Trait decorum::Real

source · [−]

pub trait Real: Copy + Neg<Output = Self> + Num + PartialOrd + Signed {
Show 16 associated constants and 34 methods
    const E: Self;
    const PI: Self;
    const FRAC_1_PI: Self;
    const FRAC_2_PI: Self;
    const FRAC_2_SQRT_PI: Self;
    const FRAC_PI_2: Self;
    const FRAC_PI_3: Self;
    const FRAC_PI_4: Self;
    const FRAC_PI_6: Self;
    const FRAC_PI_8: Self;
    const SQRT_2: Self;
    const FRAC_1_SQRT_2: Self;
    const LN_2: Self;
    const LN_10: Self;
    const LOG2_E: Self;
    const LOG10_E: Self;

    fn floor(self) -> Self;
    fn ceil(self) -> Self;
    fn round(self) -> Self;
    fn trunc(self) -> Self;
    fn fract(self) -> Self;
    fn recip(self) -> Self;
    fn mul_add(self, a: Self, b: Self) -> Self;
    fn powi(self, n: i32) -> Self;
    fn powf(self, n: Self) -> Self;
    fn sqrt(self) -> Self;
    fn cbrt(self) -> Self;
    fn exp(self) -> Self;
    fn exp2(self) -> Self;
    fn exp_m1(self) -> Self;
    fn log(self, base: Self) -> Self;
    fn ln(self) -> Self;
    fn log2(self) -> Self;
    fn log10(self) -> Self;
    fn ln_1p(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 sinh(self) -> Self;
    fn cosh(self) -> Self;
    fn tanh(self) -> Self;
    fn asinh(self) -> Self;
    fn acosh(self) -> Self;
    fn atanh(self) -> Self;
}

Expand description

Types that can represent real numbers.

Provides values and operations that generally apply to real numbers. As such, this trait is implemented by types using floating-point representations, but this trait is a general numeric trait and can be implemented by other numeric types as well.

Some members of this trait depend on the standard library and the std feature.

Required Associated Constants

const E: Self

const PI: Self

const FRAC_1_PI: Self

const FRAC_2_PI: Self

const FRAC_2_SQRT_PI: Self

const FRAC_PI_2: Self

const FRAC_PI_3: Self

const FRAC_PI_4: Self

const FRAC_PI_6: Self

const FRAC_PI_8: Self

const SQRT_2: Self

const FRAC_1_SQRT_2: Self

const LN_2: Self

const LN_10: Self

const LOG2_E: Self

const LOG10_E: Self

Required Methods

fn floor(self) -> Self

fn ceil(self) -> Self

fn round(self) -> Self

fn trunc(self) -> Self

fn fract(self) -> Self

fn recip(self) -> Self

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

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

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

fn sqrt(self) -> Self

fn cbrt(self) -> Self

fn exp(self) -> Self

fn exp2(self) -> Self

fn exp_m1(self) -> Self

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

fn ln(self) -> Self

fn log2(self) -> Self

fn log10(self) -> Self

fn ln_1p(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 sinh(self) -> Self

