Struct fixed::F128

pub struct F128 { /* private fields */ }

A binary128 floating-point number (f128).

This type can be used to

• convert between fixed-point numbers and the bit representation of 128-bit floating-point numbers.
• compare fixed-point numbers and the bit representation of 128-bit floating-point numbers.

This type does not support arithmetic or general analytic functions.

Please see Quadruple-precision floating-point format on Wikipedia for more information on binary128.

See also the fixed::f128::consts module.

Examples

#![feature(generic_const_exprs)]

use fixed::{types::I16F16, F128};
assert_eq!(I16F16::ONE.to_num::<F128>(), F128::ONE);
assert_eq!(I16F16::from_num(F128::ONE), I16F16::ONE);

// fixed-point numbers can be compared directly to F128 values
assert!(I16F16::from_num(1.5) > F128::ONE);
assert!(I16F16::from_num(0.5) < F128::ONE);

Implementations

impl F128

pub const ZERO: F128 = _

Zero.

pub const NEG_ZERO: F128 = _

Negative zero (−0).

pub const ONE: F128 = _

One.

pub const NEG_ONE: F128 = _

Negative one (−1).

pub const MIN_POSITIVE_SUB: F128 = _

Smallest positive subnormal number.

Equal to 2^{MIN_EXP − MANTISSA_DIGITS}.

pub const MIN_POSITIVE: F128 = _

Smallest positive normal number.

Equal to 2^{MIN_EXP − 1}.

pub const MAX: F128 = _

Largest finite number.

Equal to (1 − 2^{−MANTISSA_DIGITS}) 2^MAX_EXP.

pub const MIN: F128 = _

Smallest finite number (−MAX).

pub const INFINITY: F128 = _

Infinity (∞).

pub const NEG_INFINITY: F128 = _

Negative infinity (−∞).

pub const NAN: F128 = _

NaN.

pub const RADIX: u32 = 2u32

The radix or base of the internal representation (2).

pub const MANTISSA_DIGITS: u32 = 113u32

Number of significant digits in base 2.

pub const DIGITS: u32 = 33u32

Maximum x such that any decimal number with x significant digits can be converted to F128 and back without loss.

Equal to floor(log₁₀ 2^{MANTISSA_DIGITS − 1}).

pub const EPSILON: F128 = _

The difference between 1 and the next larger representable number.

Equal to 2^{1 − MANTISSA_DIGITS}.

pub const MIN_EXP: i32 = -16_381i32

If x = MIN_EXP, then normal numbers ≥ 0.5 × 2^x.

pub const MAX_EXP: i32 = 16_384i32

If x = MAX_EXP, then normal numbers < 1 × 2^x.

pub const MIN_10_EXP: i32 = -4_931i32

Minimum x for which 10^x is in the normal range of F128.

Equal to ceil(log₁₀ MIN_POSITIVE).

pub const MAX_10_EXP: i32 = 4_932i32

Maximum x for which 10^x is in the normal range of F128.

Equal to floor(log₁₀ MAX).

pub const fn from_bits(bits: u128) -> F128

Raw transmutation from u128.

Examples

use fixed::F128;
let infinity_bits = 0x7FFF_u128 << 112;
assert!(F128::from_bits(infinity_bits - 1).is_finite());
assert!(!F128::from_bits(infinity_bits).is_finite());

pub const fn to_bits(self) -> u128

Raw transmutation to u128.

Examples

use fixed::F128;
assert_eq!(F128::ONE.to_bits(), 0x3FFF_u128 << 112);
assert_ne!(F128::ONE.to_bits(), 1u128);

pub const fn from_be_bytes(bytes: [u8; 16]) -> F128

Creates a number from a byte array in big-endian byte order.

pub const fn from_le_bytes(bytes: [u8; 16]) -> F128

Creates a number from a byte array in little-endian byte order.

pub const fn from_ne_bytes(bytes: [u8; 16]) -> F128

Creates a number from a byte array in native-endian byte order.

pub const fn to_be_bytes(self) -> [u8; 16]

Returns the memory representation of the number as a byte array in big-endian byte order.

pub const fn to_le_bytes(self) -> [u8; 16]

Returns the memory representation of the number as a byte array in little-endian byte order.

pub const fn to_ne_bytes(self) -> [u8; 16]

Returns the memory representation of the number as a byte array in native-endian byte order.

pub const fn is_nan(self) -> bool

Returns true if the number is NaN.

