competitive::num

Trait Float

pub trait Float:
    Copy
    + Default
    + Display
    + FromStr
    + PartialEq
    + PartialOrd
    + Zero
    + One
    + Bounded
    + Add<Output = Self>
    + Sub<Output = Self>
    + Mul<Output = Self>
    + Div<Output = Self>
    + Neg<Output = Self>
    + Rem<Output = Self> {
Show 31 associated constants and 54 methods
    const RADIX: u32;
    const MANTISSA_DIGITS: u32;
    const DIGITS: u32;
    const EPSILON: Self;
    const MIN: Self;
    const MIN_POSITIVE: Self;
    const MAX: Self;
    const MIN_EXP: i32;
    const MAX_EXP: i32;
    const MIN_10_EXP: i32;
    const MAX_10_EXP: i32;
    const NAN: Self;
    const INFINITY: Self;
    const NEG_INFINITY: Self;
    const PI: Self;
    const TAU: 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 FRAC_1_PI: Self;
    const FRAC_2_PI: Self;
    const FRAC_2_SQRT_PI: Self;
    const SQRT_2: Self;
    const FRAC_1_SQRT_2: Self;
    const E: Self;
    const LOG2_E: Self;
    const LOG10_E: Self;
    const LN_2: Self;
    const LN_10: Self;

    // Required methods
    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 copysign(self, sign: Self) -> Self;
    fn mul_add(self, a: Self, b: Self) -> Self;
    fn div_euclid(self, rhs: Self) -> Self;
    fn rem_euclid(self, rhs: 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 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 is_nan(self) -> bool;
    fn is_infinite(self) -> bool;
    fn is_finite(self) -> bool;
    fn is_normal(self) -> bool;
    fn classify(self) -> FpCategory;
    fn is_sign_positive(self) -> bool;
    fn is_sign_negative(self) -> bool;
    fn recip(self) -> Self;
    fn to_degrees(self) -> Self;
    fn to_radians(self) -> Self;
    fn max(self, other: Self) -> Self;
    fn min(self, other: Self) -> Self;
    fn to_bits(self) -> u64;
    fn from_bits(v: u64) -> Self;
    fn total_cmp(&self, other: &Self) -> Ordering;
    fn clamp(self, min: Self, max: Self) -> Self;
}

Required Associated Constants§

const RADIX: u32

const MANTISSA_DIGITS: u32

const DIGITS: u32

const EPSILON: Self

const MIN: Self

const MIN_POSITIVE: Self

const MAX: Self

const MIN_EXP: i32

const MAX_EXP: i32

const MIN_10_EXP: i32

const MAX_10_EXP: i32

const NAN: Self

const INFINITY: Self

const NEG_INFINITY: Self

const PI: Self

const TAU: 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 FRAC_1_PI: Self

const FRAC_2_PI: Self

const FRAC_2_SQRT_PI: Self

const SQRT_2: Self

const FRAC_1_SQRT_2: Self

const E: Self

const LOG2_E: Self

const LOG10_E: Self

const LN_2: Self

const LN_10: Self

Required Methods§

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 copysign(self, sign: Self) -> Self

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

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

fn rem_euclid(self, rhs: 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 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 is_nan(self) -> bool

fn is_infinite(self) -> bool

fn is_finite(self) -> bool

fn is_normal(self) -> bool

fn classify(self) -> FpCategory

fn is_sign_positive(self) -> bool

fn is_sign_negative(self) -> bool

fn recip(self) -> Self

fn to_degrees(self) -> Self

fn to_radians(self) -> Self

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

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

fn to_bits(self) -> u64

fn from_bits(v: u64) -> Self

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

fn clamp(self, min: Self, max: Self) -> Self

Dyn Compatibility§

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementations on Foreign Types§

impl Float for f32

const RADIX: u32 = 2u32

const MANTISSA_DIGITS: u32 = 24u32

const DIGITS: u32 = 6u32

const EPSILON: Self = 1.1920929E-7f32

const MIN: Self = -3.40282347E+38f32

const MIN_POSITIVE: Self = 1.17549435E-38f32

const MAX: Self = 3.40282347E+38f32

const MIN_EXP: i32 = -125i32

const MAX_EXP: i32 = 128i32

const MIN_10_EXP: i32 = -37i32

const MAX_10_EXP: i32 = 38i32

const NAN: Self = NaN_f32

const INFINITY: Self = +Inf_f32

const NEG_INFINITY: Self = -Inf_f32

const PI: Self = 3.14159274f32

const TAU: Self = 6.28318548f32

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 FRAC_1_PI: Self = 0.318309873f32

const FRAC_2_PI: Self = 0.636619746f32

const FRAC_2_SQRT_PI: Self = 1.12837923f32

const SQRT_2: Self = 1.41421354f32

const FRAC_1_SQRT_2: Self = 0.707106769f32

const E: Self = 2.71828175f32

const LOG2_E: Self = 1.44269502f32

const LOG10_E: Self = 0.434294492f32

const LN_2: Self = 0.693147182f32

const LN_10: Self = 2.30258512f32

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 copysign(self, sign: Self) -> Self

