Trait ExtFloatConst

pub trait ExtFloatConst: Sized {
Show 84 associated constants and 0 method
    const ONE: Self;
    const ZERO: Self;
    const NEG_ONE: Self;
    const NEG_ZERO: Self;
    const NAN: Self;
    const INFINITY: Self;
    const NEG_INFINITY: 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 EPSILON: Self;
    const LOW_MARGIN: Self;
    const MEDIUM_MARGIN: Self;
    const HIGH_MARGIN: Self;
    const RADIX: u32;
    const DIGITS: u32;
    const MANTISSA_DIGITS: u32;
    const 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_PI: Self;
    const FRAC_1_PI: Self;
    const FRAC_1_SQRT_PI: Self;
    const FRAC_1_SQRT_2PI: Self;
    const FRAC_2_PI: Self;
    const FRAC_2_SQRT_PI: Self;
    const TAU: Self;
    const FRAC_TAU_2: Self;
    const FRAC_TAU_3: Self;
    const FRAC_TAU_4: Self;
    const FRAC_TAU_5: Self;
    const FRAC_TAU_6: Self;
    const FRAC_TAU_8: Self;
    const FRAC_TAU_9: Self;
    const FRAC_TAU_12: Self;
    const FRAC_TAU_16: Self;
    const FRAC_TAU_24: Self;
    const FRAC_TAU_72: Self;
    const FRAC_TAU_360: Self;
    const FRAC_360_TAU: Self;
    const SQRT_TAU: Self;
    const FRAC_1_TAU: Self;
    const FRAC_1_SQRT_TAU: Self;
    const FRAC_2_TAU: Self;
    const FRAC_2_SQRT_TAU: Self;
    const ARC_DEGREE: Self;
    const ARC_MINUTE: Self;
    const ARC_SECOND: Self;
    const PHI: Self;
    const SQ_PHI: Self;
    const FRAC_1_PHI: Self;
    const NEG_FRAC_1_PHI: Self;
    const SQRT_PHI: Self;
    const FRAC_1_SQRT_PHI: Self;
    const TRIBONACCI: Self;
    const SQRT_2: Self;
    const FRAC_1_SQRT_2: Self;
    const SQRT_3: Self;
    const FRAC_1_SQRT_3: Self;
    const SQRT_5: Self;
    const SQRT_6: Self;
    const SQRT_7: Self;
    const SQRT_8: Self;
    const SQRT_10: Self;
    const SQRT_11: Self;
    const SQRT_12: Self;
    const CBRT_2: Self;
    const CBRT_3: Self;
    const FRAC_1_CBRT_3: Self;
    const E: Self;
    const EGAMMA: Self;
    const LOG2_E: Self;
    const LOG2_10: Self;
    const LOG10_E: Self;
    const LOG10_2: Self;
    const LN_2: Self;
    const LN_10: Self;
}

Expand description

Extension trait for floating-point types. Associated constants.

§Constants

Identities: ONE, ZERO, NEG_ONE, NEG_ZERO.
Representation, precision and computational bounds: NAN, INFINITY, NEG_INFINITY, MIN, MIN_POSITIVE, MAX, MIN_EXP, MAX_EXP, MIN_10_EXP, MAX_10_EXP, EPSILON, RADIX, DIGITS, MANTISSA_DIGITS.
Arc degrees: ARC_DEGREE, ARC_MINUTE, ARC_SECOND.
Pi (π) related: π, π/2, π/3, π/4, π/6, π/8, √π, 1/π, 1/√π, 2/π, 2/√π.
Tau (τ) related: τ, τ/2, τ/3, τ/4, τ/5, τ/6, τ/8, τ/9, τ/12, τ/16, τ/24, τ/72, τ/360, 360/τ, √τ, 1/τ, 1/√τ, 2/τ, 2/√τ.
Phi (φ) related: φ, φ², 1/φ, -1/φ, √φ, 1/√φ, TRIBONACCI.
Related to integer roots: √2, 1/√2, √3, 1/√3, √5, √6, √7, √8, √10, √11, √12, ∛2, ∛3, 1/∛3.
Other constants: E, EGAMMA, LOG2_E, LOG2_10, LOG10_E, LOG10_2, LN_2, LN_10.