Example

use fixed::F128;

assert!(F128::NAN.is_nan());

assert!(!F128::ONE.is_nan());
assert!(!F128::INFINITY.is_nan());
assert!(!F128::NEG_INFINITY.is_nan());

pub const fn is_infinite(self) -> bool

Returns true if the number is infinite.

Example

use fixed::F128;

assert!(F128::INFINITY.is_infinite());
assert!(F128::NEG_INFINITY.is_infinite());

assert!(!F128::ONE.is_infinite());
assert!(!F128::NAN.is_infinite());

pub const fn is_finite(self) -> bool

Returns true if the number is neither infinite nor NaN.

Example

use fixed::F128;

assert!(F128::ONE.is_finite());
assert!(F128::MAX.is_finite());

assert!(!F128::INFINITY.is_finite());
assert!(!F128::NEG_INFINITY.is_finite());
assert!(!F128::NAN.is_finite());

pub const fn is_zero(self) -> bool

Returns true if the number is zero.

Example

use fixed::F128;

assert!(F128::ZERO.is_zero());
assert!(F128::NEG_ZERO.is_zero());

assert!(!F128::MIN_POSITIVE_SUB.is_zero());
assert!(!F128::NAN.is_zero());

pub const fn is_subnormal(self) -> bool

Returns true if the number is subnormal.

Example

use fixed::F128;

assert!(F128::MIN_POSITIVE_SUB.is_subnormal());

assert!(!F128::ZERO.is_subnormal());
assert!(!F128::MIN_POSITIVE.is_subnormal());

pub const fn is_normal(self) -> bool

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

Example

use fixed::F128;

assert!(F128::MIN.is_normal());
assert!(F128::MIN_POSITIVE.is_normal());
assert!(F128::MAX.is_normal());

assert!(!F128::ZERO.is_normal());
assert!(!F128::MIN_POSITIVE_SUB.is_normal());
assert!(!F128::INFINITY.is_normal());
assert!(!F128::NAN.is_normal());

pub const 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.

Example

use core::num::FpCategory;
use fixed::F128;

assert_eq!(F128::ZERO.classify(), FpCategory::Zero);
assert_eq!(F128::MIN_POSITIVE_SUB.classify(), FpCategory::Subnormal);
assert_eq!(F128::MIN_POSITIVE.classify(), FpCategory::Normal);
assert_eq!(F128::INFINITY.classify(), FpCategory::Infinite);
assert_eq!(F128::NAN.classify(), FpCategory::Nan);

pub const fn abs(self) -> F128

Returns the absolute value of the number.

The only difference possible between the input value and the returned value is in the sign bit, which is always cleared in the return value.

Example

use fixed::F128;

// -0 == +0, but -0 bits != +0 bits
assert_eq!(F128::NEG_ZERO, F128::ZERO);
assert_ne!(F128::NEG_ZERO.to_bits(), F128::ZERO.to_bits());
assert_eq!(F128::NEG_ZERO.abs().to_bits(), F128::ZERO.to_bits());

assert_eq!(F128::NEG_INFINITY.abs(), F128::INFINITY);
assert_eq!(F128::MIN.abs(), F128::MAX);

assert!(F128::NAN.abs().is_nan());

pub const fn signum(self) -> F128

Returns a number that represents the sign of the input value.

• 1 if the number is positive, +0, or +∞
• −1 if the number is negative, −0, or −∞
• NaN if the number is NaN

Example

use fixed::F128;

assert_eq!(F128::ONE.signum(), F128::ONE);
assert_eq!(F128::INFINITY.signum(), F128::ONE);
assert_eq!(F128::NEG_ZERO.signum(), F128::NEG_ONE);
assert_eq!(F128::MIN.signum(), F128::NEG_ONE);

assert!(F128::NAN.signum().is_nan());

pub const fn copysign(self, sign: F128) -> F128

Returns a number composed of the magnitude of self and the sign of sign.

