC_PI_2() -> Self

Return π / 2.0.
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fn FRAC_PI_3() -> Self

Return π / 3.0.
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fn FRAC_PI_4() -> Self

Return π / 4.0.
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fn FRAC_PI_6() -> Self

Return π / 6.0.
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fn FRAC_PI_8() -> Self

Return π / 8.0.
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fn LN_10() -> Self

Return ln(10.0).
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fn LN_2() -> Self

Return ln(2.0).
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fn LOG10_E() -> Self

Return log10(e).
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fn LOG2_E() -> Self

Return log2(e).
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fn PI() -> Self

Return Archimedes’ constant π.
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fn SQRT_2() -> Self

Return sqrt(2.0).
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impl<T: FloatCore> FloatCore for OrderedFloat<T>

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fn nan() -> Self

Returns NaN. Read more
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fn infinity() -> Self

Returns positive infinity. Read more
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fn neg_infinity() -> Self

Returns negative infinity. Read more
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fn neg_zero() -> Self

Returns -0.0. Read more
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fn min_value() -> Self

Returns the smallest finite value that this type can represent. Read more
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fn min_positive_value() -> Self

Returns the smallest positive, normalized value that this type can represent. Read more
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fn max_value() -> Self

Returns the largest finite value that this type can represent. Read more
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fn is_nan(self) -> bool

Returns true if the number is NaN. Read more
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fn is_infinite(self) -> bool

Returns true if the number is infinite. Read more
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fn is_finite(self) -> bool

Returns true if the number is neither infinite or NaN. Read more
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fn is_normal(self) -> bool

Returns true if the number is neither zero, infinite, subnormal or NaN. Read more
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fn classify(self) -> FpCategory

Returns the floating point category of the number. If only one property is going to be tested, it is generally faster to use the specific predicate instead. Read more
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fn floor(self) -> Self

Returns the largest integer less than or equal to a number. Read more
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fn ceil(self) -> Self

Returns the smallest integer greater than or equal to a number. Read more
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fn round(self) -> Self

Returns the nearest integer to a number. Round half-way cases away from 0.0. Read more
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fn trunc(self) -> Self

Return the integer part of a number. Read more
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fn fract(self) -> Self

Returns the fractional part of a number. Read more
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fn abs(self) -> Self

Computes the absolute value of self. Returns FloatCore::nan() if the number is FloatCore::nan(). Read more
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fn signum(self) -> Self

Returns a number that represents the sign of self. Read more
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fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0 and FloatCore::infinity(), and FloatCore::nan(). Read more
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fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0 and FloatCore::neg_infinity(), and -FloatCore::nan(). Read more
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fn recip(self) -> Self

Returns the reciprocal (multiplicative inverse) of the number. Read more
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fn powi(self, n: i32) -> Self

Raise a number to an integer power. Read more
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fn integer_decode(self) -> (u64, i16, i8)

Returns the mantissa, base 2 exponent, and sign as integers, respectively. The original number can be recovered by sign * mantissa * 2 ^ exponent. Read more
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fn epsilon() -> Self

Returns epsilon, a small positive value. Read more
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fn to_degrees(self) -> Self

Converts to degrees, assuming the number is in radians. Read more
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fn to_radians(self) -> Self

Converts to radians, assuming the number is in degrees. Read more
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fn is_subnormal(self) -> bool

Returns true if the number is subnormal. Read more
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fn min(self, other: Self) -> Self

Returns the minimum of the two numbers. Read more
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fn max(self, other: Self) -> Self

Returns the maximum of the two numbers. Read more
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fn clamp(self, min: Self, max: Self) -> Self

A value bounded by a minimum and a maximum Read more
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impl<'a, T: FloatCore> From<&'a T> for &'a OrderedFloat<T>

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fn from(t: &'a T) -> &'a OrderedFloat<T>

Converts to this type from the input type.
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impl<'a, T: FloatCore> From<&'a mut T> for &'a mut OrderedFloat<T>

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fn from(t: &'a mut T) -> &'a mut OrderedFloat<T>

Converts to this type from the input type.
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impl From<OrderedFloat<f32>> for f32

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fn from(f: OrderedFloat<f32>) -> f32