Required Associated Constants§

const ONE: Self

The multiplicative identity 1.

const ZERO: Self

The additive identity 0.

const NEG_ONE: Self

The negative of the multiplicative identity -1.

const NEG_ZERO: Self

The negative of the additive identity -0.

const NAN: Self

Not a Number (NaN).

const INFINITY: Self

Infinity (∞).

const NEG_INFINITY: Self

Negative infinity (-∞).

const MIN: Self

Smallest finite value.

const MIN_POSITIVE: Self

Smallest positive normal value.

const MAX: Self

Largest finite value.

const MIN_EXP: i32

One greater than the minimum possible normal power of 2 exponent.

const MAX_EXP: i32

Maximum possible power of 2 exponent.

const MIN_10_EXP: i32

Minimum x for which 10^x is normal.

const MAX_10_EXP: i32

Maximum x for which 10^x is normal.

const EPSILON: Self

Machine epsilon value.

This is the smallest difference detectable between 1.0 and the next representable number in the floating-point format.

const LOW_MARGIN: Self

Allows for minimal deviation; use for high precision needs..

const MEDIUM_MARGIN: Self

Accommodates moderate deviation; balances precision and flexibility.

const HIGH_MARGIN: Self

Permits generous deviation; suitable for less precise scenarios.

const RADIX: u32

The radix or base of the internal representation.

const DIGITS: u32

Approximate number of significant digits in base 10.

const MANTISSA_DIGITS: u32

Number of significant digits in base 2.

const PI: Self

$ π = \frac{1}{2} τ = 180º $ (A000796) ≈ 3.14159265…

The ratio of the circumference to the diameter, a half-turn.

const FRAC_PI_2: Self

$ π/2 = τ/4 = 90º $ (A019669) ≈ 1.57079632…

const FRAC_PI_3: Self

$ π/3 = τ/6 = 60º $ (A019670) ≈ 1.04719755…

const FRAC_PI_4: Self

$ π/4 = τ/8 = 45º $ (A003881) ≈ 0.78539816…

const FRAC_PI_6: Self

$ π/6 = τ/12 = 30º $ (A019673) ≈ 0.52359877…

const FRAC_PI_8: Self

$ π/8 = τ/16 = 22.5º $ (A019675) ≈ 0.39269908…

const SQRT_PI: Self

$ \sqrt{π} = \sqrt{\frac{1}{2} τ} $ (A002161) ≈ 1.77245385…

const FRAC_1_PI: Self

$ 1/π = 2/τ $ (A049541) ≈ 0.31830988…

const FRAC_1_SQRT_PI: Self

$ 1/\sqrt{π} = 1/\sqrt{τ/2} $ (A087197) ≈ 0.56418958…

const FRAC_1_SQRT_2PI: Self

$ 1/\sqrt{2π} = 1/\sqrt{τ} $ (A231863) ≈ 0.39894228…

const FRAC_2_PI: Self

$ 2/π $ (A060294) ≈ 0.63661977…

Buffon’s constant.

const FRAC_2_SQRT_PI: Self

$ 2/\sqrt{π} $ (A190732) ≈ 1.12837916…

const TAU: Self

$ τ = 2π = 360º $ (A019692) ≈ 6.28318530…

The ratio of the circumference to the radius, a full-turn.