Example

use fixed::F128;

assert_eq!(F128::ONE.copysign(F128::NEG_ZERO), F128::NEG_ONE);
assert_eq!(F128::ONE.copysign(F128::ZERO), F128::ONE);
assert_eq!(F128::NEG_ONE.copysign(F128::NEG_INFINITY), F128::NEG_ONE);
assert_eq!(F128::NEG_ONE.copysign(F128::INFINITY), F128::ONE);

assert!(F128::NAN.copysign(F128::ONE).is_nan());
assert!(F128::NAN.copysign(F128::ONE).is_sign_positive());
assert!(F128::NAN.copysign(F128::NEG_ONE).is_sign_negative());

pub const fn is_sign_positive(self) -> bool

Returns true if the number has a positive sign, including +0, +∞, and NaN without a negative sign bit.

Example

use fixed::F128;

assert!(F128::ZERO.is_sign_positive());
assert!(F128::MAX.is_sign_positive());
assert!(F128::INFINITY.is_sign_positive());

assert!(!F128::NEG_ZERO.is_sign_positive());
assert!(!F128::MIN.is_sign_positive());
assert!(!F128::NEG_INFINITY.is_sign_positive());

pub const fn is_sign_negative(self) -> bool

Returns true if the number has a negative sign, including −0, −∞, and NaN with a negative sign bit.

Example

use fixed::F128;

assert!(F128::NEG_ZERO.is_sign_negative());
assert!(F128::MIN.is_sign_negative());
assert!(F128::NEG_INFINITY.is_sign_negative());

assert!(!F128::ZERO.is_sign_negative());
assert!(!F128::MAX.is_sign_negative());
assert!(!F128::INFINITY.is_sign_negative());

pub const fn max(self, other: F128) -> F128

Returns the maximum of two numbers, ignoring NaN.

If one of the arguments is NaN, then the other argument is returned.

Example

use fixed::F128;

assert_eq!(F128::ZERO.max(F128::ONE), F128::ONE);

pub const fn min(self, other: F128) -> F128

Returns the minimum of two numbers, ignoring NaN.

If one of the arguments is NaN, then the other argument is returned.

Example

use fixed::F128;

assert_eq!(F128::ZERO.min(F128::ONE), F128::ZERO);

pub const fn clamp(self, min: F128, max: F128) -> F128

Clamps the value within the specified bounds.

Returns min if self < min, max if self > max, or self otherwise.

Note that this method returns NaN if the initial value is NaN.

Panics

Panics if min > max, min is NaN, or max is NaN.

Examples

use fixed::F128;
assert_eq!(F128::MIN.clamp(F128::NEG_ONE, F128::ONE), F128::NEG_ONE);
assert_eq!(F128::ZERO.clamp(F128::NEG_ONE, F128::ONE), F128::ZERO);
assert_eq!(F128::MAX.clamp(F128::NEG_ONE, F128::ONE), F128::ONE);
assert!(F128::NAN.clamp(F128::NEG_ONE, F128::ONE).is_nan());

pub const fn total_cmp(&self, other: &F128) -> Ordering

Returns the ordering between self and other.

Unlike the PartialOrd implementation, this method always returns an order in the following sequence:

• NaN with the sign bit set
• −∞
• negative normal numbers
• negative subnormal numbers
• −0
• +0
• positive subnormal numbers
• positive normal numbers
• +∞
• NaN with the sign bit cleared

Example

use core::cmp::Ordering;
use fixed::F128;

let neg_nan = F128::NAN.copysign(F128::NEG_ONE);
let pos_nan = F128::NAN.copysign(F128::ONE);
let neg_inf = F128::NEG_INFINITY;
let pos_inf = F128::INFINITY;
let neg_zero = F128::NEG_ZERO;
let pos_zero = F128::ZERO;

assert_eq!(neg_nan.total_cmp(&neg_inf), Ordering::Less);
assert_eq!(pos_nan.total_cmp(&pos_inf), Ordering::Greater);
assert_eq!(neg_zero.total_cmp(&pos_zero), Ordering::Less);