Converts to this type from the input type.
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impl From<OrderedFloat<f64>> for f64

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fn from(f: OrderedFloat<f64>) -> f64

Converts to this type from the input type.
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impl<T: FloatCore> From<T> for OrderedFloat<T>

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fn from(val: T) -> Self

Converts to this type from the input type.
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impl From<bool> for OrderedFloat<f32>

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fn from(val: bool) -> Self

Converts to this type from the input type.
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impl From<bool> for OrderedFloat<f64>

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fn from(val: bool) -> Self

Converts to this type from the input type.
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impl From<i16> for OrderedFloat<f32>

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fn from(val: i16) -> Self

Converts to this type from the input type.
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impl From<i16> for OrderedFloat<f64>

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fn from(val: i16) -> Self

Converts to this type from the input type.
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impl From<i32> for OrderedFloat<f64>

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fn from(val: i32) -> Self

Converts to this type from the input type.
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impl From<i8> for OrderedFloat<f32>

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fn from(val: i8) -> Self

Converts to this type from the input type.
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impl From<i8> for OrderedFloat<f64>

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fn from(val: i8) -> Self

Converts to this type from the input type.
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impl From<u16> for OrderedFloat<f32>

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fn from(val: u16) -> Self

Converts to this type from the input type.
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impl From<u16> for OrderedFloat<f64>

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fn from(val: u16) -> Self

Converts to this type from the input type.
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impl From<u32> for OrderedFloat<f64>

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fn from(val: u32) -> Self

Converts to this type from the input type.
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impl From<u8> for OrderedFloat<f32>

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fn from(val: u8) -> Self

Converts to this type from the input type.
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impl From<u8> for OrderedFloat<f64>

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fn from(val: u8) -> Self

Converts to this type from the input type.
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impl<T: FromPrimitive> FromPrimitive for OrderedFloat<T>

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fn from_i64(n: i64) -> Option<Self>

Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_u64(n: u64) -> Option<Self>

Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_isize(n: isize) -> Option<Self>

Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_i8(n: i8) -> Option<Self>

Converts an i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_i16(n: i16) -> Option<Self>

Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_i32(n: i32) -> Option<Self>

Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_usize(n: usize) -> Option<Self>

Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_u8(n: u8) -> Option<Self>

Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_u16(n: u16) -> Option<Self>

Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_u32(n: u32) -> Option<Self>

Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_f32(n: f32) -> Option<Self>

Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.
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fn from_f64(n: f64) -> Option<Self>

Converts a f64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
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fn from_i128(n: i128) -> Option<Self>

Converts an i128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
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fn from_u128(n: u128) -> Option<Self>

Converts an u128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
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impl<T: FromStr> FromStr for OrderedFloat<T>

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fn from_str(s: &str) -> Result<Self, Self::Err>

Convert a &str to OrderedFloat. Returns an error if the string fails to parse.

use ordered_float::OrderedFloat;

assert!("-10".parse::<OrderedFloat<f32>>().is_ok());
assert!("abc".parse::<OrderedFloat<f32>>().is_err());
assert!("NaN".parse::<OrderedFloat<f32>>().is_ok());
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type Err = <T as FromStr>::Err

The associated error which can be returned from parsing.
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impl<T: FloatCore> Hash for OrderedFloat<T>

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

Feeds this value into the given Hasher. Read more
1.3.0 · source§

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<T: FloatCore + LowerExp> LowerExp for OrderedFloat<T>

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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<'a, T> Mul<&'a OrderedFloat<T>> for OrderedFloat<T>
where T: Mul<&'a T>,

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type Output = OrderedFloat<<T as Mul<&'a T>>::Output>

The resulting type after applying the * operator.
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fn mul(self, other: &'a Self) -> Self::Output

Performs the * operation. Read more
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impl<'a, T> Mul<&'a T> for &'a OrderedFloat<T>
where &'a T: Mul,

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type Output = OrderedFloat<<&'a T as Mul>::Output>

The resulting type after applying the * operator.
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fn mul(self, other: &'a T) -> Self::Output

Performs the * operation. Read more
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impl<'a, T> Mul<&'a T> for OrderedFloat<T>
where T: Mul<&'a T>,