const FRAC_TAU_2: Self

$ τ/2 = π = 180º $ (A000796) ≈ 3.14159265…

const FRAC_TAU_3: Self

$ τ/3 = 2π/3 = 120º $ (A019693) ≈ 2.09439510…

const FRAC_TAU_4: Self

$ τ/4 = π/2 = 90º $ (A019693) ≈ 1.57079632…

const FRAC_TAU_5: Self

$ τ/5 = 2π/5 = 72º $ (A019694) ≈ 1.25663706…

const FRAC_TAU_6: Self

$ τ/6 = π/3 = 60º $ (A019670) ≈ 1.04719755…

const FRAC_TAU_8: Self

$ τ/8 = π/4 = 45º $ (A003881) ≈ 0.78539816…

const FRAC_TAU_9: Self

$ τ/9 = 2π/9 = 40º $ (A019696) ≈ 0.69813170…

const FRAC_TAU_12: Self

$ τ/12 = π/6 = 30º $ (A019673) ≈ 0.52359877…

const FRAC_TAU_16: Self

$ τ/16 = π/8 = 22.5º $ (A019675) ≈ 0.39269908…

const FRAC_TAU_24: Self

$ τ/24 = π/12 = 15º $ (A019679) ≈ 0.26179938…

const FRAC_TAU_72: Self

$ τ/72 = π/36 = 5º $ ≈ 0.08726646…

const FRAC_TAU_360: Self

$ τ/360 = π/180 = 1º $ arc degree (A019685, wikipedia) ≈ 0.01745329…

const FRAC_360_TAU: Self

$ 360/τ = 180/π $ (A072097) ≈ 57.2957795…

const SQRT_TAU: Self

$ \sqrt{τ} = \sqrt{2π} $ (A019727) ≈ 2.50662827…

const FRAC_1_TAU: Self

$ 1/τ = 1/2π $ (A086201) ≈ 0.15915494…

const FRAC_1_SQRT_TAU: Self

$ 1/\sqrt{τ} = 1/\sqrt{2π} $ (A231863) ≈ 0.39894228…

const FRAC_2_TAU: Self

$ 2/τ = 1/π $ (A049541) ≈ 0.31830988…

const FRAC_2_SQRT_TAU: Self

$ 2/\sqrt{τ} = \sqrt{2/π} $ (A076668) ≈ 0.79788456…

const ARC_DEGREE: Self

$ τ/360 = π/180 = 1º $ arc degree (A019685, wikipedia) ≈ 0.01745329…

const ARC_MINUTE: Self

$ τ/(360*60) = 1’ $ arc minute (wikipedia) ≈ 0.00029088…

const ARC_SECOND: Self

$ τ/(360 * 60 * 60) = 1’’ $ arc second (wikipedia) ≈ 0.00000484…

const PHI: Self

$ φ = (1+\sqrt{5})/2 $ (A001622) ≈ 1.61803398…

The golden ratio.

Continued fraction: $ [1;1,1,1,…] $

const SQ_PHI: Self

$ φ^2 = φ+1 = (3+\sqrt{5})/2 $ (A104457) ≈ 2.61803398…

const FRAC_1_PHI: Self

$ 1/φ = φ-1 $ (A094214) ≈ 0.61803398…

The reciprocal of φ.

const NEG_FRAC_1_PHI: Self

$ -1/φ = 1-φ $ ≈ -0.61803398…

The negative reciprocal of φ and its conjugate in $ x^2-x-1 $.

const SQRT_PHI: Self

$ \sqrt{φ} $ (A139339) ≈ 1.27201964…

const FRAC_1_SQRT_PHI: Self

$ 1/\sqrt{φ} = \sqrt{φ/φ^2} = \sqrt{φ^2-2} $ (A197762) ≈ 0.78615137…

const TRIBONACCI: Self

(A058265) ≈ 1.83928675…

The tribonacci constant.

const SQRT_2: Self

$ \sqrt{2} $ (A002193, wikipedia) ≈ 1.41421356…

const FRAC_1_SQRT_2: Self

$ 1/\sqrt{2} = \sqrt{1/2} $ (A010503, wikipedia) ≈ 0.70710678…

const SQRT_3: Self

$ \sqrt{3} $ (A002194, wikipedia) ≈ 1.73205080…

const FRAC_1_SQRT_3: Self

$ 1/\sqrt{3} = \sqrt{1/3} $ (A020760, ≈ 0.57735026…

const SQRT_5: Self

$ \sqrt{5} $ (A002163, wikipedia) ≈ 2.23606797…

const SQRT_6: Self

$ \sqrt{6} $ (A010464) ≈ 2.44948974…

const SQRT_7: Self

$ \sqrt{7} $ (A010465) ≈ 2.64575131…

const SQRT_8: Self

$ \sqrt{8} $ (A010466) ≈ 2.82842712…

const SQRT_10: Self

$ \sqrt{10} $ (A010467) ≈ 3.16227766…

const SQRT_11: Self

$ \sqrt{11} $ (A010468) ≈ 3.31662479…

const SQRT_12: Self

$ \sqrt{12} $ (A010469) ≈ 3.46410161…

const CBRT_2: Self

$ \sqrt[\small 3]{2} $ (A002580, wikipedia) ≈ 1.25992104…

const CBRT_3: Self

$ \sqrt[\small 3]{3} $ (A002581) ≈ 1.44224957…

const FRAC_1_CBRT_3: Self

$ 1/\sqrt[\small 3]{3} = (\normalsize\frac{1}{3})^{\small\frac{1}{3}} $ (A072365) ≈ 0.69336127…

const E: Self

$ e $ (A001113) ≈ 2.71828182…

The Euler number or Napier’s constant.

