#[repr(transparent)]
pub struct ConstrainedFloat<T, P>where
    T: Float + Primitive,
    P: FloatConstraint<T>,
{ /* private fields */ }
Expand description

Floating-point proxy that provides ordering, hashing, and value constraints.

Wraps floating-point values and provides a proxy that implements operation and numerical traits, including Hash, Ord, and Eq. May apply constraints that prevent certain values from occurring (by panicing).

Proxies canonicalize NaN and zero to the forms CNaN and C0 for the following total ordering: [-INF | ... | C0 | ... | INF | CNaN ].

This type is re-exported but should not (and cannot) be used directly. Use the exported type aliases instead (Ordered, NotNan, and Finite).

Implementations

Converts a primitive floating-point value into a proxy.

This kind of conversion is the primary way to obtain a proxy. The same behavior is provided by an implemention of the From trait.

Panics

This conversion and the implementation of the From trait will panic if the primitive floating-point value violates the constraints of the proxy.

Examples

Converting primitive floating-point values into proxies:

use decorum::R64;

fn f(x: R64) -> R64 {
    x * 2.0
}

// Conversion using `from_inner`.
let y = f(R64::from_inner(2.0));
// Conversion using `From`/`Into`.
let z = f(2.0.into());

Performing a conversion that panics:

use decorum::R64;

// `R64` does not allow `NaN`s, but `0.0 / 0.0` produces a `NaN`.
let x = R64::from_inner(0.0 / 0.0); // Panics.

Converts a proxy into a primitive floating-point value.

Examples

Converting a proxy into a primitive floating-point value:

use decorum::R64;

fn f() -> R64 {
    // ...
}

let x: f64 = f().into_inner();

Converts a proxy into another proxy that is capable of representing a superset of values.

Examples

Converting between compatible proxy types:

use decorum::{N64, R64};
use num::Zero;

let x = R64::zero();
let y = N64::from_subset(x);

Converts a proxy into another proxy that is capable of representing a superset of values.

Examples

Converting between compatible proxy types:

use decorum::{N64, R64};
use num::Zero;

let x = R64::zero();
let y: N64 = x.into_superset();

Trait Implementations

The resulting type after applying the + operator.
Performs the + operation. Read more
The resulting type after applying the + operator.
Performs the + operation. Read more
Performs the += operation. Read more
Performs the += operation. Read more
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
Returns a copy of the value. Read more
Performs copy-assignment from source. Read more
Formats the value using the given formatter. Read more
Returns the “default value” for a type. Read more
Deserialize this value from the given Serde deserializer. Read more
Formats the value using the given formatter. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
The resulting type after applying the / operator.
Performs the / operation. Read more
Performs the /= operation. Read more
Performs the /= operation. Read more
Returns the infinite value. Read more
Returns the negative infinite value. Read more
Returns true if this value is positive infinity or negative infinity and false otherwise. Read more
Returns true if this number is neither infinite nor NaN. Read more
Returns the NaN value. Read more
Returns true if this value is NaN and false otherwise. Read more
Returns the largest finite value that this type can represent. Read more
Returns the smallest finite value that this type can represent. Read more
Returns the smallest positive, normalized value that this type can represent. Read more
Returns epsilon, a small positive value. Read more
Returns the minimum of the two numbers. Read more
Returns the maximum of the two numbers. Read more
Returns -0.0. Read more
Returns true if self is positive, including +0.0, Float::infinity(), and since Rust 1.20 also Float::nan(). Read more
Returns true if self is negative, including -0.0, Float::neg_infinity(), and since Rust 1.20 also -Float::nan(). Read more
Returns a number that represents the sign of self. Read more
Computes the absolute value of self. Returns Float::nan() if the number is Float::nan(). Read more
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
Returns true if the number is neither zero, infinite, subnormal, or NaN. Read more
Returns the mantissa, base 2 exponent, and sign as integers, respectively. The original number can be recovered by sign * mantissa * 2 ^ exponent. Read more
Returns the largest integer less than or equal to a number. Read more
Returns the smallest integer greater than or equal to a number. Read more
Returns the nearest integer to a number. Round half-way cases away from 0.0. Read more
Return the integer part of a number. Read more
Returns the fractional part of a number. Read more
Take the reciprocal (inverse) of a number, 1/x. Read more
Fused multiply-add. Computes (self * a) + b with only one rounding error, yielding a more accurate result than an unfused multiply-add. Read more
The positive difference of two numbers. Read more
Raise a number to an integer power. Read more
Raise a number to a floating point power. Read more
Take the square root of a number. Read more
Take the cubic root of a number. Read more
Returns e^(self), (the exponential function). Read more
Returns 2^(self). Read more
Returns e^(self) - 1 in a way that is accurate even if the number is close to zero. Read more
Returns the logarithm of the number with respect to an arbitrary base. Read more
Returns the natural logarithm of the number. Read more
Returns the base 2 logarithm of the number. Read more
Returns the base 10 logarithm of the number. Read more
Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately. Read more
Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y. Read more
Computes the sine of a number (in radians). Read more
Computes the cosine of a number (in radians). Read more
Computes the tangent of a number (in radians). Read more
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
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
Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2]; Read more
Computes the four quadrant arctangent of self (y) and other (x). Read more
Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)). Read more
Hyperbolic sine function. Read more
Hyperbolic cosine function. Read more
Hyperbolic tangent function. Read more
Inverse hyperbolic sine function. Read more
Inverse hyperbolic cosine function. Read more
Inverse hyperbolic tangent function. Read more
Converts radians to degrees. Read more
Converts degrees to radians. Read more
Returns a number composed of the magnitude of self and the sign of sign. Read more
Return Euler’s number.
Return Archimedes’ constant π.
Return sqrt(2.0).
Return 1.0 / π.
Return 2.0 / π.
Return 1.0 / sqrt(2.0).
Return 2.0 / sqrt(π).
Return π / 2.0.
Return π / 3.0.
Return π / 4.0.
Return π / 6.0.
Return π / 8.0.
Return ln(10.0).
Return ln(2.0).
Return log10(e).
Return log2(e).
Return the full circle constant τ.
Return log10(2.0).
Return log2(10.0).
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 i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned. Read more
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
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
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
The associated error which can be returned from parsing.
Parses a string s to return a value of this type. Read more
Feeds this value into the given Hasher. Read more
Feeds a slice of this type into the given Hasher. Read more
Formats the value using the given formatter.
The resulting type after applying the * operator.
Performs the * operation. Read more
The resulting type after applying the * operator.
Performs the * operation. Read more
Performs the *= operation. Read more
Performs the *= operation. Read more
The resulting type after applying the - operator.
Performs the unary - operation. Read more
Convert from a string and radix (typically 2..=36). Read more
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
Returns the multiplicative identity element of Self, 1. Read more
Sets self to the multiplicative identity element of Self, 1.
This method returns an Ordering between self and other. Read more
Compares and returns the maximum of two values. Read more
Compares and returns the minimum of two values. Read more
Restrict a value to a certain interval. Read more
This method tests for self and other values to be equal, and is used by ==. Read more
This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more
This method tests for self and other values to be equal, and is used by ==. Read more
This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason. Read more
This method returns an ordering between self and other values if one exists. Read more
This method tests less than (for self and other) and is used by the < operator. Read more
This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
This method tests greater than (for self and other) and is used by the > operator. Read more
This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
This method returns an ordering between self and other values if one exists. Read more
This method tests less than (for self and other) and is used by the < operator. Read more
This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
This method tests greater than (for self and other) and is used by the > operator. Read more
This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
Method which takes an iterator and generates Self from the elements by multiplying the items. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
The resulting type after applying the % operator.
Performs the % operation. Read more
Performs the %= operation. Read more
Performs the %= operation. Read more
Serialize this value into the given Serde serializer. Read more
Computes the absolute value. Read more
The positive difference of two numbers. Read more
Returns the sign of the number. Read more
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.
The resulting type after applying the - operator.
Performs the - operation. Read more
The resulting type after applying the - operator.
Performs the - operation. Read more
Performs the -= operation. Read more
Performs the -= operation. Read more
Method which takes an iterator and generates Self from the elements by “summing up” the items. Read more
Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned. Read more
Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned. Read more
Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned. Read more
Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned. Read more
Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned. Read more
Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned. Read more
Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned. Read more
Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned. Read more
Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned. Read more
Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned. Read more
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. Read more
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
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
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
Formats the value using the given formatter.
Returns the additive identity element of Self, 0. Read more
Returns true if self is equal to the additive identity.
Sets self to the additive identity element of Self, 0.

