Struct noisy_float::NoisyFloat

#[repr(transparent)]pub struct NoisyFloat<F: Float, C: FloatChecker<F>> { /* fields omitted */ }

A floating point number with a restricted set of legal values.

Typical users will not need to access this struct directly, but can instead use the type aliases found in the module noisy_float::types. However, this struct together with a FloatChecker implementation can be used to define custom behavior.

The underlying float type is F, usually f32 or f64. Valid values for the float are determined by the float checker C. If an invalid value would ever be returned from a method on this type, the method will panic instead, using either assert! or debug_assert! as defined by the float checker. The exception to this rule is for methods that return an Option containing a NoisyFloat, in which case the result would be None if the value is invalid.

Implementations

impl NoisyFloat<f32, NumChecker>

pub const fn unchecked_new(value: f32) -> Self

A const constructor that does not check whether value is valid.

WARNING: This constructor does not panic even in debug mode. As always, it is the user’s responsibility to ensure value is valid. Until Rust supports panics in const functions, this constructor is necessary to create a NoisyFloat in a const setting.

pub const fn const_raw(self) -> f32

A const function that returns the underlying float value.

impl NoisyFloat<f64, NumChecker>

pub const fn unchecked_new(value: f64) -> Self

A const constructor that does not check whether value is valid.

WARNING: This constructor does not panic even in debug mode. As always, it is the user’s responsibility to ensure value is valid. Until Rust supports panics in const functions, this constructor is necessary to create a NoisyFloat in a const setting.

pub const fn const_raw(self) -> f64

A const function that returns the underlying float value.

impl NoisyFloat<f32, FiniteChecker>

pub const fn unchecked_new(value: f32) -> Self

A const constructor that does not check whether value is valid.

WARNING: This constructor does not panic even in debug mode. As always, it is the user’s responsibility to ensure value is valid. Until Rust supports panics in const functions, this constructor is necessary to create a NoisyFloat in a const setting.

pub const fn const_raw(self) -> f32

A const function that returns the underlying float value.

impl NoisyFloat<f64, FiniteChecker>

pub const fn unchecked_new(value: f64) -> Self

A const constructor that does not check whether value is valid.

WARNING: This constructor does not panic even in debug mode. As always, it is the user’s responsibility to ensure value is valid. Until Rust supports panics in const functions, this constructor is necessary to create a NoisyFloat in a const setting.

pub const fn const_raw(self) -> f64

A const function that returns the underlying float value.

impl<F: Float, C: FloatChecker<F>> NoisyFloat<F, C>

pub fn new(value: F) -> Self

Constructs a NoisyFloat with the given value.

Uses the FloatChecker to assert that the value is valid.

pub fn try_new(value: F) -> Option<Self>

Tries to construct a NoisyFloat with the given value.

Returns None if the value is invalid.

pub fn borrowed(value: &F) -> &Self

Converts the value in-place to a reference to a NoisyFloat.

Uses the FloatChecker to assert that the value is valid.

pub fn try_borrowed(value: &F) -> Option<&Self>

Tries to convert the value in-place to a reference to a NoisyFloat.

Returns None if the value is invalid.

pub fn borrowed_mut(value: &mut F) -> &mut Self

Converts the value in-place to a mutable reference to a NoisyFloat.

Uses the FloatChecker to assert that the value is valid.

pub fn try_borrowed_mut(value: &mut F) -> Option<&mut Self>

Tries to convert the value in-place to a mutable reference to a NoisyFloat.

Returns None if the value is invalid.

pub fn from_f32(value: f32) -> Self

Constructs a NoisyFloat with the given f32 value.

May panic not only by the FloatChecker but also by unwrapping the result of a NumCast invocation for type F, although the later should not occur in normal situations.

pub fn from_f64(value: f64) -> Self

Constructs a NoisyFloat with the given f64 value.

May panic not only by the FloatChecker but also by unwrapping the result of a NumCast invocation for type F, although the later should not occur in normal situations.

pub fn raw(self) -> F

Returns the underlying float value.

pub fn min(self, other: Self) -> Self

Compares and returns the minimum of two values.