Continuous fraction: $ [2;1,2,1,1,4,1,1,6,1,…,1,2n,1,…] $

const EGAMMA: Self

$ γ $ (A001620) ≈ 0.57721566…

Gamma, or the Euler-Mascheroni constant.

const LOG2_E: Self

$ \log_2{e} $ (A007525) ≈ 1.44269504…

const LOG2_10: Self

log₂(10) (A020862) ≈ 3.32192809…

const LOG10_E: Self

log₁₀(e) (A002285) ≈ 0.43429448…

const LOG10_2: Self

log₁₀(2) (A007524) ≈ 0.30102999…

const LN_2: Self

ln(2) (A002162) ≈ 0.69314718…

const LN_10: Self

ln(10) (A002392) ≈ 2.30258509…

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 ExtFloatConst for f16

Available on crate feature nightly_float only.

§Mathematical constants

.

const ONE: f16 = 1f16

const ZERO: f16 = 0f16

const NEG_ONE: f16 = -1f16

const NEG_ZERO: f16 = -0f16

const NAN: f16 = NaN_f16

const INFINITY: f16 = +Inf_f16

const NEG_INFINITY: f16 = -Inf_f16

const EPSILON: f16 = 9.7656E-4f16

const LOW_MARGIN: f16 = 1.0002E-4f16

const MEDIUM_MARGIN: f16 = 0.0010004f16

const HIGH_MARGIN: f16 = 0.010002f16

const RADIX: u32 = 2u32

const DIGITS: u32 = 3u32

const MANTISSA_DIGITS: u32 = 11u32

const MIN: f16 = -65504f16

const MIN_POSITIVE: f16 = 6.1035E-5f16

const MAX: f16 = 65504f16

const MIN_EXP: i32 = -13i32

const MAX_EXP: i32 = 16i32

const MIN_10_EXP: i32 = -4i32

const MAX_10_EXP: i32 = 4i32

const PI: f16 = 3.1406f16

const FRAC_PI_2: f16 = 1.5703f16

const FRAC_PI_3: f16 = 1.0469f16

const FRAC_PI_4: f16 = 0.78515f16

const FRAC_PI_6: f16 = 0.52344f16

const FRAC_PI_8: f16 = 0.39258f16

const SQRT_PI: f16 = 1.7725f16

const FRAC_1_PI: f16 = 0.31836f16

const FRAC_1_SQRT_PI: f16 = 0.56396f16

const FRAC_1_SQRT_2PI: f16 = 0.39893f16

const FRAC_2_PI: f16 = 0.63672f16

const FRAC_2_SQRT_PI: f16 = 1.1279f16

const TAU: f16 = 6.2813f16

const FRAC_TAU_2: f16 = 3.1406f16

const FRAC_TAU_3: f16 = 2.0938f16

const FRAC_TAU_4: f16 = 1.5703f16

const FRAC_TAU_5: f16 = 1.2568f16

const FRAC_TAU_6: f16 = 1.0469f16

const FRAC_TAU_8: f16 = 0.78515f16

const FRAC_TAU_9: f16 = 0.69824f16

const FRAC_TAU_12: f16 = 0.52344f16

const FRAC_TAU_16: f16 = 0.39258f16

const FRAC_TAU_24: f16 = 0.26172f16

const FRAC_TAU_72: f16 = 0.08728f16

const FRAC_TAU_360: f16 = 0.017456f16

const FRAC_360_TAU: f16 = 57.281f16

const SQRT_TAU: f16 = 2.5059f16

const FRAC_1_TAU: f16 = 0.15918f16

const FRAC_1_SQRT_TAU: f16 = 0.39893f16

const FRAC_2_TAU: f16 = 0.31836f16

const FRAC_2_SQRT_TAU: f16 = 0.79785f16

const ARC_DEGREE: f16 = 0.017456f16

const ARC_MINUTE: f16 = 2.9087E-4f16

const ARC_SECOND: f16 = 4.828E-6f16

const PHI: f16 = 1.6182f16

const SQ_PHI: f16 = 2.6172f16

const FRAC_1_PHI: f16 = 0.61816f16

const NEG_FRAC_1_PHI: f16 = -0.61816f16

const SQRT_PHI: f16 = 1.2725f16

const FRAC_1_SQRT_PHI: f16 = 0.78613f16

const TRIBONACCI: f16 = 1.8389f16

const SQRT_2: f16 = 1.4141f16

const FRAC_1_SQRT_2: f16 = 0.70703f16

const SQRT_3: f16 = 1.7324f16

const FRAC_1_SQRT_3: f16 = 0.57715f16

const SQRT_5: f16 = 2.2363f16

const SQRT_6: f16 = 2.4492f16

const SQRT_7: f16 = 2.6465f16

const SQRT_8: f16 = 2.8281f16

const SQRT_10: f16 = 3.1621f16

const SQRT_11: f16 = 3.3164f16

const SQRT_12: f16 = 3.4648f16

const CBRT_2: f16 = 1.2598f16

const CBRT_3: f16 = 1.4424f16

const FRAC_1_CBRT_3: f16 = 0.69336f16

const E: f16 = 2.7188f16

const EGAMMA: f16 = 0.57715f16

const LOG2_E: f16 = 1.4424f16

const LOG2_10: f16 = 3.3223f16

const LOG10_E: f16 = 0.43433f16

const LOG10_2: f16 = 0.30103f16

const LN_2: f16 = 0.69336f16

const LN_10: f16 = 2.3027f16

impl ExtFloatConst for f32

§Mathematical constants

.

const ONE: f32 = 1f32

const ZERO: f32 = 0f32

const NEG_ONE: f32 = -1f32

const NEG_ZERO: f32 = -0f32

const NAN: f32 = NaN_f32

const INFINITY: f32 = +Inf_f32

const NEG_INFINITY: f32 = -Inf_f32

const EPSILON: f32 = 1.1920929E-7f32

const LOW_MARGIN: f32 = 1.00000001E-7f32

const MEDIUM_MARGIN: f32 = 9.99999997E-7f32

const HIGH_MARGIN: f32 = 9.99999974E-6f32

const RADIX: u32 = 2u32

const DIGITS: u32 = 6u32

const MANTISSA_DIGITS: u32 = 24u32

const MIN: f32 = -3.40282347E+38f32

const MIN_POSITIVE: f32 = 1.17549435E-38f32

const MAX: f32 = 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 PI: f32 = 3.14159274f32