Trait Implementations

impl<const FRAC: i32> Cast<F128> for FixedI128<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedI16<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedI32<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedI64<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedI8<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedU128<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedU16<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedU32<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedU64<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<F128> for FixedU8<FRAC>

fn cast(self) -> F128

Casts the value.

impl<const FRAC: i32> Cast<FixedI128<FRAC>> for F128

fn cast(self) -> FixedI128<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedI16<FRAC>> for F128

fn cast(self) -> FixedI16<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedI32<FRAC>> for F128

fn cast(self) -> FixedI32<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedI64<FRAC>> for F128

fn cast(self) -> FixedI64<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedI8<FRAC>> for F128

fn cast(self) -> FixedI8<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedU128<FRAC>> for F128

fn cast(self) -> FixedU128<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedU16<FRAC>> for F128

fn cast(self) -> FixedU16<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedU32<FRAC>> for F128

fn cast(self) -> FixedU32<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedU64<FRAC>> for F128

fn cast(self) -> FixedU64<FRAC>

Casts the value.

impl<const FRAC: i32> Cast<FixedU8<FRAC>> for F128

fn cast(self) -> FixedU8<FRAC>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedI128<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedI16<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedI32<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedI64<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedI8<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedU128<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedU16<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedU32<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedU64<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<F128> for FixedU8<FRAC>

fn checked_cast(self) -> Option<F128>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedI128<FRAC>> for F128

fn checked_cast(self) -> Option<FixedI128<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedI16<FRAC>> for F128

fn checked_cast(self) -> Option<FixedI16<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedI32<FRAC>> for F128

fn checked_cast(self) -> Option<FixedI32<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedI64<FRAC>> for F128

fn checked_cast(self) -> Option<FixedI64<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedI8<FRAC>> for F128

fn checked_cast(self) -> Option<FixedI8<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedU128<FRAC>> for F128

fn checked_cast(self) -> Option<FixedU128<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedU16<FRAC>> for F128

fn checked_cast(self) -> Option<FixedU16<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedU32<FRAC>> for F128

fn checked_cast(self) -> Option<FixedU32<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedU64<FRAC>> for F128

fn checked_cast(self) -> Option<FixedU64<FRAC>>

Casts the value.

impl<const FRAC: i32> CheckedCast<FixedU8<FRAC>> for F128

fn checked_cast(self) -> Option<FixedU8<FRAC>>

Casts the value.

impl Clone for F128

fn clone(&self) -> F128

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for F128

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for F128

fn default() -> F128

Returns the “default value” for a type.

impl<const FRAC: i32> From<FixedI16<FRAC>> for F128where If<{ _ }>: True,

fn from(src: FixedI16<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<const FRAC: i32> From<FixedI32<FRAC>> for F128where If<{ _ }>: True,

fn from(src: FixedI32<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<const FRAC: i32> From<FixedI64<FRAC>> for F128where If<{ _ }>: True,

fn from(src: FixedI64<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<const FRAC: i32> From<FixedI8<FRAC>> for F128where If<{ _ }>: True,

fn from(src: FixedI8<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<const FRAC: i32> From<FixedU16<FRAC>> for F128where If<{ _ }>: True,

fn from(src: FixedU16<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<const FRAC: i32> From<FixedU32<FRAC>> for F128where If<{ _ }>: True,

fn from(src: FixedU32<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<const FRAC: i32> From<FixedU64<FRAC>> for F128where If<{ _ }>: True,

fn from(src: FixedU64<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<const FRAC: i32> From<FixedU8<FRAC>> for F128where If<{ _ }>: True,

fn from(src: FixedU8<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl From<bf16> for F128

fn from(src: bf16) -> F128

Converts to this type from the input type.

impl From<f16> for F128

fn from(src: f16) -> F128

Converts to this type from the input type.

impl From<f32> for F128

fn from(src: f32) -> F128

Converts to this type from the input type.

impl From<f64> for F128

fn from(src: f64) -> F128

Converts to this type from the input type.

impl FromFixed for F128

fn from_fixed<F: Fixed>(src: F) -> Self

Converts a fixed-point number to a floating-point number.