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type Output = OrderedFloat<<T as Mul<&'a T>>::Output>

The resulting type after applying the * operator.
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fn mul(self, other: &'a T) -> Self::Output

Performs the * operation. Read more
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impl<'a, T> Mul<OrderedFloat<T>> for &'a OrderedFloat<T>
where &'a T: Mul<T>,

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type Output = OrderedFloat<<&'a T as Mul<T>>::Output>

The resulting type after applying the * operator.
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fn mul(self, other: OrderedFloat<T>) -> Self::Output

Performs the * operation. Read more
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impl<'a, T> Mul<T> for &'a OrderedFloat<T>
where &'a T: Mul<T>,

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type Output = OrderedFloat<<&'a T as Mul<T>>::Output>

The resulting type after applying the * operator.
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fn mul(self, other: T) -> Self::Output

Performs the * operation. Read more
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impl<T: Mul> Mul<T> for OrderedFloat<T>

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type Output = OrderedFloat<<T as Mul>::Output>

The resulting type after applying the * operator.
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fn mul(self, other: T) -> Self::Output

Performs the * operation. Read more
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impl<'a, T: Mul + Copy> Mul for &'a OrderedFloat<T>

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type Output = OrderedFloat<<T as Mul>::Output>

The resulting type after applying the * operator.
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fn mul(self, other: Self) -> Self::Output

Performs the * operation. Read more
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impl<T: Mul> Mul for OrderedFloat<T>

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type Output = OrderedFloat<<T as Mul>::Output>

The resulting type after applying the * operator.
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fn mul(self, other: Self) -> Self::Output

Performs the * operation. Read more
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impl<'a, T: MulAssign<&'a T>> MulAssign<&'a OrderedFloat<T>> for OrderedFloat<T>

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fn mul_assign(&mut self, other: &'a Self)

Performs the *= operation. Read more
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impl<'a, T: MulAssign<&'a T>> MulAssign<&'a T> for OrderedFloat<T>

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fn mul_assign(&mut self, other: &'a T)

Performs the *= operation. Read more
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impl<T: MulAssign> MulAssign<T> for OrderedFloat<T>

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fn mul_assign(&mut self, other: T)

Performs the *= operation. Read more
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impl<T: MulAssign> MulAssign for OrderedFloat<T>

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fn mul_assign(&mut self, other: Self)

Performs the *= operation. Read more
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impl<'a, T> Neg for &'a OrderedFloat<T>
where &'a T: Neg,

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type Output = OrderedFloat<<&'a T as Neg>::Output>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<T: Neg> Neg for OrderedFloat<T>

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type Output = OrderedFloat<<T as Neg>::Output>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<T: FloatCore + Num> Num for OrderedFloat<T>

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type FromStrRadixErr = <T as Num>::FromStrRadixErr

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fn from_str_radix(str: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr>

Convert from a string and radix (typically 2..=36). Read more
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impl<T: NumCast> NumCast for OrderedFloat<T>

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fn from<F: ToPrimitive>(n: F) -> Option<Self>

Creates a number from another value that can be converted into a primitive via the ToPrimitive trait. If the source value cannot be represented by the target type, then None is returned. Read more
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impl<T: One> One for OrderedFloat<T>

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fn one() -> Self

Returns the multiplicative identity element of Self, 1. Read more
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fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.
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impl<T: FloatCore> Ord for OrderedFloat<T>

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

This method returns an Ordering between self and other. Read more
1.21.0 · source§

fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
1.21.0 · source§

fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
1.50.0 · source§

fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Restrict a value to a certain interval. Read more
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impl<T: FloatCore> PartialEq<T> for OrderedFloat<T>

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fn eq(&self, other: &T) -> 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<T: FloatCore> PartialEq for OrderedFloat<T>

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fn eq(&self, other: &OrderedFloat<T>) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 · source§

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<T: FloatCore> PartialOrd for OrderedFloat<T>

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fn partial_cmp(&self, other: &Self) -> 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: &Self) -> bool