const FRAC_PI_2: f32 = 1.57079637f32

const FRAC_PI_3: f32 = 1.04719758f32

const FRAC_PI_4: f32 = 0.785398185f32

const FRAC_PI_6: f32 = 0.52359879f32

const FRAC_PI_8: f32 = 0.392699093f32

const SQRT_PI: f32 = 1.7724539f32

const FRAC_1_PI: f32 = 0.318309873f32

const FRAC_1_SQRT_PI: f32 = 0.564189613f32

const FRAC_1_SQRT_2PI: f32 = 0.398942292f32

const FRAC_2_PI: f32 = 0.636619746f32

const FRAC_2_SQRT_PI: f32 = 1.12837923f32

const TAU: f32 = 6.28318548f32

const FRAC_TAU_2: f32 = 3.14159274f32

const FRAC_TAU_3: f32 = 2.09439516f32

const FRAC_TAU_4: f32 = 1.57079637f32

const FRAC_TAU_5: f32 = 1.2566371f32

const FRAC_TAU_6: f32 = 1.04719758f32

const FRAC_TAU_8: f32 = 0.785398185f32

const FRAC_TAU_9: f32 = 0.69813168f32

const FRAC_TAU_12: f32 = 0.52359879f32

const FRAC_TAU_16: f32 = 0.392699093f32

const FRAC_TAU_24: f32 = 0.261799395f32

const FRAC_TAU_72: f32 = 0.0872664601f32

const FRAC_TAU_360: f32 = 0.0174532924f32

const FRAC_360_TAU: f32 = 57.2957802f32

const SQRT_TAU: f32 = 2.50662827f32

const FRAC_1_TAU: f32 = 0.159154937f32

const FRAC_1_SQRT_TAU: f32 = 0.398942292f32

const FRAC_2_TAU: f32 = 0.318309873f32

const FRAC_2_SQRT_TAU: f32 = 0.797884583f32

const ARC_DEGREE: f32 = 0.0174532924f32

const ARC_MINUTE: f32 = 2.90888216E-4f32

const ARC_SECOND: f32 = 4.848137E-6f32

const PHI: f32 = 1.61803401f32

const SQ_PHI: f32 = 2.61803389f32

const FRAC_1_PHI: f32 = 0.618034005f32

const NEG_FRAC_1_PHI: f32 = -0.618034005f32

const SQRT_PHI: f32 = 1.27201962f32

const FRAC_1_SQRT_PHI: f32 = 0.786151349f32

const TRIBONACCI: f32 = 1.8392868f32

const SQRT_2: f32 = 1.41421354f32

const FRAC_1_SQRT_2: f32 = 0.707106769f32

const SQRT_3: f32 = 1.73205078f32

const FRAC_1_SQRT_3: f32 = 0.577350259f32

const SQRT_5: f32 = 2.23606801f32

const SQRT_6: f32 = 2.44948983f32

const SQRT_7: f32 = 2.64575124f32

const SQRT_8: f32 = 2.82842708f32

const SQRT_10: f32 = 3.1622777f32

const SQRT_11: f32 = 3.31662488f32

const SQRT_12: f32 = 3.46410155f32

const CBRT_2: f32 = 1.25992107f32

const CBRT_3: f32 = 1.44224954f32

const FRAC_1_CBRT_3: f32 = 0.693361282f32

const E: f32 = 2.71828175f32

const EGAMMA: f32 = 0.577215672f32

const LOG2_E: f32 = 1.44269502f32

const LOG2_10: f32 = 3.32192802f32

const LOG10_E: f32 = 0.434294492f32

const LOG10_2: f32 = 0.30103001f32

const LN_2: f32 = 0.693147182f32

const LN_10: f32 = 2.30258512f32

impl ExtFloatConst for f64

§Mathematical constants

.

const ONE: f64 = 1f64

const ZERO: f64 = 0f64

const NEG_ONE: f64 = -1f64

const NEG_ZERO: f64 = -0f64

const NAN: f64 = NaN_f64

const INFINITY: f64 = +Inf_f64

const NEG_INFINITY: f64 = -Inf_f64

const EPSILON: f64 = 2.2204460492503131E-16f64

const LOW_MARGIN: f64 = 9.9999999999999998E-13f64

const MEDIUM_MARGIN: f64 = 1.0000000000000001E-9f64

const HIGH_MARGIN: f64 = 9.9999999999999995E-7f64

const RADIX: u32 = 2u32

const DIGITS: u32 = 15u32

const MANTISSA_DIGITS: u32 = 53u32

const MIN: f64 = -1.7976931348623157E+308f64

const MIN_POSITIVE: f64 = 2.2250738585072014E-308f64

const MAX: f64 = 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 PI: f64 = 3.1415926535897931f64