Rounding is to the nearest, with ties rounded to even.

Panics

When debug assertions are enabled, panics if the value does not fit. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_from_fixed instead.

fn checked_from_fixed<F: Fixed>(src: F) -> Option<Self>

Converts a fixed-point number to a floating-point number if it fits, otherwise returns None.

Rounding is to the nearest, with ties rounded to even.

fn saturating_from_fixed<F: Fixed>(src: F) -> Self

Converts a fixed-point number to a floating-point number, saturating if it does not fit.

Rounding is to the nearest, with ties rounded to even.

fn wrapping_from_fixed<F: Fixed>(src: F) -> Self

Converts a fixed-point number to a floating-point number, wrapping if it does not fit.

Rounding is to the nearest, with ties rounded to even.

fn overflowing_from_fixed<F: Fixed>(src: F) -> (Self, bool)

Converts a fixed-point number to a floating-point number.

Returns a tuple of the value and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Rounding is to the nearest, with ties rounded to even.

fn unwrapped_from_fixed<F: Fixed>(src: F) -> Self

Converts a fixed-point number to a floating-point number, panicking if it does not fit.

Rounding is to the nearest, with ties rounded to even.

Panics

Panics if the value does not fit, even when debug assertions are not enabled.

impl Hash for F128

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

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<const FRAC: i32> LosslessTryFrom<FixedI16<FRAC>> for F128

fn lossless_try_from(src: FixedI16<FRAC>) -> Option<Self>

Converts a fixed-point number to a floating-point number.

This conversion may fail (fallible) but cannot lose precision (lossless). As a consequency, ∞ are −∞ are never returned, as they would lose precision.

impl<const FRAC: i32> LosslessTryFrom<FixedI32<FRAC>> for F128

fn lossless_try_from(src: FixedI32<FRAC>) -> Option<Self>

Converts a fixed-point number to a floating-point number.

This conversion may fail (fallible) but cannot lose precision (lossless). As a consequency, ∞ are −∞ are never returned, as they would lose precision.

impl<const FRAC: i32> LosslessTryFrom<FixedI64<FRAC>> for F128

fn lossless_try_from(src: FixedI64<FRAC>) -> Option<Self>

Converts a fixed-point number to a floating-point number.

This conversion may fail (fallible) but cannot lose precision (lossless). As a consequency, ∞ are −∞ are never returned, as they would lose precision.

impl<const FRAC: i32> LosslessTryFrom<FixedI8<FRAC>> for F128

fn lossless_try_from(src: FixedI8<FRAC>) -> Option<Self>

Converts a fixed-point number to a floating-point number.

This conversion may fail (fallible) but cannot lose precision (lossless). As a consequency, ∞ are −∞ are never returned, as they would lose precision.

impl<const FRAC: i32> LosslessTryFrom<FixedU16<FRAC>> for F128

fn lossless_try_from(src: FixedU16<FRAC>) -> Option<Self>

Converts a fixed-point number to a floating-point number.

This conversion may fail (fallible) but cannot lose precision (lossless). As a consequency, ∞ are −∞ are never returned, as they would lose precision.

impl<const FRAC: i32> LosslessTryFrom<FixedU32<FRAC>> for F128

fn lossless_try_from(src: FixedU32<FRAC>) -> Option<Self>

Converts a fixed-point number to a floating-point number.

This conversion may fail (fallible) but cannot lose precision (lossless). As a consequency, ∞ are −∞ are never returned, as they would lose precision.

impl<const FRAC: i32> LosslessTryFrom<FixedU64<FRAC>> for F128

fn lossless_try_from(src: FixedU64<FRAC>) -> Option<Self>

Converts a fixed-point number to a floating-point number.

This conversion may fail (fallible) but cannot lose precision (lossless). As a consequency, ∞ are −∞ are never returned, as they would lose precision.

impl<const FRAC: i32> LosslessTryFrom<FixedU8<FRAC>> for F128

fn lossless_try_from(src: FixedU8<FRAC>) -> Option<Self>

Converts a fixed-point number to a floating-point number.