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

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: &Self) -> bool

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

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl<'a, 'b> Pow<&'a OrderedFloat<f32>> for &'b OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a OrderedFloat<f32>) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a OrderedFloat<f32>> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a OrderedFloat<f32>) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a OrderedFloat<f32>> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a OrderedFloat<f32>) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a OrderedFloat<f32>> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a OrderedFloat<f32>) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a OrderedFloat<f64>> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a OrderedFloat<f64>) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a OrderedFloat<f64>> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a OrderedFloat<f64>) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a f32> for &'b OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a f32) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a f32> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a f32) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a f32> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a f32) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a f32> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a f32) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a f64> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a f64) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a f64> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a f64) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a i16> for &'b OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a i16) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a i16> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a i16) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a i16> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a i16) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a i16> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a i16) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a i32> for &'b OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a i32) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a i32> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a i32) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a i32> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a i32) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a i32> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a i32) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a i8> for &'b OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a i8) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a i8> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a i8) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a i8> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a i8) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a i8> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a i8) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a u16> for &'b OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a u16) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a u16> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a u16) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a u16> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a u16) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a u16> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a u16) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a u8> for &'b OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a u8) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a, 'b> Pow<&'a u8> for &'b OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a u8) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a u8> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: &'a u8) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<&'a u8> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: &'a u8) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<OrderedFloat<f32>> for &'a OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: OrderedFloat<f32>) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<OrderedFloat<f32>> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: OrderedFloat<f32>) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<OrderedFloat<f32>> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: OrderedFloat<f32>) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl Pow<OrderedFloat<f32>> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: OrderedFloat<f32>) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<OrderedFloat<f64>> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: OrderedFloat<f64>) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<OrderedFloat<f64>> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: OrderedFloat<f64>) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<f32> for &'a OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: f32) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<f32> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: f32) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<f32> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: f32) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl Pow<f32> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: f32) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<f64> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: f64) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<f64> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: f64) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<i16> for &'a OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: i16) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<i16> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: i16) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<i16> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: i16) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl Pow<i16> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: i16) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<i32> for &'a OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: i32) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<i32> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: i32) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<i32> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: i32) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl Pow<i32> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: i32) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<i8> for &'a OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: i8) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<i8> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: i8) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<i8> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: i8) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl Pow<i8> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: i8) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<u16> for &'a OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: u16) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<u16> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: u16) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<u16> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: u16) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl Pow<u16> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: u16) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a> Pow<u8> for &'a OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: u8) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl<'a> Pow<u8> for &'a OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: u8) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl Pow<u8> for OrderedFloat<f32>

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type Output = OrderedFloat<f32>

The result after applying the operator.
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fn pow(self, rhs: u8) -> OrderedFloat<f32>

Returns self to the power rhs. Read more
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impl Pow<u8> for OrderedFloat<f64>

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type Output = OrderedFloat<f64>

The result after applying the operator.
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fn pow(self, rhs: u8) -> OrderedFloat<f64>

Returns self to the power rhs. Read more
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impl<'a, T: FloatCore + Product + 'a> Product<&'a OrderedFloat<T>> for OrderedFloat<T>

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fn product<I: Iterator<Item = &'a OrderedFloat<T>>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.
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impl<T: FloatCore + Product> Product for OrderedFloat<T>

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fn product<I: Iterator<Item = OrderedFloat<T>>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.
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impl<'a, T> Rem<&'a OrderedFloat<T>> for OrderedFloat<T>
where T: Rem<&'a T>,

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type Output = OrderedFloat<<T as Rem<&'a T>>::Output>

The resulting type after applying the % operator.
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fn rem(self, other: &'a Self) -> Self::Output

Performs the % operation. Read more
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impl<'a, T> Rem<&'a T> for &'a OrderedFloat<T>
where &'a T: Rem,

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type Output = OrderedFloat<<&'a T as Rem>::Output>

The resulting type after applying the % operator.
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fn rem(self, other: &'a T) -> Self::Output

Performs the % operation. Read more
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impl<'a, T> Rem<&'a T> for OrderedFloat<T>
where T: Rem<&'a T>,

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type Output = OrderedFloat<<T as Rem<&'a T>>::Output>

The resulting type after applying the % operator.
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fn rem(self, other: &'a T) -> Self::Output

Performs the % operation. Read more
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impl<'a, T> Rem<OrderedFloat<T>> for &'a OrderedFloat<T>
where &'a T: Rem<T>,