const FRAC_PI_2: f64 = 1.5707963267948966f64

const FRAC_PI_3: f64 = 1.0471975511965979f64

const FRAC_PI_4: f64 = 0.78539816339744828f64

const FRAC_PI_6: f64 = 0.52359877559829893f64

const FRAC_PI_8: f64 = 0.39269908169872414f64

const SQRT_PI: f64 = 1.7724538509055161f64

const FRAC_1_PI: f64 = 0.31830988618379069f64

const FRAC_1_SQRT_PI: f64 = 0.56418958354775628f64

const FRAC_1_SQRT_2PI: f64 = 0.3989422804014327f64

const FRAC_2_PI: f64 = 0.63661977236758138f64

const FRAC_2_SQRT_PI: f64 = 1.1283791670955126f64

const TAU: f64 = 6.2831853071795862f64

const FRAC_TAU_2: f64 = 3.1415926535897931f64

const FRAC_TAU_3: f64 = 2.0943951023931957f64

const FRAC_TAU_4: f64 = 1.5707963267948966f64

const FRAC_TAU_5: f64 = 1.2566370614359172f64

const FRAC_TAU_6: f64 = 1.0471975511965979f64

const FRAC_TAU_8: f64 = 0.78539816339744828f64

const FRAC_TAU_9: f64 = 0.69813170079773179f64

const FRAC_TAU_12: f64 = 0.52359877559829893f64

const FRAC_TAU_16: f64 = 0.39269908169872414f64

const FRAC_TAU_24: f64 = 0.26179938779914946f64

const FRAC_TAU_72: f64 = 0.087266462599716474f64

const FRAC_TAU_360: f64 = 0.017453292519943295f64

const FRAC_360_TAU: f64 = 57.295779513082323f64

const SQRT_TAU: f64 = 2.5066282746310007f64

const FRAC_1_TAU: f64 = 0.15915494309189535f64

const FRAC_1_SQRT_TAU: f64 = 0.3989422804014327f64

const FRAC_2_TAU: f64 = 0.31830988618379069f64

const FRAC_2_SQRT_TAU: f64 = 0.79788456080286541f64

const ARC_DEGREE: f64 = 0.017453292519943295f64

const ARC_MINUTE: f64 = 2.9088820866572158E-4f64

const ARC_SECOND: f64 = 4.8481368110953598E-6f64

const PHI: f64 = 1.6180339887498949f64

const SQ_PHI: f64 = 2.6180339887498949f64

const FRAC_1_PHI: f64 = 0.6180339887498949f64

const NEG_FRAC_1_PHI: f64 = -0.6180339887498949f64

const SQRT_PHI: f64 = 1.272019649514069f64

const FRAC_1_SQRT_PHI: f64 = 0.78615137775742328f64

const TRIBONACCI: f64 = 1.8392867552141612f64

const SQRT_2: f64 = 1.4142135623730951f64

const FRAC_1_SQRT_2: f64 = 0.70710678118654757f64

const SQRT_3: f64 = 1.7320508075688772f64

const FRAC_1_SQRT_3: f64 = 0.57735026918962573f64

const SQRT_5: f64 = 2.2360679774997898f64

const SQRT_6: f64 = 2.4494897427831779f64

const SQRT_7: f64 = 2.6457513110645907f64

const SQRT_8: f64 = 2.8284271247461903f64

const SQRT_10: f64 = 3.1622776601683795f64

const SQRT_11: f64 = 3.3166247903553998f64

const SQRT_12: f64 = 3.4641016151377544f64

const CBRT_2: f64 = 1.2599210498948732f64

const CBRT_3: f64 = 1.4422495703074083f64

const FRAC_1_CBRT_3: f64 = 0.69336127435063466f64

const E: f64 = 2.7182818284590451f64

const EGAMMA: f64 = 0.57721566490153287f64

const LOG2_E: f64 = 1.4426950408889634f64

const LOG2_10: f64 = 3.3219280948873622f64

const LOG10_E: f64 = 0.43429448190325182f64

const LOG10_2: f64 = 0.3010299956639812f64

const LN_2: f64 = 0.69314718055994529f64

const LN_10: f64 = 2.3025850929940459f64

impl ExtFloatConst for f128

Available on crate feature nightly_float only.

§Mathematical constants

.

