Float in num_traits::float - Rust
Description: Generic trait for floating point numbers
Keywords: rust, rustlang, rust-lang, Float

# Trait num_traits::float::Float

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    pub trait Float: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
    Show 58 methods    fn nan() -> Self;
        fn infinity() -> Self;
        fn neg_infinity() -> Self;
        fn neg_zero() -> Self;
        fn min_value() -> Self;
        fn min_positive_value() -> Self;
        fn max_value() -> Self;
        fn is_nan(self) -> bool;
        fn is_infinite(self) -> bool;
        fn is_finite(self) -> bool;
        fn is_normal(self) -> bool;
        fn classify(self) -> FpCategory;
        fn floor(self) -> Self;
        fn ceil(self) -> Self;
        fn round(self) -> Self;
        fn trunc(self) -> Self;
        fn fract(self) -> Self;
        fn abs(self) -> Self;
        fn signum(self) -> Self;
        fn is_sign_positive(self) -> bool;
        fn is_sign_negative(self) -> bool;
        fn mul_add(self, a: Self, b: Self) -> Self;
        fn recip(self) -> Self;
        fn powi(self, n: i32) -> Self;
        fn powf(self, n: Self) -> Self;
        fn sqrt(self) -> Self;
        fn exp(self) -> Self;
        fn exp2(self) -> Self;
        fn ln(self) -> Self;
        fn log(self, base: Self) -> Self;
        fn log2(self) -> Self;
        fn log10(self) -> Self;
        fn max(self, other: Self) -> Self;
        fn min(self, other: Self) -> Self;
        fn abs_sub(self, other: Self) -> Self;
        fn cbrt(self) -> Self;
        fn hypot(self, other: Self) -> Self;
        fn sin(self) -> Self;
        fn cos(self) -> Self;
        fn tan(self) -> Self;
        fn asin(self) -> Self;
        fn acos(self) -> Self;
        fn atan(self) -> Self;
        fn atan2(self, other: Self) -> Self;
        fn sin_cos(self) -> (Self, Self);
        fn exp_m1(self) -> Self;
        fn ln_1p(self) -> Self;
        fn sinh(self) -> Self;
        fn cosh(self) -> Self;
        fn tanh(self) -> Self;
        fn asinh(self) -> Self;
        fn acosh(self) -> Self;
        fn atanh(self) -> Self;
        fn integer_decode(self) -> (u64, i16, i8);

        fn epsilon() -> Self { ... }
        fn to_degrees(self) -> Self { ... }
        fn to_radians(self) -> Self { ... }
        fn copysign(self, sign: Self) -> Self { ... }
    }

Expand description

Generic trait for floating point numbers

This trait is only available with the `std` feature, or with the `libm` feature otherwise.

## Required Methods§

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#### fn nan() -> Self

Returns the `NaN` value.

    use num_traits::Float;

    let nan: f32 = Float::nan();

    assert!(nan.is_nan());

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#### fn infinity() -> Self

Returns the infinite value.

    use num_traits::Float;
    use std::f32;

    let infinity: f32 = Float::infinity();

    assert!(infinity.is_infinite());
    assert!(!infinity.is_finite());
    assert!(infinity > f32::MAX);

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#### fn neg_infinity() -> Self

Returns the negative infinite value.

    use num_traits::Float;
    use std::f32;

    let neg_infinity: f32 = Float::neg_infinity();

    assert!(neg_infinity.is_infinite());
    assert!(!neg_infinity.is_finite());
    assert!(neg_infinity < f32::MIN);

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#### fn neg_zero() -> Self

Returns `-0.0`.

    use num_traits::{Zero, Float};

    let inf: f32 = Float::infinity();
    let zero: f32 = Zero::zero();
    let neg_zero: f32 = Float::neg_zero();

    assert_eq!(zero, neg_zero);
    assert_eq!(7.0f32/inf, zero);
    assert_eq!(zero * 10.0, zero);

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#### fn min_value() -> Self

Returns the smallest finite value that this type can represent.

    use num_traits::Float;
    use std::f64;

    let x: f64 = Float::min_value();

    assert_eq!(x, f64::MIN);

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#### fn min_positive_value() -> Self