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type Output = OrderedFloat<<&'a T as Rem<T>>::Output>

The resulting type after applying the % operator.
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fn rem(self, other: OrderedFloat<T>) -> Self::Output

Performs the % operation. Read more
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impl<'a, T> Rem<T> for &'a OrderedFloat<T>
where &'a T: Rem<T>,

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type Output = OrderedFloat<<&'a T as Rem<T>>::Output>

The resulting type after applying the % operator.
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fn rem(self, other: T) -> Self::Output

Performs the % operation. Read more
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impl<T: Rem> Rem<T> for OrderedFloat<T>

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type Output = OrderedFloat<<T as Rem>::Output>

The resulting type after applying the % operator.
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fn rem(self, other: T) -> Self::Output

Performs the % operation. Read more
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impl<'a, T: Rem + Copy> Rem for &'a OrderedFloat<T>

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type Output = OrderedFloat<<T as Rem>::Output>

The resulting type after applying the % operator.
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fn rem(self, other: Self) -> Self::Output

Performs the % operation. Read more
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impl<T: Rem> Rem for OrderedFloat<T>

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type Output = OrderedFloat<<T as Rem>::Output>

The resulting type after applying the % operator.
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fn rem(self, other: Self) -> Self::Output

Performs the % operation. Read more
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impl<'a, T: RemAssign<&'a T>> RemAssign<&'a OrderedFloat<T>> for OrderedFloat<T>

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fn rem_assign(&mut self, other: &'a Self)

Performs the %= operation. Read more
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impl<'a, T: RemAssign<&'a T>> RemAssign<&'a T> for OrderedFloat<T>

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fn rem_assign(&mut self, other: &'a T)

Performs the %= operation. Read more
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impl<T: RemAssign> RemAssign<T> for OrderedFloat<T>

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fn rem_assign(&mut self, other: T)

Performs the %= operation. Read more
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impl<T: RemAssign> RemAssign for OrderedFloat<T>

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fn rem_assign(&mut self, other: Self)

Performs the %= operation. Read more
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impl<T: FloatCore + Signed> Signed for OrderedFloat<T>

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fn abs(&self) -> Self

Computes the absolute value. Read more
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fn abs_sub(&self, other: &Self) -> Self

The positive difference of two numbers. Read more
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fn signum(&self) -> Self

Returns the sign of the number. Read more
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fn is_positive(&self) -> bool

Returns true if the number is positive and false if the number is zero or negative.
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fn is_negative(&self) -> bool

Returns true if the number is negative and false if the number is zero or positive.
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impl<'a, T> Sub<&'a OrderedFloat<T>> for OrderedFloat<T>
where T: Sub<&'a T>,

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type Output = OrderedFloat<<T as Sub<&'a T>>::Output>

The resulting type after applying the - operator.
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fn sub(self, other: &'a Self) -> Self::Output

Performs the - operation. Read more
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impl<'a, T> Sub<&'a T> for &'a OrderedFloat<T>
where &'a T: Sub,

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type Output = OrderedFloat<<&'a T as Sub>::Output>

The resulting type after applying the - operator.
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fn sub(self, other: &'a T) -> Self::Output

Performs the - operation. Read more
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impl<'a, T> Sub<&'a T> for OrderedFloat<T>
where T: Sub<&'a T>,

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type Output = OrderedFloat<<T as Sub<&'a T>>::Output>

The resulting type after applying the - operator.
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fn sub(self, other: &'a T) -> Self::Output

Performs the - operation. Read more
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impl<'a, T> Sub<OrderedFloat<T>> for &'a OrderedFloat<T>
where &'a T: Sub<T>,

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type Output = OrderedFloat<<&'a T as Sub<T>>::Output>

The resulting type after applying the - operator.
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fn sub(self, other: OrderedFloat<T>) -> Self::Output

Performs the - operation. Read more
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impl<'a, T> Sub<T> for &'a OrderedFloat<T>
where &'a T: Sub<T>,

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type Output = OrderedFloat<<&'a T as Sub<T>>::Output>

The resulting type after applying the - operator.
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fn sub(self, other: T) -> Self::Output

Performs the - operation. Read more
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impl<T: Sub> Sub<T> for OrderedFloat<T>