This conversion may fail (fallible) but cannot lose precision (lossless). As a consequency, ∞ are −∞ are never returned, as they would lose precision.

impl LosslessTryFrom<i16> for F128

fn lossless_try_from(src: i16) -> Option<F128>

Converts an integer to a floating-point number.

This conversion actually never fails (infallible) and does not lose precision (lossless).

impl LosslessTryFrom<i32> for F128

fn lossless_try_from(src: i32) -> Option<F128>

Converts an integer to a floating-point number.

This conversion actually never fails (infallible) and does not lose precision (lossless).

impl LosslessTryFrom<i64> for F128

fn lossless_try_from(src: i64) -> Option<F128>

Converts an integer to a floating-point number.

This conversion actually never fails (infallible) and does not lose precision (lossless).

impl LosslessTryFrom<i8> for F128

fn lossless_try_from(src: i8) -> Option<F128>

Converts an integer to a floating-point number.

This conversion actually never fails (infallible) and does not lose precision (lossless).

impl LosslessTryFrom<u16> for F128

fn lossless_try_from(src: u16) -> Option<F128>

Converts an integer to a floating-point number.

This conversion actually never fails (infallible) and does not lose precision (lossless).

impl LosslessTryFrom<u32> for F128

fn lossless_try_from(src: u32) -> Option<F128>

Converts an integer to a floating-point number.

This conversion actually never fails (infallible) and does not lose precision (lossless).

impl LosslessTryFrom<u64> for F128

fn lossless_try_from(src: u64) -> Option<F128>

Converts an integer to a floating-point number.

This conversion actually never fails (infallible) and does not lose precision (lossless).

impl LosslessTryFrom<u8> for F128

fn lossless_try_from(src: u8) -> Option<F128>

Converts an integer to a floating-point number.

This conversion actually never fails (infallible) and does not lose precision (lossless).

impl<const FRAC: i32> LossyFrom<FixedI128<FRAC>> for F128

fn lossy_from(src: FixedI128<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedI16<FRAC>> for F128

fn lossy_from(src: FixedI16<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedI32<FRAC>> for F128

fn lossy_from(src: FixedI32<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedI64<FRAC>> for F128

fn lossy_from(src: FixedI64<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedI8<FRAC>> for F128

fn lossy_from(src: FixedI8<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedU128<FRAC>> for F128

fn lossy_from(src: FixedU128<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedU16<FRAC>> for F128

fn lossy_from(src: FixedU16<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedU32<FRAC>> for F128

fn lossy_from(src: FixedU32<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedU64<FRAC>> for F128

fn lossy_from(src: FixedU64<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<const FRAC: i32> LossyFrom<FixedU8<FRAC>> for F128

fn lossy_from(src: FixedU8<FRAC>) -> Self

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl LossyFrom<i128> for F128

fn lossy_from(src: i128) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl LossyFrom<i16> for F128

fn lossy_from(src: i16) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) and actually does not lose precision (lossless).

impl LossyFrom<i32> for F128

fn lossy_from(src: i32) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) and actually does not lose precision (lossless).

impl LossyFrom<i64> for F128

fn lossy_from(src: i64) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) and actually does not lose precision (lossless).

impl LossyFrom<i8> for F128

fn lossy_from(src: i8) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) and actually does not lose precision (lossless).

impl LossyFrom<isize> for F128

fn lossy_from(src: isize) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl LossyFrom<u128> for F128

fn lossy_from(src: u128) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl LossyFrom<u16> for F128

fn lossy_from(src: u16) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) and actually does not lose precision (lossless).

impl LossyFrom<u32> for F128

fn lossy_from(src: u32) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) and actually does not lose precision (lossless).

impl LossyFrom<u64> for F128

fn lossy_from(src: u64) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) and actually does not lose precision (lossless).

impl LossyFrom<u8> for F128

fn lossy_from(src: u8) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) and actually does not lose precision (lossless).

impl LossyFrom<usize> for F128

fn lossy_from(src: usize) -> F128

Converts an integer to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl Neg for F128

type Output = F128

The resulting type after applying the - operator.

fn neg(self) -> F128

Performs the unary - operation.