Auto Trait Implementations

Blanket Implementations

Gets the TypeId of self. Read more
Immutably borrows from an owned value. Read more
Mutably borrows from an owned value. Read more
Converts to this type from the input type.

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. Read more
Returns the smallest positive, normalized value that this type can represent. Read more
Returns epsilon, a small positive value. Read more
Returns the largest finite value that this type can represent. Read more
Returns the largest integer less than or equal to a number. Read more
Returns the smallest integer greater than or equal to a number. Read more
Returns the nearest integer to a number. Round half-way cases away from 0.0. Read more
Return the integer part of a number. Read more
Returns the fractional part of a number. Read more
Computes the absolute value of self. Returns Float::nan() if the number is Float::nan(). Read more
Returns a number that represents the sign of self. Read more
Returns true if self is positive, including +0.0, Float::infinity(), and with newer versions of Rust f64::NAN. Read more
Returns true if self is negative, including -0.0, Float::neg_infinity(), and with newer versions of Rust -f64::NAN. Read more
Fused multiply-add. Computes (self * a) + b with only one rounding error, yielding a more accurate result than an unfused multiply-add. Read more
Take the reciprocal (inverse) of a number, 1/x. Read more
Raise a number to an integer power. Read more
Raise a number to a real number power. Read more
Take the square root of a number. Read more
Returns e^(self), (the exponential function). Read more
Returns 2^(self). Read more
Returns the natural logarithm of the number. Read more
Returns the logarithm of the number with respect to an arbitrary base. Read more
Returns the base 2 logarithm of the number. Read more
Returns the base 10 logarithm of the number. Read more
Converts radians to degrees. Read more
Converts degrees to radians. Read more
Returns the maximum of the two numbers. Read more
Returns the minimum of the two numbers. Read more
The positive difference of two numbers. Read more
Take the cubic root of a number. Read more
Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y. Read more
Computes the sine of a number (in radians). Read more
Computes the cosine of a number (in radians). Read more
Computes the tangent of a number (in radians). Read more
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
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
Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2]; Read more
Computes the four quadrant arctangent of self (y) and other (x). Read more
Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)). Read more
Returns e^(self) - 1 in a way that is accurate even if the number is close to zero. Read more
Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately. Read more
Hyperbolic sine function. Read more
Hyperbolic cosine function. Read more
Hyperbolic tangent function. Read more
Inverse hyperbolic sine function. Read more
Inverse hyperbolic cosine function. Read more
Inverse hyperbolic tangent function. Read more
The resulting type after obtaining ownership.
Creates owned data from borrowed data, usually by cloning. Read more
Uses borrowed data to replace owned data, usually by cloning. Read more
Converts the given value to a String. Read more
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