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type Output = OrderedFloat<<T as Sub>::Output>

The resulting type after applying the - operator.
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fn sub(self, other: T) -> Self::Output

Performs the - operation. Read more
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impl<'a, T: Sub + Copy> Sub for &'a OrderedFloat<T>

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type Output = OrderedFloat<<T as Sub>::Output>

The resulting type after applying the - operator.
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fn sub(self, other: Self) -> Self::Output

Performs the - operation. Read more
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impl<T: Sub> Sub for OrderedFloat<T>

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type Output = OrderedFloat<<T as Sub>::Output>

The resulting type after applying the - operator.
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fn sub(self, other: Self) -> Self::Output

Performs the - operation. Read more
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impl<'a, T: SubAssign<&'a T>> SubAssign<&'a OrderedFloat<T>> for OrderedFloat<T>

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fn sub_assign(&mut self, other: &'a Self)

Performs the -= operation. Read more
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impl<'a, T: SubAssign<&'a T>> SubAssign<&'a T> for OrderedFloat<T>

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fn sub_assign(&mut self, other: &'a T)

Performs the -= operation. Read more
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impl<T: SubAssign> SubAssign<T> for OrderedFloat<T>

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fn sub_assign(&mut self, other: T)

Performs the -= operation. Read more
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impl<T: SubAssign> SubAssign for OrderedFloat<T>

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fn sub_assign(&mut self, other: Self)

Performs the -= operation. Read more
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impl<'a, T: FloatCore + Sum + 'a> Sum<&'a OrderedFloat<T>> for OrderedFloat<T>

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fn sum<I: Iterator<Item = &'a OrderedFloat<T>>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.
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impl<T: FloatCore + Sum> Sum for OrderedFloat<T>

Adds a float directly.

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fn sum<I: Iterator<Item = OrderedFloat<T>>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.
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impl<T: ToPrimitive> ToPrimitive for OrderedFloat<T>

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fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.
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fn to_u64(&self) -> Option<u64>

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.
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fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.
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fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.
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fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.
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fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.
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fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.
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fn to_u8(&self) -> Option<u8>

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.
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fn to_u16(&self) -> Option<u16>

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.
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fn to_u32(&self) -> Option<u32>

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.
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fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f32.
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fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f64. Read more
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fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned. Read more
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fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned. Read more
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impl<T: FloatCore + UpperExp> UpperExp for OrderedFloat<T>

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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<T: Zero> Zero for OrderedFloat<T>

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fn zero() -> Self

Returns the additive identity element of Self, 0. Read more
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fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.
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fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.
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impl<T: Copy> Copy for OrderedFloat<T>

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impl<T: FloatCore> Eq for OrderedFloat<T>

Auto Trait Implementations§

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impl<T> Freeze for OrderedFloat<T>
where T: Freeze,

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impl<T> RefUnwindSafe for OrderedFloat<T>
where T: RefUnwindSafe,

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impl<T> Send for OrderedFloat<T>
where T: Send,

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impl<T> Sync for OrderedFloat<T>
where T: Sync,

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impl<T> Unpin for OrderedFloat<T>
where T: Unpin,

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impl<T> UnwindSafe for OrderedFloat<T>
where T: UnwindSafe,

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> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. 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> LowerBounded for T
where T: Bounded,

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fn min_value() -> T

Returns the smallest finite number this type can represent
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impl<T> Real for T
where T: Float,

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fn min_value() -> T

Returns the smallest finite value that this type can represent. Read more
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fn min_positive_value() -> T

Returns the smallest positive, normalized value that this type can represent. Read more
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fn epsilon() -> T

Returns epsilon, a small positive value. Read more
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fn max_value() -> T

Returns the largest finite value that this type can represent. Read more
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fn floor(self) -> T

Returns the largest integer less than or equal to a number. Read more
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fn ceil(self) -> T

Returns the smallest integer greater than or equal to a number. Read more
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fn round(self) -> T

Returns the nearest integer to a number. Round half-way cases away from 0.0. Read more
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fn trunc(self) -> T

Return the integer part of a number. Read more
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fn fract(self) -> T

Returns the fractional part of a number. Read more
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fn abs(self) -> T