impl<const FRAC: i32> OverflowingCast<F128> for FixedI128<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedI16<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedI32<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedI64<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedI8<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedU128<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedU16<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedU32<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedU64<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<F128> for FixedU8<FRAC>

fn overflowing_cast(self) -> (F128, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedI128<FRAC>> for F128

fn overflowing_cast(self) -> (FixedI128<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedI16<FRAC>> for F128

fn overflowing_cast(self) -> (FixedI16<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedI32<FRAC>> for F128

fn overflowing_cast(self) -> (FixedI32<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedI64<FRAC>> for F128

fn overflowing_cast(self) -> (FixedI64<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedI8<FRAC>> for F128

fn overflowing_cast(self) -> (FixedI8<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedU128<FRAC>> for F128

fn overflowing_cast(self) -> (FixedU128<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedU16<FRAC>> for F128

fn overflowing_cast(self) -> (FixedU16<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedU32<FRAC>> for F128

fn overflowing_cast(self) -> (FixedU32<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedU64<FRAC>> for F128

fn overflowing_cast(self) -> (FixedU64<FRAC>, bool)

Casts the value.

impl<const FRAC: i32> OverflowingCast<FixedU8<FRAC>> for F128

fn overflowing_cast(self) -> (FixedU8<FRAC>, bool)

Casts the value.

impl PartialEq<F128> for F128

fn eq(&self, other: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedI128<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedI16<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedI32<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedI64<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedI8<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedU128<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedU16<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedU32<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedU64<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<F128> for FixedU8<FRAC>

fn eq(&self, rhs: &F128) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedI128<FRAC>> for F128

fn eq(&self, rhs: &FixedI128<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedI16<FRAC>> for F128

fn eq(&self, rhs: &FixedI16<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedI32<FRAC>> for F128

fn eq(&self, rhs: &FixedI32<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedI64<FRAC>> for F128

fn eq(&self, rhs: &FixedI64<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedI8<FRAC>> for F128

fn eq(&self, rhs: &FixedI8<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedU128<FRAC>> for F128

fn eq(&self, rhs: &FixedU128<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedU16<FRAC>> for F128

fn eq(&self, rhs: &FixedU16<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedU32<FRAC>> for F128

fn eq(&self, rhs: &FixedU32<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedU64<FRAC>> for F128

fn eq(&self, rhs: &FixedU64<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialEq<FixedU8<FRAC>> for F128

fn eq(&self, rhs: &FixedU8<FRAC>) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl PartialOrd<F128> for F128

fn partial_cmp(&self, other: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedI128<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedI16<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedI32<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedI64<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedI8<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedU128<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedU16<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedU32<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedU64<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<F128> for FixedU8<FRAC>

fn partial_cmp(&self, rhs: &F128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedI128<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedI128<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedI16<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedI16<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedI32<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedI32<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedI64<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedI64<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedI8<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedI8<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedU128<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedU128<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedU16<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedU16<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedU32<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedU32<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedU64<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedU64<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> PartialOrd<FixedU8<FRAC>> for F128

fn partial_cmp(&self, rhs: &FixedU8<FRAC>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

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

impl<const FRAC: i32> SaturatingCast<F128> for FixedI128<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedI16<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedI32<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedI64<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedI8<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedU128<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedU16<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedU32<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedU64<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<F128> for FixedU8<FRAC>

fn saturating_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedI128<FRAC>> for F128

fn saturating_cast(self) -> FixedI128<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedI16<FRAC>> for F128

fn saturating_cast(self) -> FixedI16<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedI32<FRAC>> for F128

fn saturating_cast(self) -> FixedI32<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedI64<FRAC>> for F128

fn saturating_cast(self) -> FixedI64<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedI8<FRAC>> for F128

fn saturating_cast(self) -> FixedI8<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedU128<FRAC>> for F128

fn saturating_cast(self) -> FixedU128<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedU16<FRAC>> for F128

fn saturating_cast(self) -> FixedU16<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedU32<FRAC>> for F128

fn saturating_cast(self) -> FixedU32<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedU64<FRAC>> for F128

fn saturating_cast(self) -> FixedU64<FRAC>

Casts the value.

impl<const FRAC: i32> SaturatingCast<FixedU8<FRAC>> for F128

fn saturating_cast(self) -> FixedU8<FRAC>

Casts the value.

impl ToFixed for F128

fn to_fixed<F: Fixed>(self) -> F

Converts a floating-point number to a fixed-point number.