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

    use num_traits::Float;
    use std::f64;

    let x: f64 = Float::min_positive_value();

    assert_eq!(x, f64::MIN_POSITIVE);

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#### fn max_value() -> Self

Returns the largest finite value that this type can represent.

    use num_traits::Float;
    use std::f64;

    let x: f64 = Float::max_value();
    assert_eq!(x, f64::MAX);

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#### fn is_nan(self) -> bool

Returns `true` if this value is `NaN` and false otherwise.

    use num_traits::Float;
    use std::f64;

    let nan = f64::NAN;
    let f = 7.0;

    assert!(nan.is_nan());
    assert!(!f.is_nan());

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#### fn is_infinite(self) -> bool

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

    use num_traits::Float;
    use std::f32;

    let f = 7.0f32;
    let inf: f32 = Float::infinity();
    let neg_inf: f32 = Float::neg_infinity();
    let nan: f32 = f32::NAN;

    assert!(!f.is_infinite());
    assert!(!nan.is_infinite());

    assert!(inf.is_infinite());
    assert!(neg_inf.is_infinite());

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#### fn is_finite(self) -> bool

Returns `true` if this number is neither infinite nor `NaN`.

    use num_traits::Float;
    use std::f32;

    let f = 7.0f32;
    let inf: f32 = Float::infinity();
    let neg_inf: f32 = Float::neg_infinity();
    let nan: f32 = f32::NAN;

    assert!(f.is_finite());

    assert!(!nan.is_finite());
    assert!(!inf.is_finite());
    assert!(!neg_inf.is_finite());

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#### fn is_normal(self) -> bool

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

    use num_traits::Float;
    use std::f32;

    let min = f32::MIN_POSITIVE; // 1.17549435e-38f32
    let max = f32::MAX;
    let lower_than_min = 1.0e-40_f32;
    let zero = 0.0f32;

    assert!(min.is_normal());
    assert!(max.is_normal());

    assert!(!zero.is_normal());
    assert!(!f32::NAN.is_normal());
    assert!(!f32::INFINITY.is_normal());
    // Values between `0` and `min` are Subnormal.
    assert!(!lower_than_min.is_normal());

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#### fn classify(self) -> FpCategory

Returns the floating point category of the number. If only one property is going to be tested, it is generally faster to use the specific predicate instead.

    use num_traits::Float;
    use std::num::FpCategory;
    use std::f32;

    let num = 12.4f32;
    let inf = f32::INFINITY;

    assert_eq!(num.classify(), FpCategory::Normal);
    assert_eq!(inf.classify(), FpCategory::Infinite);

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#### fn floor(self) -> Self

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

    use num_traits::Float;

    let f = 3.99;
    let g = 3.0;

    assert_eq!(f.floor(), 3.0);
    assert_eq!(g.floor(), 3.0);

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#### fn ceil(self) -> Self

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

    use num_traits::Float;

    let f = 3.01;
    let g = 4.0;

    assert_eq!(f.ceil(), 4.0);
    assert_eq!(g.ceil(), 4.0);

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#### fn round(self) -> Self

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

    use num_traits::Float;

    let f = 3.3;
    let g = -3.3;

    assert_eq!(f.round(), 3.0);
    assert_eq!(g.round(), -3.0);

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#### fn trunc(self) -> Self

Return the integer part of a number.

    use num_traits::Float;

    let f = 3.3;
    let g = -3.7;

    assert_eq!(f.trunc(), 3.0);
    assert_eq!(g.trunc(), -3.0);

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#### fn fract(self) -> Self

Returns the fractional part of a number.

    use num_traits::Float;

    let x = 3.5;
    let y = -3.5;
    let abs_difference_x = (x.fract() - 0.5).abs();
    let abs_difference_y = (y.fract() - (-0.5)).abs();

    assert!(abs_difference_x < 1e-10);
    assert!(abs_difference_y < 1e-10);

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#### fn abs(self) -> Self

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

    use num_traits::Float;
    use std::f64;

    let x = 3.5;
    let y = -3.5;

    let abs_difference_x = (x.abs() - x).abs();
    let abs_difference_y = (y.abs() - (-y)).abs();

    assert!(abs_difference_x < 1e-10);
    assert!(abs_difference_y < 1e-10);

    assert!(f64::NAN.abs().is_nan());

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#### fn signum(self) -> Self

Returns a number that represents the sign of `self`.