const ONE: f128 = 1f128

const ZERO: f128 = 0f128

const NEG_ONE: f128 = -1f128

const NEG_ZERO: f128 = -0f128

const NAN: f128 = NaN_f128

const INFINITY: f128 = +Inf_f128

const NEG_INFINITY: f128 = -Inf_f128

const EPSILON: f128 = 1.92592994438723585305597794258492732E-34f128

const LOW_MARGIN: f128 = 9.99999999999999999999999999999999996E-31f128

const MEDIUM_MARGIN: f128 = 9.99999999999999999999999999999999936E-28f128

const HIGH_MARGIN: f128 = 9.99999999999999999999999999999999934E-25f128

const RADIX: u32 = 2u32

const DIGITS: u32 = 33u32

const MANTISSA_DIGITS: u32 = 113u32

const MIN: f128 = -1.18973149535723176508575932662800702E+4932f128

const MIN_POSITIVE: f128 = 3.3621031431120935062626778173217526E-4932f128

const MAX: f128 = 1.18973149535723176508575932662800702E+4932f128

const MIN_EXP: i32 = -16_381i32

const MAX_EXP: i32 = 16_384i32

const MIN_10_EXP: i32 = -4_931i32

const MAX_10_EXP: i32 = 4_932i32

const PI: f128 = 3.1415926535897932384626433832795028f128

const FRAC_PI_2: f128 = 1.5707963267948966192313216916397514f128

const FRAC_PI_3: f128 = 1.04719755119659774615421446109316766f128

const FRAC_PI_4: f128 = 0.785398163397448309615660845819875699f128

const FRAC_PI_6: f128 = 0.523598775598298873077107230546583832f128

const FRAC_PI_8: f128 = 0.39269908169872415480783042290993785f128

const SQRT_PI: f128 = 1.77245385090551602729816748334114514f128

const FRAC_1_PI: f128 = 0.318309886183790671537767526745028737f128

const FRAC_1_SQRT_PI: f128 = 0.564189583547756286948079451560772632f128

const FRAC_1_SQRT_2PI: f128 = 0.398942280401432677939946059934381874f128

const FRAC_2_PI: f128 = 0.636619772367581343075535053490057474f128

const FRAC_2_SQRT_PI: f128 = 1.12837916709551257389615890312154526f128

const TAU: f128 = 6.28318530717958647692528676655900559f128

const FRAC_TAU_2: f128 = 3.1415926535897932384626433832795028f128

const FRAC_TAU_3: f128 = 2.09439510239319549230842892218633533f128

const FRAC_TAU_4: f128 = 1.5707963267948966192313216916397514f128

const FRAC_TAU_5: f128 = 1.25663706143591729538505735331180116f128

const FRAC_TAU_6: f128 = 1.04719755119659774615421446109316766f128

const FRAC_TAU_8: f128 = 0.785398163397448309615660845819875699f128

const FRAC_TAU_9: f128 = 0.698131700797731830769476307395445045f128

const FRAC_TAU_12: f128 = 0.523598775598298873077107230546583832f128

const FRAC_TAU_16: f128 = 0.39269908169872415480783042290993785f128

const FRAC_TAU_24: f128 = 0.261799387799149436538553615273291916f128

const FRAC_TAU_72: f128 = 0.0872664625997164788461845384244306306f128