This method exists to disambiguate between num_traits::Float.min and std::cmp::Ord.min.

pub fn max(self, other: Self) -> Self

Compares and returns the maximum of two values.

This method exists to disambiguate between num_traits::Float.max and std::cmp::Ord.max.

Trait Implementations

impl<'a, F: Float, C: FloatChecker<F>> Add<&'a F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the + operator.

fn add(self, rhs: &'a F) -> Self

Performs the + operation.

impl<'a, F: Float, C: FloatChecker<F>> Add<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the + operator.

fn add(self, rhs: &'a Self) -> Self

Performs the + operation.

impl<F: Float, C: FloatChecker<F>> Add<F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the + operator.

fn add(self, rhs: F) -> Self

Performs the + operation.

impl<F: Float, C: FloatChecker<F>> Add<NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the + operator.

fn add(self, rhs: Self) -> Self

Performs the + operation.

impl<'a, F: Float + AddAssign, C: FloatChecker<F>> AddAssign<&'a F> for NoisyFloat<F, C>

fn add_assign(&mut self, rhs: &'a F)

Performs the += operation.

impl<'a, F: Float + AddAssign, C: FloatChecker<F>> AddAssign<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

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

Performs the += operation.

impl<F: Float + AddAssign, C: FloatChecker<F>> AddAssign<F> for NoisyFloat<F, C>

fn add_assign(&mut self, rhs: F)

Performs the += operation.

impl<F: Float + AddAssign, C: FloatChecker<F>> AddAssign<NoisyFloat<F, C>> for NoisyFloat<F, C>

fn add_assign(&mut self, rhs: Self)

Performs the += operation.

impl<F: Float, C: FloatChecker<F>> AsRef<F> for NoisyFloat<F, C>

fn as_ref(&self) -> &F

Performs the conversion.

impl<F: Float + Bounded, C: FloatChecker<F>> Bounded for NoisyFloat<F, C>

fn min_value() -> Self

returns the smallest finite number this type can represent

fn max_value() -> Self

returns the largest finite number this type can represent

impl<F: Float, C: FloatChecker<F>> Clone for NoisyFloat<F, C>

fn clone(&self) -> Self

Returns a copy of the value.

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

Performs copy-assignment from source.

impl<F: Float, C: FloatChecker<F>> Copy for NoisyFloat<F, C>

impl<F: Float + Debug, C: FloatChecker<F>> Debug for NoisyFloat<F, C>

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

Formats the value using the given formatter.

impl<F: Float + Default, C: FloatChecker<F>> Default for NoisyFloat<F, C>

fn default() -> Self

Returns the “default value” for a type.

impl<F: Float + Display, C: FloatChecker<F>> Display for NoisyFloat<F, C>

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

Formats the value using the given formatter.

impl<'a, F: Float, C: FloatChecker<F>> Div<&'a F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the / operator.

fn div(self, rhs: &'a F) -> Self

Performs the / operation.

impl<'a, F: Float, C: FloatChecker<F>> Div<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the / operator.

fn div(self, rhs: &'a Self) -> Self

Performs the / operation.

impl<F: Float, C: FloatChecker<F>> Div<F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the / operator.

fn div(self, rhs: F) -> Self

Performs the / operation.

impl<F: Float, C: FloatChecker<F>> Div<NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the / operator.

fn div(self, rhs: Self) -> Self

Performs the / operation.

impl<'a, F: Float + DivAssign, C: FloatChecker<F>> DivAssign<&'a F> for NoisyFloat<F, C>

fn div_assign(&mut self, rhs: &'a F)

Performs the /= operation.

impl<'a, F: Float + DivAssign, C: FloatChecker<F>> DivAssign<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

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

Performs the /= operation.

impl<F: Float + DivAssign, C: FloatChecker<F>> DivAssign<F> for NoisyFloat<F, C>

fn div_assign(&mut self, rhs: F)

Performs the /= operation.

impl<F: Float + DivAssign, C: FloatChecker<F>> DivAssign<NoisyFloat<F, C>> for NoisyFloat<F, C>

fn div_assign(&mut self, rhs: Self)