- `1.0` if the number is positive, `+0.0` or `Float::infinity()`
- `-1.0` if the number is negative, `-0.0` or `Float::neg_infinity()`
- `Float::nan()` if the number is `Float::nan()`

    use num_traits::Float;
    use std::f64;

    let f = 3.5;

    assert_eq!(f.signum(), 1.0);
    assert_eq!(f64::NEG_INFINITY.signum(), -1.0);

    assert!(f64::NAN.signum().is_nan());

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#### 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()`.

    use num_traits::Float;
    use std::f64;

    let neg_nan: f64 = -f64::NAN;

    let f = 7.0;
    let g = -7.0;

    assert!(f.is_sign_positive());
    assert!(!g.is_sign_positive());
    assert!(!neg_nan.is_sign_positive());

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#### 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()`.

    use num_traits::Float;
    use std::f64;

    let nan: f64 = f64::NAN;

    let f = 7.0;
    let g = -7.0;

    assert!(!f.is_sign_negative());
    assert!(g.is_sign_negative());
    assert!(!nan.is_sign_negative());

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

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

Using `mul_add` can be more performant than an unfused multiply-add if the target architecture has a dedicated `fma` CPU instruction.

    use num_traits::Float;

    let m = 10.0;
    let x = 4.0;
    let b = 60.0;

    // 100.0
    let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();

    assert!(abs_difference < 1e-10);

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#### fn recip(self) -> Self

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

    use num_traits::Float;

    let x = 2.0;
    let abs_difference = (x.recip() - (1.0/x)).abs();

    assert!(abs_difference < 1e-10);

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

Raise a number to an integer power.

Using this function is generally faster than using `powf`

    use num_traits::Float;

    let x = 2.0;
    let abs_difference = (x.powi(2) - x*x).abs();

    assert!(abs_difference < 1e-10);

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

Raise a number to a floating point power.

    use num_traits::Float;

    let x = 2.0;
    let abs_difference = (x.powf(2.0) - x*x).abs();

    assert!(abs_difference < 1e-10);

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#### fn sqrt(self) -> Self

Take the square root of a number.

Returns NaN if `self` is a negative number.

    use num_traits::Float;

    let positive = 4.0;
    let negative = -4.0;

    let abs_difference = (positive.sqrt() - 2.0).abs();

    assert!(abs_difference < 1e-10);
    assert!(negative.sqrt().is_nan());

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#### fn exp(self) -> Self

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

    use num_traits::Float;

    let one = 1.0;
    // e^1
    let e = one.exp();

    // ln(e) - 1 == 0
    let abs_difference = (e.ln() - 1.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn exp2(self) -> Self

Returns `2^(self)`.

    use num_traits::Float;

    let f = 2.0;

    // 2^2 - 4 == 0
    let abs_difference = (f.exp2() - 4.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn ln(self) -> Self

Returns the natural logarithm of the number.

    use num_traits::Float;

    let one = 1.0;
    // e^1
    let e = one.exp();

    // ln(e) - 1 == 0
    let abs_difference = (e.ln() - 1.0).abs();

    assert!(abs_difference < 1e-10);

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

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

    use num_traits::Float;

    let ten = 10.0;
    let two = 2.0;

    // log10(10) - 1 == 0
    let abs_difference_10 = (ten.log(10.0) - 1.0).abs();

    // log2(2) - 1 == 0
    let abs_difference_2 = (two.log(2.0) - 1.0).abs();

    assert!(abs_difference_10 < 1e-10);
    assert!(abs_difference_2 < 1e-10);

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#### fn log2(self) -> Self

Returns the base 2 logarithm of the number.

    use num_traits::Float;

    let two = 2.0;

    // log2(2) - 1 == 0
    let abs_difference = (two.log2() - 1.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn log10(self) -> Self

Returns the base 10 logarithm of the number.

    use num_traits::Float;

    let ten = 10.0;

    // log10(10) - 1 == 0
    let abs_difference = (ten.log10() - 1.0).abs();

    assert!(abs_difference < 1e-10);

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

Returns the maximum of the two numbers.

    use num_traits::Float;

    let x = 1.0;
    let y = 2.0;

    assert_eq!(x.max(y), y);

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

Returns the minimum of the two numbers.

    use num_traits::Float;

    let x = 1.0;
    let y = 2.0;

    assert_eq!(x.min(y), x);

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

The positive difference of two numbers.

