Real: Run doc-tests only if Float is enabled
This commit is contained in:
Yoan Lecoq
Josh Stone
parent
849e2a0b1b
commit
aaf3c267bd
95
src/real.rs
95
src/real.rs
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@ -15,40 +15,47 @@ use Float;
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/// for a list of data types that could meaningfully implement this trait.
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///
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/// This trait is only available with the `std` feature, or with the `libm` feature otherwise.
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#[doc(test(attr(cfg(any(feature = "std", feature = "libm")))))]
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pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// Returns the smallest finite value that this type can represent.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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/// use std::f64;
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///
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/// let x: f64 = Real::min_value();
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///
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/// assert_eq!(x, f64::MIN);
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/// # }
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/// ```
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fn min_value() -> Self;
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/// Returns the smallest positive, normalized value that this type can represent.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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/// use std::f64;
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///
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/// let x: f64 = Real::min_positive_value();
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///
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/// assert_eq!(x, f64::MIN_POSITIVE);
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/// # }
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/// ```
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fn min_positive_value() -> Self;
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/// Returns epsilon, a small positive value.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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/// use std::f64;
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///
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/// let x: f64 = Real::epsilon();
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///
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/// assert_eq!(x, f64::EPSILON);
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/// # }
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/// ```
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///
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/// # Panics
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@ -60,17 +67,20 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// Returns the largest finite value that this type can represent.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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/// use std::f64;
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///
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/// let x: f64 = Real::max_value();
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/// assert_eq!(x, f64::MAX);
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/// # }
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/// ```
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fn max_value() -> Self;
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/// Returns the largest integer less than or equal to a number.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let f = 3.99;
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@ -78,12 +88,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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///
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/// assert_eq!(f.floor(), 3.0);
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/// assert_eq!(g.floor(), 3.0);
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/// # }
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/// ```
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fn floor(self) -> Self;
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/// Returns the smallest integer greater than or equal to a number.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let f = 3.01;
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@ -91,6 +103,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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///
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/// assert_eq!(f.ceil(), 4.0);
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/// assert_eq!(g.ceil(), 4.0);
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/// # }
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/// ```
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fn ceil(self) -> Self;
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@ -98,6 +111,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// `0.0`.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let f = 3.3;
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@ -105,12 +119,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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///
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/// assert_eq!(f.round(), 3.0);
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/// assert_eq!(g.round(), -3.0);
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/// # }
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/// ```
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fn round(self) -> Self;
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/// Return the integer part of a number.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let f = 3.3;
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@ -118,12 +134,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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///
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/// assert_eq!(f.trunc(), 3.0);
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/// assert_eq!(g.trunc(), -3.0);
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/// # }
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/// ```
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fn trunc(self) -> Self;
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/// Returns the fractional part of a number.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let x = 3.5;
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@ -133,6 +151,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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///
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/// assert!(abs_difference_x < 1e-10);
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/// assert!(abs_difference_y < 1e-10);
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/// # }
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/// ```
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fn fract(self) -> Self;
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@ -140,6 +159,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// number is `Float::nan()`.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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/// use std::f64;
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///
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@ -153,6 +173,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// assert!(abs_difference_y < 1e-10);
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///
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/// assert!(::num_traits::Float::is_nan(f64::NAN.abs()));
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/// # }
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/// ```
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fn abs(self) -> Self;
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@ -163,6 +184,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// - `Float::nan()` if the number is `Float::nan()`
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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/// use std::f64;
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///
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@ -172,6 +194,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// assert_eq!(f64::NEG_INFINITY.signum(), -1.0);
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///
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/// assert!(f64::NAN.signum().is_nan());
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/// # }
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/// ```
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fn signum(self) -> Self;
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@ -179,6 +202,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// `Float::infinity()`, and with newer versions of Rust `f64::NAN`.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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/// use std::f64;
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///
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@ -190,6 +214,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// assert!(f.is_sign_positive());
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/// assert!(!g.is_sign_positive());
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/// assert!(!neg_nan.is_sign_positive());
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/// # }
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/// ```
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fn is_sign_positive(self) -> bool;
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@ -197,6 +222,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// `Float::neg_infinity()`, and with newer versions of Rust `-f64::NAN`.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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/// use std::f64;
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///
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@ -208,6 +234,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// assert!(!f.is_sign_negative());
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/// assert!(g.is_sign_negative());
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/// assert!(!nan.is_sign_negative());
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/// # }
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/// ```
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fn is_sign_negative(self) -> bool;
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@ -218,6 +245,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// the target architecture has a dedicated `fma` CPU instruction.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let m = 10.0;
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@ -228,18 +256,21 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn mul_add(self, a: Self, b: Self) -> Self;
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/// Take the reciprocal (inverse) of a number, `1/x`.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let x = 2.0;
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/// let abs_difference = (x.recip() - (1.0/x)).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn recip(self) -> Self;
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@ -248,24 +279,28 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// Using this function is generally faster than using `powf`
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let x = 2.0;
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/// let abs_difference = (x.powi(2) - x*x).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn powi(self, n: i32) -> Self;
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/// Raise a number to a real number power.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let x = 2.0;
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/// let abs_difference = (x.powf(2.0) - x*x).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn powf(self, n: Self) -> Self;
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@ -278,6 +313,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// If the implementing type doesn't support NaN, this method should panic if `self < 0`.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let positive = 4.0;
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@ -287,12 +323,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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///
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/// assert!(abs_difference < 1e-10);
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/// assert!(::num_traits::Float::is_nan(negative.sqrt()));
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/// # }
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/// ```
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fn sqrt(self) -> Self;
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/// Returns `e^(self)`, (the exponential function).