Performs the /= operation.

impl<F: Float, C: FloatChecker<F>> Eq for NoisyFloat<F, C>

impl<F: Float, C: FloatChecker<F>> Float for NoisyFloat<F, C>

fn nan() -> Self

Returns the NaN value.

fn infinity() -> Self

Returns the infinite value.

fn neg_infinity() -> Self

Returns the negative infinite value.

fn neg_zero() -> Self

Returns -0.0.

fn min_value() -> Self

Returns the smallest finite value that this type can represent.

fn min_positive_value() -> Self

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

fn max_value() -> Self

Returns the largest finite value that this type can represent.

fn is_nan(self) -> bool

Returns true if this value is NaN and false otherwise.

fn is_infinite(self) -> bool

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

fn is_finite(self) -> bool

Returns true if this number is neither infinite nor NaN.

fn is_normal(self) -> bool

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

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.

fn floor(self) -> Self

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

fn ceil(self) -> Self

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

fn round(self) -> Self

Returns the nearest integer to a number. Round half-way cases away from 0.0.

fn trunc(self) -> Self

Return the integer part of a number.

fn fract(self) -> Self

Returns the fractional part of a number.

fn abs(self) -> Self

Computes the absolute value of self. Returns Float::nan() if the number is Float::nan().

fn signum(self) -> Self

Returns a number that represents the sign of self.

fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0, Float::infinity(), and since Rust 1.20 also Float::nan().

fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0, Float::neg_infinity(), and since Rust 1.20 also -Float::nan().

fn mul_add(self, a: Self, b: Self) -> Self

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

fn recip(self) -> Self

Take the reciprocal (inverse) of a number, 1/x.

fn powi(self, n: i32) -> Self

Raise a number to an integer power.

fn powf(self, n: Self) -> Self

Raise a number to a floating point power.

fn sqrt(self) -> Self

Take the square root of a number.

fn exp(self) -> Self

Returns e^(self), (the exponential function).

fn exp2(self) -> Self

Returns 2^(self).

fn ln(self) -> Self

Returns the natural logarithm of the number.

fn log(self, base: Self) -> Self

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

fn log2(self) -> Self

Returns the base 2 logarithm of the number.

fn log10(self) -> Self

Returns the base 10 logarithm of the number.

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

Returns the maximum of the two numbers.

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

Returns the minimum of the two numbers.

fn abs_sub(self, other: Self) -> Self

The positive difference of two numbers.

fn cbrt(self) -> Self

Take the cubic root of a number.

fn hypot(self, other: Self) -> Self

Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y.

fn sin(self) -> Self

Computes the sine of a number (in radians).

fn cos(self) -> Self

Computes the cosine of a number (in radians).

fn tan(self) -> Self

Computes the tangent of a number (in radians).

fn asin(self) -> Self

Computes the arcsine of a number. Return value is in radians in the range [-pi/2, pi/2] or NaN if the number is outside the range [-1, 1].

fn acos(self) -> Self

Computes the arccosine of a number. Return value is in radians in the range [0, pi] or NaN if the number is outside the range [-1, 1].

fn atan(self) -> Self

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

fn atan2(self, other: Self) -> Self

Computes the four quadrant arctangent of self (y) and other (x).

fn sin_cos(self) -> (Self, Self)

Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)).

fn exp_m1(self) -> Self

Returns e^(self) - 1 in a way that is accurate even if the number is close to zero.

fn ln_1p(self) -> Self

Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately.

fn sinh(self) -> Self

Hyperbolic sine function.

fn cosh(self) -> Self

Hyperbolic cosine function.

fn tanh(self) -> Self

Hyperbolic tangent function.

fn asinh(self) -> Self

Inverse hyperbolic sine function.

fn acosh(self) -> Self

Inverse hyperbolic cosine function.

fn atanh(self) -> Self

Inverse hyperbolic tangent function.

fn integer_decode(self) -> (u64, i16, i8)

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

fn epsilon() -> Self

Returns epsilon, a small positive value.

fn to_degrees(self) -> Self

Converts radians to degrees.