Rounding is to the nearest, with ties rounded to even.

Panics

Panics if self is not finite.

When debug assertions are enabled, also panics if the value does not fit. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_to_fixed instead.

fn checked_to_fixed<F: Fixed>(self) -> Option<F>

Converts a floating-point number to a fixed-point number if it fits, otherwise returns None.

Rounding is to the nearest, with ties rounded to even.

fn saturating_to_fixed<F: Fixed>(self) -> F

Converts a floating-point number to a fixed-point number, saturating if it does not fit.

Rounding is to the nearest, with ties rounded to even.

Panics

Panics if self is NaN.

fn wrapping_to_fixed<F: Fixed>(self) -> F

Converts a floating-point number to a fixed-point number, wrapping if it does not fit.

Rounding is to the nearest, with ties rounded to even.

Panics

Panics if self is not finite.

fn overflowing_to_fixed<F: Fixed>(self) -> (F, bool)

Converts a floating-point number to a fixed-point number.

Returns a tuple of the fixed-point number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Rounding is to the nearest, with ties rounded to even.

Panics

Panics if self is not finite.

fn unwrapped_to_fixed<F: Fixed>(self) -> F

Converts a floating-point number to a fixed-point number, panicking if it does not fit.

Rounding is to the nearest, with ties rounded to even.

Panics

Panics if self is not finite or if the value does not fit, even when debug assertions are not enabled.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedI128<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedI16<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedI32<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedI64<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedI8<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedU128<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedU16<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedU32<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedU64<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<F128> for FixedU8<FRAC>

fn unwrapped_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedI128<FRAC>> for F128

fn unwrapped_cast(self) -> FixedI128<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedI16<FRAC>> for F128

fn unwrapped_cast(self) -> FixedI16<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedI32<FRAC>> for F128

fn unwrapped_cast(self) -> FixedI32<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedI64<FRAC>> for F128

fn unwrapped_cast(self) -> FixedI64<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedI8<FRAC>> for F128

fn unwrapped_cast(self) -> FixedI8<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedU128<FRAC>> for F128

fn unwrapped_cast(self) -> FixedU128<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedU16<FRAC>> for F128

fn unwrapped_cast(self) -> FixedU16<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedU32<FRAC>> for F128

fn unwrapped_cast(self) -> FixedU32<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedU64<FRAC>> for F128

fn unwrapped_cast(self) -> FixedU64<FRAC>

Casts the value.

impl<const FRAC: i32> UnwrappedCast<FixedU8<FRAC>> for F128

fn unwrapped_cast(self) -> FixedU8<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedI128<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedI16<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedI32<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedI64<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedI8<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedU128<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedU16<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedU32<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedU64<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<F128> for FixedU8<FRAC>

fn wrapping_cast(self) -> F128

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedI128<FRAC>> for F128

fn wrapping_cast(self) -> FixedI128<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedI16<FRAC>> for F128

fn wrapping_cast(self) -> FixedI16<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedI32<FRAC>> for F128

fn wrapping_cast(self) -> FixedI32<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedI64<FRAC>> for F128

fn wrapping_cast(self) -> FixedI64<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedI8<FRAC>> for F128

fn wrapping_cast(self) -> FixedI8<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedU128<FRAC>> for F128

fn wrapping_cast(self) -> FixedU128<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedU16<FRAC>> for F128

fn wrapping_cast(self) -> FixedU16<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedU32<FRAC>> for F128

fn wrapping_cast(self) -> FixedU32<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedU64<FRAC>> for F128

fn wrapping_cast(self) -> FixedU64<FRAC>

Casts the value.

impl<const FRAC: i32> WrappingCast<FixedU8<FRAC>> for F128

fn wrapping_cast(self) -> FixedU8<FRAC>

Casts the value.

impl Copy for F128