const FRAC_TAU_360: f128 = 0.0174532925199432957692369076848861285f128

const FRAC_360_TAU: f128 = 57.2957795130823208767981548141051723f128

const SQRT_TAU: f128 = 2.50662827463100050241576528481104528f128

const FRAC_1_TAU: f128 = 0.159154943091895335768883763372514368f128

const FRAC_1_SQRT_TAU: f128 = 0.398942280401432677939946059934381874f128

const FRAC_2_TAU: f128 = 0.318309886183790671537767526745028737f128

const FRAC_2_SQRT_TAU: f128 = 0.797884560802865355879892119868763747f128

const ARC_DEGREE: f128 = 0.0174532925199432957692369076848861285f128

const ARC_MINUTE: f128 = 2.90888208665721596153948461414768781E-4f128

const ARC_SECOND: f128 = 4.84813681109535993589914102357948012E-6f128

const PHI: f128 = 1.61803398874989484820458683436563816f128

const SQ_PHI: f128 = 2.61803398874989484820458683436563816f128

const FRAC_1_PHI: f128 = 0.61803398874989484820458683436563816f128

const NEG_FRAC_1_PHI: f128 = -0.61803398874989484820458683436563816f128

const SQRT_PHI: f128 = 1.27201964951406896425242246173749152f128

const FRAC_1_SQRT_PHI: f128 = 0.786151377757423286069558585842958934f128

const TRIBONACCI: f128 = 1.83928675521416113255185256465328669f128

const SQRT_2: f128 = 1.41421356237309504880168872420969798f128

const FRAC_1_SQRT_2: f128 = 0.707106781186547524400844362104848992f128

const SQRT_3: f128 = 1.73205080756887729352744634150587232f128

const FRAC_1_SQRT_3: f128 = 0.577350269189625764509148780501957409f128

const SQRT_5: f128 = 2.23606797749978969640917366873127632f128

const SQRT_6: f128 = 2.44948974278317809819728407470589124f128

const SQRT_7: f128 = 2.6457513110645905905016157536392604f128

const SQRT_8: f128 = 2.82842712474619009760337744841939597f128

const SQRT_10: f128 = 3.16227766016837933199889354443271854f128

const SQRT_11: f128 = 3.31662479035539984911493273667068682f128

const SQRT_12: f128 = 3.46410161513775458705489268301174464f128

const CBRT_2: f128 = 1.25992104989487316476721060727822834f128

const CBRT_3: f128 = 1.44224957030740838232163831078010951f128

const FRAC_1_CBRT_3: f128 = 0.69336127435063470484335227478596182f128

const E: f128 = 2.71828182845904523536028747135266231f128

const EGAMMA: f128 = 0.577215664901532860606512090082402471f128

const LOG2_E: f128 = 1.44269504088896340735992468100189204f128

const LOG2_10: f128 = 3.32192809488736234787031942948939029f128

const LOG10_E: f128 = 0.434294481903251827651128918916605096f128

const LOG10_2: f128 = 0.30102999566398119521373889472449302f128

const LN_2: f128 = 0.693147180559945309417232121458176575f128

const LN_10: f128 = 2.30258509299404568401799145468436418f128

Implementors§