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Showing content from https://docs.rs/ordered-float/latest/ordered_float/struct.OrderedFloat.html below:

OrderedFloat in ordered_float - Rust

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

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.

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.

Converts this type into a mutable reference of the (usually inferred) input type.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Convert a value to another, using the as operator.

Converts this type into a shared reference of the (usually inferred) input type.

Returns the smallest finite number this type can represent

Returns the largest finite number this type can represent

The resulting type after dereferencing.

Dereferences the value.

Mutably dereferences the value.

Returns the negative infinite value.

Returns the smallest finite value that this type can represent.

Returns the smallest positive, normalized value that this type can represent.

Returns the largest finite value that this type can represent.

Returns

if this value is

and false otherwise.

Returns

if this value is positive infinity or negative infinity and false otherwise.

Returns

if this number is neither infinite nor

.

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.

Returns the largest integer less than or equal to a number.

Returns the smallest integer greater than or equal to a number.

Returns the nearest integer to a number. Round half-way cases away from

.

Return the integer part of a number.

Returns the fractional part of a number.

Computes the absolute value of

. Returns

if the number is

.

Returns a number that represents the sign of

.

Returns

if

is positive, including

,

, and

.

Returns

if

is negative, including

,

, and

.

Fused multiply-add. Computes

with only one rounding error, yielding a more accurate result than an unfused multiply-add.

Take the reciprocal (inverse) of a number,

.

Raise a number to an integer power.

Raise a number to a floating point power.

Returns

, (the exponential function).

Returns the natural logarithm of the number.

Returns the logarithm of the number with respect to an arbitrary base.

Returns the base 2 logarithm of the number.

Returns the base 10 logarithm of the number.

Returns the maximum of the two numbers.

Returns the minimum of the two numbers.

The positive difference of two numbers.

Calculate the length of the hypotenuse of a right-angle triangle given legs of length

and

.

Computes the sine of a number (in radians).

Computes the cosine of a number (in radians).

Computes the tangent of a number (in radians).

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].

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].

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2];

Computes the four quadrant arctangent of

(

) and

(

).

Simultaneously computes the sine and cosine of the number,

. Returns

.

Returns

in a way that is accurate even if the number is close to zero.

Returns

(natural logarithm) more accurately than if the operations were performed separately.

Inverse hyperbolic cosine function.

Inverse hyperbolic tangent function.

Returns the mantissa, base 2 exponent, and sign as integers, respectively. The original number can be recovered by

.

Returns epsilon, a small positive value.

Clamps a value between a min and max.

Returns a number composed of the magnitude of

and the sign of

.

Returns the smallest finite value that this type can represent.

Returns the smallest positive, normalized value that this type can represent.

Returns the largest finite value that this type can represent.

Returns

if the number is infinite.

Returns

if the number is neither infinite or NaN.

Returns

if the number is neither zero, infinite, subnormal or NaN.

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.

Returns the largest integer less than or equal to a number.

Returns the smallest integer greater than or equal to a number.

Returns the nearest integer to a number. Round half-way cases away from

.

Return the integer part of a number.

Returns the fractional part of a number.

Computes the absolute value of

. Returns

if the number is

.

Returns a number that represents the sign of

.

Returns

if

is positive, including

and

, and

.

Returns

if

is negative, including

and

, and

.

Returns the reciprocal (multiplicative inverse) of the number.

Raise a number to an integer power.

Returns the mantissa, base 2 exponent, and sign as integers, respectively. The original number can be recovered by

.

Returns epsilon, a small positive value.

Converts to degrees, assuming the number is in radians.

Converts to radians, assuming the number is in degrees.

Returns the minimum of the two numbers.

Returns the maximum of the two numbers.

A value bounded by a minimum and a maximum

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts to this type from the input type.

Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts an i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

Converts a

to return an optional value of this type. If the value cannot be represented by this type, then

is returned.