- If `self <= other`: `0:0`
- Else: `self - other`

    use num_traits::Float;

    let x = 3.0;
    let y = -3.0;

    let abs_difference_x = (x.abs_sub(1.0) - 2.0).abs();
    let abs_difference_y = (y.abs_sub(1.0) - 0.0).abs();

    assert!(abs_difference_x < 1e-10);
    assert!(abs_difference_y < 1e-10);

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#### fn cbrt(self) -> Self

Take the cubic root of a number.

    use num_traits::Float;

    let x = 8.0;

    // x^(1/3) - 2 == 0
    let abs_difference = (x.cbrt() - 2.0).abs();

    assert!(abs_difference < 1e-10);

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

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

    use num_traits::Float;

    let x = 2.0;
    let y = 3.0;

    // sqrt(x^2 + y^2)
    let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs();

    assert!(abs_difference < 1e-10);

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#### fn sin(self) -> Self

Computes the sine of a number (in radians).

    use num_traits::Float;
    use std::f64;

    let x = f64::consts::PI/2.0;

    let abs_difference = (x.sin() - 1.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn cos(self) -> Self

Computes the cosine of a number (in radians).

    use num_traits::Float;
    use std::f64;

    let x = 2.0*f64::consts::PI;

    let abs_difference = (x.cos() - 1.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn tan(self) -> Self

Computes the tangent of a number (in radians).

    use num_traits::Float;
    use std::f64;

    let x = f64::consts::PI/4.0;
    let abs_difference = (x.tan() - 1.0).abs();

    assert!(abs_difference < 1e-14);

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#### fn asin(self) -> Self

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

    use num_traits::Float;
    use std::f64;

    let f = f64::consts::PI / 2.0;

    // asin(sin(pi/2))
    let abs_difference = (f.sin().asin() - f64::consts::PI / 2.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn acos(self) -> Self

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

    use num_traits::Float;
    use std::f64;

    let f = f64::consts::PI / 4.0;

    // acos(cos(pi/4))
    let abs_difference = (f.cos().acos() - f64::consts::PI / 4.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn atan(self) -> Self

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

    use num_traits::Float;

    let f = 1.0;

    // atan(tan(1))
    let abs_difference = (f.tan().atan() - 1.0).abs();

    assert!(abs_difference < 1e-10);

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

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

- `x = 0`, `y = 0`: `0`
- `x >= 0`: `arctan(y/x)` -> `[-pi/2, pi/2]`
- `y >= 0`: `arctan(y/x) + pi` -> `(pi/2, pi]`
- `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)`

    use num_traits::Float;
    use std::f64;

    let pi = f64::consts::PI;
    // All angles from horizontal right (+x)
    // 45 deg counter-clockwise
    let x1 = 3.0;
    let y1 = -3.0;

    // 135 deg clockwise
    let x2 = -3.0;
    let y2 = 3.0;

    let abs_difference_1 = (y1.atan2(x1) - (-pi/4.0)).abs();
    let abs_difference_2 = (y2.atan2(x2) - 3.0*pi/4.0).abs();

    assert!(abs_difference_1 < 1e-10);
    assert!(abs_difference_2 < 1e-10);

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

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

    use num_traits::Float;
    use std::f64;

    let x = f64::consts::PI/4.0;
    let f = x.sin_cos();

    let abs_difference_0 = (f.0 - x.sin()).abs();
    let abs_difference_1 = (f.1 - x.cos()).abs();

    assert!(abs_difference_0 < 1e-10);
    assert!(abs_difference_0 < 1e-10);

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#### fn exp_m1(self) -> Self

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

    use num_traits::Float;

    let x = 7.0;

    // e^(ln(7)) - 1
    let abs_difference = (x.ln().exp_m1() - 6.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn ln_1p(self) -> Self