fn cosh(self) -> Self

fn tanh(self) -> Self

fn asinh(self) -> Self

fn acosh(self) -> Self

fn atanh(self) -> Self

Implementations on Foreign Types

impl Real for f32

const E: Self = 2.71828175f32

const PI: Self = 3.14159274f32

const FRAC_1_PI: Self = 0.318309873f32

const FRAC_2_PI: Self = 0.636619746f32

const FRAC_2_SQRT_PI: Self = 1.12837923f32

const FRAC_PI_2: Self = 1.57079637f32

const FRAC_PI_3: Self = 1.04719758f32

const FRAC_PI_4: Self = 0.785398185f32

const FRAC_PI_6: Self = 0.52359879f32

const FRAC_PI_8: Self = 0.392699093f32

const SQRT_2: Self = 1.41421354f32

const FRAC_1_SQRT_2: Self = 0.707106769f32

const LN_2: Self = 0.693147182f32

const LN_10: Self = 2.30258512f32

const LOG2_E: Self = 1.44269502f32

const LOG10_E: Self = 0.434294492f32

fn floor(self) -> Self

fn ceil(self) -> Self

fn round(self) -> Self

fn trunc(self) -> Self

fn fract(self) -> Self

fn recip(self) -> Self

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

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

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

fn sqrt(self) -> Self

fn cbrt(self) -> Self

fn exp(self) -> Self

fn exp2(self) -> Self

fn exp_m1(self) -> Self

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

fn ln(self) -> Self

fn log2(self) -> Self

fn log10(self) -> Self

fn ln_1p(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 sinh(self) -> Self

fn cosh(self) -> Self

fn tanh(self) -> Self

fn asinh(self) -> Self

fn acosh(self) -> Self

fn atanh(self) -> Self

impl Real for f64

const E: Self = 2.7182818284590451f64

const PI: Self = 3.1415926535897931f64

const FRAC_1_PI: Self = 0.31830988618379069f64

const FRAC_2_PI: Self = 0.63661977236758138f64

const FRAC_2_SQRT_PI: Self = 1.1283791670955126f64

const FRAC_PI_2: Self = 1.5707963267948966f64

const FRAC_PI_3: Self = 1.0471975511965979f64

const FRAC_PI_4: Self = 0.78539816339744828f64

const FRAC_PI_6: Self = 0.52359877559829893f64

const FRAC_PI_8: Self = 0.39269908169872414f64

const SQRT_2: Self = 1.4142135623730951f64

const FRAC_1_SQRT_2: Self = 0.70710678118654757f64

const LN_2: Self = 0.69314718055994529f64

const LN_10: Self = 2.3025850929940459f64

const LOG2_E: Self = 1.4426950408889634f64

const LOG10_E: Self = 0.43429448190325182f64

fn floor(self) -> Self

fn ceil(self) -> Self

fn round(self) -> Self

fn trunc(self) -> Self

fn fract(self) -> Self

fn recip(self) -> Self

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

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

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

fn sqrt(self) -> Self

fn cbrt(self) -> Self

fn exp(self) -> Self

fn exp2(self) -> Self

fn exp_m1(self) -> Self

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

fn ln(self) -> Self

fn log2(self) -> Self

fn log10(self) -> Self

fn ln_1p(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 sinh(self) -> Self

fn cosh(self) -> Self

fn tanh(self) -> Self

fn asinh(self) -> Self

fn acosh(self) -> Self

fn atanh(self) -> Self

Implementors

impl<T, P> Real for ConstrainedFloat<T, P> where
T: Float + Primitive,
P: Constraint<T>,

const E: Self = ConstrainedFloat::from_inner_unchecked(Real::E)

const PI: Self = ConstrainedFloat::from_inner_unchecked(Real::PI)

const FRAC_1_PI: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_1_PI)

const FRAC_2_PI: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_2_PI)

const FRAC_2_SQRT_PI: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_2_SQRT_PI)

const FRAC_PI_2: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_PI_2)

const FRAC_PI_3: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_PI_3)

const FRAC_PI_4: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_PI_4)

const FRAC_PI_6: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_PI_6)

const FRAC_PI_8: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_PI_8)

const SQRT_2: Self = ConstrainedFloat::from_inner_unchecked(Real::SQRT_2)

const FRAC_1_SQRT_2: Self = ConstrainedFloat::from_inner_unchecked(Real::FRAC_1_SQRT_2)

const LN_2: Self = ConstrainedFloat::from_inner_unchecked(Real::LN_2)

const LN_10: Self = ConstrainedFloat::from_inner_unchecked(Real::LN_10)

const LOG2_E: Self = ConstrainedFloat::from_inner_unchecked(Real::LOG2_E)

const LOG10_E: Self = ConstrainedFloat::from_inner_unchecked(Real::LOG10_E)