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

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

fn rem_euclid(self, rhs: 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 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 is_nan(self) -> bool

fn is_infinite(self) -> bool

fn is_finite(self) -> bool

fn is_normal(self) -> bool

fn classify(self) -> FpCategory

fn is_sign_positive(self) -> bool

fn is_sign_negative(self) -> bool

fn recip(self) -> Self

fn to_degrees(self) -> Self

fn to_radians(self) -> Self

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

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

fn to_bits(self) -> u64

fn from_bits(v: u64) -> Self

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

fn clamp(self, min: Self, max: Self) -> Self

impl Float for f64

const RADIX: u32 = 2u32

const MANTISSA_DIGITS: u32 = 53u32

const DIGITS: u32 = 15u32

const EPSILON: Self = 2.2204460492503131E-16f64

const MIN: Self = -1.7976931348623157E+308f64

const MIN_POSITIVE: Self = 2.2250738585072014E-308f64

const MAX: Self = 1.7976931348623157E+308f64

const MIN_EXP: i32 = -1_021i32

const MAX_EXP: i32 = 1_024i32

const MIN_10_EXP: i32 = -307i32

const MAX_10_EXP: i32 = 308i32

const NAN: Self = NaN_f64

const INFINITY: Self = +Inf_f64

const NEG_INFINITY: Self = -Inf_f64

const PI: Self = 3.1415926535897931f64

const TAU: Self = 6.2831853071795862f64

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 FRAC_1_PI: Self = 0.31830988618379069f64

const FRAC_2_PI: Self = 0.63661977236758138f64

const FRAC_2_SQRT_PI: Self = 1.1283791670955126f64

const SQRT_2: Self = 1.4142135623730951f64

const FRAC_1_SQRT_2: Self = 0.70710678118654757f64

const E: Self = 2.7182818284590451f64

const LOG2_E: Self = 1.4426950408889634f64

const LOG10_E: Self = 0.43429448190325182f64

const LN_2: Self = 0.69314718055994529f64

const LN_10: Self = 2.3025850929940459f64

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 copysign(self, sign: Self) -> Self

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

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

fn rem_euclid(self, rhs: 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 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 is_nan(self) -> bool

fn is_infinite(self) -> bool

fn is_finite(self) -> bool

fn is_normal(self) -> bool

fn classify(self) -> FpCategory

fn is_sign_positive(self) -> bool

fn is_sign_negative(self) -> bool

fn recip(self) -> Self

fn to_degrees(self) -> Self

fn to_radians(self) -> Self

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

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

fn to_bits(self) -> u64

fn from_bits(v: u64) -> Self

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

fn clamp(self, min: Self, max: Self) -> Self

Implementors§

impl Float for Float32

const RADIX: u32 = 2u32

const MANTISSA_DIGITS: u32 = 24u32

const DIGITS: u32 = 6u32

const EPSILON: Self

const MIN: Self

const MIN_POSITIVE: Self

const MAX: Self

const MIN_EXP: i32 = -125i32

const MAX_EXP: i32 = 128i32

const MIN_10_EXP: i32 = -37i32

const MAX_10_EXP: i32 = 38i32

const NAN: Self

const INFINITY: Self

const NEG_INFINITY: Self

const PI: Self

const TAU: 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 FRAC_1_PI: Self

const FRAC_2_PI: Self

const FRAC_2_SQRT_PI: Self

const SQRT_2: Self

const FRAC_1_SQRT_2: Self

const E: Self

const LOG2_E: Self

const LOG10_E: Self

const LN_2: Self

const LN_10: Self

impl Float for Float64

const RADIX: u32 = 2u32

const MANTISSA_DIGITS: u32 = 53u32

const DIGITS: u32 = 15u32

const EPSILON: Self

const MIN: Self

const MIN_POSITIVE: Self

const MAX: Self

const MIN_EXP: i32 = -1_021i32

const MAX_EXP: i32 = 1_024i32

const MIN_10_EXP: i32 = -307i32

const MAX_10_EXP: i32 = 308i32

const NAN: Self

const INFINITY: Self

const NEG_INFINITY: Self

const PI: Self

const TAU: 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 FRAC_1_PI: Self

const FRAC_2_PI: Self

const FRAC_2_SQRT_PI: Self

const SQRT_2: Self

const FRAC_1_SQRT_2: Self

const E: Self

const LOG2_E: Self

const LOG10_E: Self

const LN_2: Self

const LN_10: Self