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

    use num_traits::Float;
    use std::f64;

    let x = f64::consts::E - 1.0;

    // ln(1 + (e - 1)) == ln(e) == 1
    let abs_difference = (x.ln_1p() - 1.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn sinh(self) -> Self

Hyperbolic sine function.

    use num_traits::Float;
    use std::f64;

    let e = f64::consts::E;
    let x = 1.0;

    let f = x.sinh();
    // Solving sinh() at 1 gives `(e^2-1)/(2e)`
    let g = (e*e - 1.0)/(2.0*e);
    let abs_difference = (f - g).abs();

    assert!(abs_difference < 1e-10);

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#### fn cosh(self) -> Self

Hyperbolic cosine function.

    use num_traits::Float;
    use std::f64;

    let e = f64::consts::E;
    let x = 1.0;
    let f = x.cosh();
    // Solving cosh() at 1 gives this result
    let g = (e*e + 1.0)/(2.0*e);
    let abs_difference = (f - g).abs();

    // Same result
    assert!(abs_difference < 1.0e-10);

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#### fn tanh(self) -> Self

Hyperbolic tangent function.

    use num_traits::Float;
    use std::f64;

    let e = f64::consts::E;
    let x = 1.0;

    let f = x.tanh();
    // Solving tanh() at 1 gives `(1 - e^(-2))/(1 + e^(-2))`
    let g = (1.0 - e.powi(-2))/(1.0 + e.powi(-2));
    let abs_difference = (f - g).abs();

    assert!(abs_difference < 1.0e-10);

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#### fn asinh(self) -> Self

Inverse hyperbolic sine function.

    use num_traits::Float;

    let x = 1.0;
    let f = x.sinh().asinh();

    let abs_difference = (f - x).abs();

    assert!(abs_difference < 1.0e-10);

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#### fn acosh(self) -> Self

Inverse hyperbolic cosine function.

    use num_traits::Float;

    let x = 1.0;
    let f = x.cosh().acosh();

    let abs_difference = (f - x).abs();

    assert!(abs_difference < 1.0e-10);

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#### fn atanh(self) -> Self

Inverse hyperbolic tangent function.

    use num_traits::Float;
    use std::f64;

    let e = f64::consts::E;
    let f = e.tanh().atanh();

    let abs_difference = (f - e).abs();

    assert!(abs_difference < 1.0e-10);

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

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

    use num_traits::Float;

    let num = 2.0f32;

    // (8388608, -22, 1)
    let (mantissa, exponent, sign) = Float::integer_decode(num);
    let sign_f = sign as f32;
    let mantissa_f = mantissa as f32;
    let exponent_f = num.powf(exponent as f32);

    // 1 * 8388608 * 2^(-22) == 2
    let abs_difference = (sign_f * mantissa_f * exponent_f - num).abs();

    assert!(abs_difference < 1e-10);

## Provided Methods§

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#### fn epsilon() -> Self

Returns epsilon, a small positive value.

    use num_traits::Float;
    use std::f64;

    let x: f64 = Float::epsilon();

    assert_eq!(x, f64::EPSILON);

##### Panics

The default implementation will panic if `f32::EPSILON` cannot be cast to `Self`.

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#### fn to_degrees(self) -> Self

Converts radians to degrees.

    use std::f64::consts;

    let angle = consts::PI;

    let abs_difference = (angle.to_degrees() - 180.0).abs();

    assert!(abs_difference < 1e-10);

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#### fn to_radians(self) -> Self

Converts degrees to radians.

    use std::f64::consts;

    let angle = 180.0_f64;

    let abs_difference = (angle.to_radians() - consts::PI).abs();

    assert!(abs_difference < 1e-10);

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#### fn copysign(self, sign: Self) -> Self

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

Equal to `self` if the sign of `self` and `sign` are the same, otherwise equal to `-self`. If `self` is a `NAN`, then a `NAN` with the sign of `sign` is returned.