fn to_radians(self) -> Self

Converts degrees to radians.

impl<F: Float + FloatConst, C: FloatChecker<F>> FloatConst for NoisyFloat<F, C>

fn E() -> Self

Return Euler’s number.

fn FRAC_1_PI() -> Self

Return 1.0 / π.

fn FRAC_1_SQRT_2() -> Self

Return 1.0 / sqrt(2.0).

fn FRAC_2_PI() -> Self

Return 2.0 / π.

fn FRAC_2_SQRT_PI() -> Self

Return 2.0 / sqrt(π).

fn FRAC_PI_2() -> Self

Return π / 2.0.

fn FRAC_PI_3() -> Self

Return π / 3.0.

fn FRAC_PI_4() -> Self

Return π / 4.0.

fn FRAC_PI_6() -> Self

Return π / 6.0.

fn FRAC_PI_8() -> Self

Return π / 8.0.

fn LN_10() -> Self

Return ln(10.0).

fn LN_2() -> Self

Return ln(2.0).

fn LOG10_E() -> Self

Return log10(e).

fn LOG2_E() -> Self

Return log2(e).

fn PI() -> Self

Return Archimedes’ constant π.

fn SQRT_2() -> Self

Return sqrt(2.0).

pub fn TAU() -> Self where
    Self: Add<Self, Output = Self>, 

Return the full circle constant τ.

pub fn LOG10_2() -> Self where
    Self: Div<Self, Output = Self>, 

Return log10(2.0).

pub fn LOG2_10() -> Self where
    Self: Div<Self, Output = Self>, 

Return log2(10.0).

impl<F: Float> From<NoisyFloat<F, FiniteChecker>> for NoisyFloat<F, NumChecker>

fn from(value: NoisyFloat<F, FiniteChecker>) -> Self

Performs the conversion.

impl<F: Float + FromPrimitive, C: FloatChecker<F>> FromPrimitive for NoisyFloat<F, C>

fn from_isize(n: isize) -> Option<Self>

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

fn from_i8(n: i8) -> Option<Self>

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

fn from_i16(n: i16) -> Option<Self>

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

fn from_i32(n: i32) -> Option<Self>

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

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

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

fn from_i128(n: i128) -> Option<Self>

Converts an i128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_usize(n: usize) -> Option<Self>

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

fn from_u8(n: u8) -> Option<Self>

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

fn from_u16(n: u16) -> Option<Self>

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

fn from_u32(n: u32) -> Option<Self>

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

fn from_u64(n: u64) -> Option<Self>

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

fn from_u128(n: u128) -> Option<Self>

Converts an u128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f32(n: f32) -> Option<Self>

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

fn from_f64(n: f64) -> Option<Self>

Converts a f64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

impl<C: FloatChecker<f32>> Hash for NoisyFloat<f32, C>

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

Feeds this value into the given Hasher.

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

Feeds a slice of this type into the given Hasher.

impl<C: FloatChecker<f64>> Hash for NoisyFloat<f64, C>

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

Feeds this value into the given Hasher.

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

Feeds a slice of this type into the given Hasher.

impl<F: Float + LowerExp, C: FloatChecker<F>> LowerExp for NoisyFloat<F, C>

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

Formats the value using the given formatter.

impl<'a, F: Float, C: FloatChecker<F>> Mul<&'a F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the * operator.

fn mul(self, rhs: &'a F) -> Self

Performs the * operation.

impl<'a, F: Float, C: FloatChecker<F>> Mul<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the * operator.

fn mul(self, rhs: &'a Self) -> Self

Performs the * operation.

impl<F: Float, C: FloatChecker<F>> Mul<F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the * operator.

fn mul(self, rhs: F) -> Self

Performs the * operation.

impl<F: Float, C: FloatChecker<F>> Mul<NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the * operator.

fn mul(self, rhs: Self) -> Self

Performs the * operation.

impl<'a, F: Float + MulAssign, C: FloatChecker<F>> MulAssign<&'a F> for NoisyFloat<F, C>

fn mul_assign(&mut self, rhs: &'a F)