Converts an

to return an optional value of this type. If the value cannot be represented by this type, then

is returned.

Converts an

to return an optional value of this type. If the value cannot be represented by this type, then

is returned.

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());

The associated error which can be returned from parsing.

Creates a number from another value that can be converted into a primitive via the

trait. If the source value cannot be represented by the target type, then

is returned.

Returns the multiplicative identity element of

,

.

Sets self to the multiplicative identity element of Self, 1.

Returns

if

is equal to the multiplicative identity.

Tests for self and other values to be equal, and is used by ==.

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

Tests for self and other values to be equal, and is used by ==.

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

This method returns an ordering between

and

values if one exists.

Tests less than (for

and

) and is used by the

operator.

Tests less than or equal to (for

and

) and is used by the

operator.

Tests greater than (for

and

) and is used by the

operator.

Tests greater than or equal to (for

and

) and is used by the

operator.

Takes an iterator and generates Self from the elements by multiplying the items.

Takes an iterator and generates Self from the elements by multiplying the items.

The positive difference of two numbers.

Returns true if the number is positive and false if the number is zero or negative.

Returns true if the number is negative and false if the number is zero or positive.

Takes an iterator and generates Self from the elements by “summing up” the items.

Adds a float directly.

Takes an iterator and generates Self from the elements by “summing up” the items.

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.

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.

Converts the value of

to an

. Overflows may map to positive or negative inifinity, otherwise

is returned if the value cannot be represented by an

.

Converts the value of

to an

. If the value cannot be represented by an

(

under the default implementation), then

is returned.

Converts the value of

to a

. If the value cannot be represented by a

(

under the default implementation), then

is returned.

Returns the additive identity element of

,

.

Returns true if self is equal to the additive identity.

Sets self to the additive identity element of Self, 0.

Performs copy-assignment from

to

.

Returns the argument unchanged.

Calls U::from(self).

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

Returns the smallest finite number this type can represent

Returns the smallest finite value that this type can represent.

Returns the smallest positive, normalized value that this type can represent.

Returns epsilon, a small positive value.

Returns the largest finite value that this type can represent.

Returns the largest integer less than or equal to a number.

Returns the smallest integer greater than or equal to a number.

Returns the nearest integer to a number. Round half-way cases away from

.

Return the integer part of a number.

Returns the fractional part of a number.

Computes the absolute value of

. Returns

if the number is

.

Returns a number that represents the sign of

.

Returns

if

is positive, including

,

, and with newer versions of Rust

.

Returns

if

is negative, including

,

, and with newer versions of Rust

.

Fused multiply-add. Computes

with only one rounding error, yielding a more accurate result than an unfused multiply-add.

Take the reciprocal (inverse) of a number,

.

Raise a number to an integer power.

Raise a number to a real number power.

Returns

, (the exponential function).

Returns the natural logarithm of the number.

Returns the logarithm of the number with respect to an arbitrary base.

Returns the base 2 logarithm of the number.

Returns the base 10 logarithm of the number.

Returns the maximum of the two numbers.

Returns the minimum of the two numbers.

The positive difference of two numbers.

Calculate the length of the hypotenuse of a right-angle triangle given legs of length

and

.

Computes the sine of a number (in radians).

Computes the cosine of a number (in radians).

Computes the tangent of a number (in radians).

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].

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].

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2];

Computes the four quadrant arctangent of

(

) and

(

).

Simultaneously computes the sine and cosine of the number,

. Returns

.

Returns

in a way that is accurate even if the number is close to zero.

Returns

(natural logarithm) more accurately than if the operations were performed separately.

Inverse hyperbolic cosine function.

Inverse hyperbolic tangent function.

The target type on which the method may be called.

The resulting type after obtaining ownership.

Creates owned data from borrowed data, usually by cloning.

Uses borrowed data to replace owned data, usually by cloning.

The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

Returns the largest finite number this type can represent

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