##### Examples

    use num_traits::Float;

    let f = 3.5_f32;

    assert_eq!(f.copysign(0.42), 3.5_f32);
    assert_eq!(f.copysign(-0.42), -3.5_f32);
    assert_eq!((-f).copysign(0.42), 3.5_f32);
    assert_eq!((-f).copysign(-0.42), -3.5_f32);

    assert!(f32::nan().copysign(1.0).is_nan());

## Implementations on Foreign Types§

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### impl Float for f32

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#### fn nan() -> Self

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#### fn infinity() -> Self

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#### fn neg_infinity() -> Self

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#### fn neg_zero() -> Self

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#### fn min_value() -> Self

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#### fn min_positive_value() -> Self

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#### fn epsilon() -> Self

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#### fn max_value() -> Self

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

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#### fn fract(self) -> Self

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

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#### fn is_nan(self) -> bool

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#### fn is_infinite(self) -> bool

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#### fn is_finite(self) -> bool

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#### fn is_normal(self) -> bool

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#### fn classify(self) -> FpCategory

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#### fn signum(self) -> Self

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#### fn is_sign_positive(self) -> bool

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#### fn is_sign_negative(self) -> bool

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#### fn recip(self) -> Self

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

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#### fn to_degrees(self) -> Self

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#### fn to_radians(self) -> Self

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

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#### fn floor(self) -> Self

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#### fn ceil(self) -> Self

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#### fn round(self) -> Self

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#### fn trunc(self) -> Self

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#### fn abs(self) -> Self

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

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

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#### fn sqrt(self) -> Self

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#### fn exp(self) -> Self

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#### fn exp2(self) -> Self

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#### fn ln(self) -> Self

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#### fn log2(self) -> Self

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#### fn log10(self) -> Self

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#### fn cbrt(self) -> Self

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

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#### fn sin(self) -> Self

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#### fn cos(self) -> Self

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#### fn tan(self) -> Self

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#### fn asin(self) -> Self

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#### fn acos(self) -> Self

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#### fn atan(self) -> Self

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

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

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#### fn exp_m1(self) -> Self

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#### fn ln_1p(self) -> Self

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#### fn sinh(self) -> Self

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#### fn cosh(self) -> Self

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#### fn tanh(self) -> Self

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#### fn asinh(self) -> Self

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#### fn acosh(self) -> Self

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#### fn atanh(self) -> Self

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

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

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#### fn copysign(self, other: Self) -> Self

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### impl Float for f64

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#### fn nan() -> Self

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#### fn infinity() -> Self

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#### fn neg_infinity() -> Self

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#### fn neg_zero() -> Self

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#### fn min_value() -> Self

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#### fn min_positive_value() -> Self

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#### fn epsilon() -> Self

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#### fn max_value() -> Self

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

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#### fn fract(self) -> Self

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

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#### fn is_nan(self) -> bool

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#### fn is_infinite(self) -> bool

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#### fn is_finite(self) -> bool

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#### fn is_normal(self) -> bool

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#### fn classify(self) -> FpCategory

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#### fn signum(self) -> Self

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#### fn is_sign_positive(self) -> bool

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#### fn is_sign_negative(self) -> bool

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#### fn recip(self) -> Self

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

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#### fn to_degrees(self) -> Self

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#### fn to_radians(self) -> Self

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

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#### fn floor(self) -> Self

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#### fn ceil(self) -> Self

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#### fn round(self) -> Self

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#### fn trunc(self) -> Self

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#### fn abs(self) -> Self

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

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

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#### fn sqrt(self) -> Self

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#### fn exp(self) -> Self

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#### fn exp2(self) -> Self

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#### fn ln(self) -> Self

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#### fn log2(self) -> Self

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#### fn log10(self) -> Self

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#### fn cbrt(self) -> Self

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

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#### fn sin(self) -> Self

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#### fn cos(self) -> Self

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#### fn tan(self) -> Self

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#### fn asin(self) -> Self

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#### fn acos(self) -> Self

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#### fn atan(self) -> Self

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

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

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#### fn exp_m1(self) -> Self

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#### fn ln_1p(self) -> Self

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#### fn sinh(self) -> Self

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#### fn cosh(self) -> Self

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#### fn tanh(self) -> Self

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#### fn asinh(self) -> Self

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#### fn acosh(self) -> Self

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#### fn atanh(self) -> Self

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

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

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#### fn copysign(self, sign: Self) -> Self

## Implementors§