Performs the *= operation.

impl<'a, F: Float + MulAssign, C: FloatChecker<F>> MulAssign<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

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

Performs the *= operation.

impl<F: Float + MulAssign, C: FloatChecker<F>> MulAssign<F> for NoisyFloat<F, C>

fn mul_assign(&mut self, rhs: F)

Performs the *= operation.

impl<F: Float + MulAssign, C: FloatChecker<F>> MulAssign<NoisyFloat<F, C>> for NoisyFloat<F, C>

fn mul_assign(&mut self, rhs: Self)

Performs the *= operation.

impl<F: Float, C: FloatChecker<F>> Neg for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl<'a, F: Float, C: FloatChecker<F>> Neg for &'a NoisyFloat<F, C>

type Output = NoisyFloat<F, C>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<F: Float, C: FloatChecker<F>> Num for NoisyFloat<F, C>

type FromStrRadixErr = F::FromStrRadixErr

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

Convert from a string and radix (typically 2..=36).

impl<F: Float, C: FloatChecker<F>> NumCast for NoisyFloat<F, C>

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

Creates a number from another value that can be converted into a primitive via the ToPrimitive trait. If the source value cannot be represented by the target type, then None is returned.

impl<F: Float, C: FloatChecker<F>> One for NoisyFloat<F, C>

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

pub fn set_one(&mut self)

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

pub fn is_one(&self) -> bool where
    Self: PartialEq<Self>, 

Returns true if self is equal to the multiplicative identity.

impl<F: Float, C: FloatChecker<F>> Ord for NoisyFloat<F, C>

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

This method returns an Ordering between self and other.

#[must_use]pub fn max(self, other: Self) -> Self

Compares and returns the maximum of two values.

#[must_use]pub fn min(self, other: Self) -> Self

Compares and returns the minimum of two values.

#[must_use]pub fn clamp(self, min: Self, max: Self) -> Self

Restrict a value to a certain interval.

impl<F: Float, C: FloatChecker<F>> PartialEq<F> for NoisyFloat<F, C>

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

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

#[must_use]pub fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<F: Float, C: FloatChecker<F>> PartialEq<NoisyFloat<F, C>> for NoisyFloat<F, C>

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

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

#[must_use]pub fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<F: Float, C: FloatChecker<F>> PartialOrd<F> for NoisyFloat<F, C>

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

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

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

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

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

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

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

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

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

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

impl<F: Float, C: FloatChecker<F>> PartialOrd<NoisyFloat<F, C>> for NoisyFloat<F, C>

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

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

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

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

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

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

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

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

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

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

impl<'a, F: Float, C: FloatChecker<F>> Product<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

fn product<I>(iter: I) -> Self where
    I: Iterator<Item = &'a Self>, 

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl<F: Float, C: FloatChecker<F>> Product<NoisyFloat<F, C>> for NoisyFloat<F, C>

fn product<I>(iter: I) -> Self where
    I: Iterator<Item = Self>, 

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl<'a, F: Float, C: FloatChecker<F>> Rem<&'a F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the % operator.

fn rem(self, rhs: &'a F) -> Self

Performs the % operation.

impl<'a, F: Float, C: FloatChecker<F>> Rem<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the % operator.

fn rem(self, rhs: &'a Self) -> Self

Performs the % operation.

impl<F: Float, C: FloatChecker<F>> Rem<F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the % operator.

fn rem(self, rhs: F) -> Self

Performs the % operation.

impl<F: Float, C: FloatChecker<F>> Rem<NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the % operator.

fn rem(self, rhs: Self) -> Self

Performs the % operation.

impl<'a, F: Float + RemAssign, C: FloatChecker<F>> RemAssign<&'a F> for NoisyFloat<F, C>

fn rem_assign(&mut self, rhs: &'a F)

Performs the %= operation.

impl<'a, F: Float + RemAssign, C: FloatChecker<F>> RemAssign<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

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

Performs the %= operation.

impl<F: Float + RemAssign, C: FloatChecker<F>> RemAssign<F> for NoisyFloat<F, C>

fn rem_assign(&mut self, rhs: F)