Computes the absolute value of self. Returns Float::nan() if the number is Float::nan(). Read more
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fn signum(self) -> T

Returns a number that represents the sign of self. Read more
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fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0, Float::infinity(), and with newer versions of Rust f64::NAN. Read more
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fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0, Float::neg_infinity(), and with newer versions of Rust -f64::NAN. Read more
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fn mul_add(self, a: T, b: T) -> T

Fused multiply-add. Computes (self * a) + b with only one rounding error, yielding a more accurate result than an unfused multiply-add. Read more
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fn recip(self) -> T

Take the reciprocal (inverse) of a number, 1/x. Read more
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fn powi(self, n: i32) -> T

Raise a number to an integer power. Read more
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fn powf(self, n: T) -> T

Raise a number to a real number power. Read more
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fn sqrt(self) -> T

Take the square root of a number. Read more
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fn exp(self) -> T

Returns e^(self), (the exponential function). Read more
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fn exp2(self) -> T

Returns 2^(self). Read more
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fn ln(self) -> T

Returns the natural logarithm of the number. Read more
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fn log(self, base: T) -> T

Returns the logarithm of the number with respect to an arbitrary base. Read more
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fn log2(self) -> T

Returns the base 2 logarithm of the number. Read more
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fn log10(self) -> T

Returns the base 10 logarithm of the number. Read more
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fn to_degrees(self) -> T

Converts radians to degrees. Read more
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fn to_radians(self) -> T

Converts degrees to radians. Read more
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fn max(self, other: T) -> T

Returns the maximum of the two numbers. Read more
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fn min(self, other: T) -> T

Returns the minimum of the two numbers. Read more
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fn abs_sub(self, other: T) -> T

The positive difference of two numbers. Read more
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fn cbrt(self) -> T

Take the cubic root of a number. Read more
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fn hypot(self, other: T) -> T

Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y. Read more
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fn sin(self) -> T

Computes the sine of a number (in radians). Read more
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fn cos(self) -> T

Computes the cosine of a number (in radians). Read more
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fn tan(self) -> T

Computes the tangent of a number (in radians). Read more
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fn asin(self) -> T

Computes the arcsine of a number. Return value is in radians in the range [-pi/2, pi/2] or NaN if the number is outside the range [-1, 1]. Read more
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fn acos(self) -> T

Computes the arccosine of a number. Return value is in radians in the range [0, pi] or NaN if the number is outside the range [-1, 1]. Read more
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fn atan(self) -> T

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2]; Read more
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fn atan2(self, other: T) -> T

Computes the four quadrant arctangent of self (y) and other (x). Read more
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fn sin_cos(self) -> (T, T)

Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)). Read more
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fn exp_m1(self) -> T

Returns e^(self) - 1 in a way that is accurate even if the number is close to zero. Read more
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fn ln_1p(self) -> T

Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately. Read more
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fn sinh(self) -> T

Hyperbolic sine function. Read more
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fn cosh(self) -> T

Hyperbolic cosine function. Read more
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fn tanh(self) -> T

Hyperbolic tangent function. Read more
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fn asinh(self) -> T

Inverse hyperbolic sine function. Read more
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fn acosh(self) -> T

Inverse hyperbolic cosine function. Read more
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fn atanh(self) -> T

Inverse hyperbolic tangent function. Read more
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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> ToString for T
where T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. 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> UpperBounded for T
where T: Bounded,

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fn max_value() -> T

Returns the largest finite number this type can represent
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impl<T> NumAssign for T
where T: Num + NumAssignOps,

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impl<T, Rhs> NumAssignOps<Rhs> for T
where T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>,

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impl<T> NumAssignRef for T
where T: NumAssign + for<'r> NumAssignOps<&'r T>,

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impl<T, Rhs, Output> NumOps<Rhs, Output> for T
where T: Sub<Rhs, Output = Output> + Mul<Rhs, Output = Output> + Div<Rhs, Output = Output> + Add<Rhs, Output = Output> + Rem<Rhs, Output = Output>,

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impl<T> NumRef for T
where T: Num + for<'r> NumOps<&'r T>,

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impl<T, Base> RefNum<Base> for T
where T: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base>,