Performs the %= operation.

impl<F: Float + RemAssign, C: FloatChecker<F>> RemAssign<NoisyFloat<F, C>> for NoisyFloat<F, C>

fn rem_assign(&mut self, rhs: Self)

Performs the %= operation.

impl<F: Float + Signed, C: FloatChecker<F>> Signed for NoisyFloat<F, C>

fn abs(&self) -> Self

Computes the absolute value.

fn abs_sub(&self, other: &Self) -> Self

The positive difference of two numbers.

fn signum(&self) -> Self

Returns the sign of the number.

fn is_positive(&self) -> bool

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

fn is_negative(&self) -> bool

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

impl<'a, F: Float, C: FloatChecker<F>> Sub<&'a F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the - operator.

fn sub(self, rhs: &'a F) -> Self

Performs the - operation.

impl<'a, F: Float, C: FloatChecker<F>> Sub<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the - operator.

fn sub(self, rhs: &'a Self) -> Self

Performs the - operation.

impl<F: Float, C: FloatChecker<F>> Sub<F> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the - operator.

fn sub(self, rhs: F) -> Self

Performs the - operation.

impl<F: Float, C: FloatChecker<F>> Sub<NoisyFloat<F, C>> for NoisyFloat<F, C>

type Output = Self

The resulting type after applying the - operator.

fn sub(self, rhs: Self) -> Self

Performs the - operation.

impl<'a, F: Float + SubAssign, C: FloatChecker<F>> SubAssign<&'a F> for NoisyFloat<F, C>

fn sub_assign(&mut self, rhs: &'a F)

Performs the -= operation.

impl<'a, F: Float + SubAssign, C: FloatChecker<F>> SubAssign<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

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

Performs the -= operation.

impl<F: Float + SubAssign, C: FloatChecker<F>> SubAssign<F> for NoisyFloat<F, C>

fn sub_assign(&mut self, rhs: F)

Performs the -= operation.

impl<F: Float + SubAssign, C: FloatChecker<F>> SubAssign<NoisyFloat<F, C>> for NoisyFloat<F, C>

fn sub_assign(&mut self, rhs: Self)

Performs the -= operation.

impl<'a, F: Float, C: FloatChecker<F>> Sum<&'a NoisyFloat<F, C>> for NoisyFloat<F, C>

fn sum<I>(iter: I) -> Self where
    I: Iterator<Item = &'a Self>, 

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl<F: Float, C: FloatChecker<F>> Sum<NoisyFloat<F, C>> for NoisyFloat<F, C>

fn sum<I>(iter: I) -> Self where
    I: Iterator<Item = Self>, 

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl<F: Float, C: FloatChecker<F>> ToPrimitive for NoisyFloat<F, C>

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

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

fn to_u64(&self) -> Option<u64>

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

fn to_isize(&self) -> Option<isize>

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

fn to_i8(&self) -> Option<i8>

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

fn to_i16(&self) -> Option<i16>

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

fn to_i32(&self) -> Option<i32>

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

fn to_usize(&self) -> Option<usize>

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

fn to_u8(&self) -> Option<u8>

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

fn to_u16(&self) -> Option<u16>

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

fn to_u32(&self) -> Option<u32>

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

fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f32.

fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f64.

pub fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned.

pub fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned.

impl<C: FloatChecker<f32>> TryFrom<f32> for NoisyFloat<f32, C>

type Error = &'static str

The type returned in the event of a conversion error.

fn try_from(f: f32) -> Result<Self, Self::Error>

Performs the conversion.

impl<C: FloatChecker<f64>> TryFrom<f64> for NoisyFloat<f64, C>

type Error = &'static str

The type returned in the event of a conversion error.

fn try_from(f: f64) -> Result<Self, Self::Error>

Performs the conversion.

impl<F: Float + UpperExp, C: FloatChecker<F>> UpperExp for NoisyFloat<F, C>

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

Formats the value using the given formatter.

impl<F: Float, C: FloatChecker<F>> Zero for NoisyFloat<F, C>

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

pub fn set_zero(&mut self)

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