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let one = 1.0;
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@ -303,12 +341,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// let abs_difference = (e.ln() - 1.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn exp(self) -> Self;
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/// Returns `2^(self)`.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let f = 2.0;
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@ -317,6 +357,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// let abs_difference = (f.exp2() - 4.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn exp2(self) -> Self;
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@ -327,6 +368,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// If `self <= 0` and this type does not support a NaN representation, this function should panic.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let one = 1.0;
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@ -337,6 +379,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// let abs_difference = (e.ln() - 1.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn ln(self) -> Self;
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@ -347,6 +390,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// If `self <= 0` and this type does not support a NaN representation, this function should panic.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let ten = 10.0;
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@ -360,6 +404,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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///
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/// assert!(abs_difference_10 < 1e-10);
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/// assert!(abs_difference_2 < 1e-10);
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/// # }
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/// ```
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fn log(self, base: Self) -> Self;
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@ -370,6 +415,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// If `self <= 0` and this type does not support a NaN representation, this function should panic.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let two = 2.0;
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@ -378,6 +424,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// let abs_difference = (two.log2() - 1.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn log2(self) -> Self;
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@ -389,6 +436,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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///
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let ten = 10.0;
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@ -397,12 +445,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// let abs_difference = (ten.log10() - 1.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn log10(self) -> Self;
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/// Converts radians to degrees.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use std::f64::consts;
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///
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/// let angle = consts::PI;
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@ -410,12 +460,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// let abs_difference = (angle.to_degrees() - 180.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn to_degrees(self) -> Self;
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/// Converts degrees to radians.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use std::f64::consts;
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///
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/// let angle = 180.0_f64;
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@ -423,30 +475,35 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// let abs_difference = (angle.to_radians() - consts::PI).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// # }
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/// ```
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fn to_radians(self) -> Self;
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/// Returns the maximum of the two numbers.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let x = 1.0;
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/// let y = 2.0;
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///
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/// assert_eq!(x.max(y), y);
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/// # }
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/// ```
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fn max(self, other: Self) -> Self;
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/// Returns the minimum of the two numbers.
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
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/// use num_traits::real::Real;
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///
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/// let x = 1.0;
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/// let y = 2.0;
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///
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/// assert_eq!(x.min(y), x);
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/// # }
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/// ```
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fn min(self, other: Self) -> Self;
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@ -456,6 +513,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
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/// * Else: `self - other`
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///
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/// ```
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/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
///
|
||||
/// let x = 3.0;
|
||||
|
|
@ -466,12 +524,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
///
|
||||
/// assert!(abs_difference_x < 1e-10);
|
||||
/// assert!(abs_difference_y < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn abs_sub(self, other: Self) -> Self;
|
||||
|
||||
/// Take the cubic root of a number.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
///
|
||||
/// let x = 8.0;
|
||||
|
|
@ -480,6 +540,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (x.cbrt() - 2.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn cbrt(self) -> Self;
|
||||
|
||||
|
|
@ -487,6 +548,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// legs of length `x` and `y`.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
///
|
||||
/// let x = 2.0;
|
||||
|
|
@ -496,12 +558,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn hypot(self, other: Self) -> Self;
|
||||
|
||||
/// Computes the sine of a number (in radians).
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -510,12 +574,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (x.sin() - 1.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn sin(self) -> Self;
|
||||
|
||||
/// Computes the cosine of a number (in radians).
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -524,12 +590,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (x.cos() - 1.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn cos(self) -> Self;
|
||||
|
||||
/// Computes the tangent of a number (in radians).
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -537,6 +605,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (x.tan() - 1.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-14);
|
||||
/// # }
|
||||
/// ```
|
||||
fn tan(self) -> Self;
|
||||
|
||||
|
|
@ -550,6 +619,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// if the number is outside the range [-1, 1].
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -559,6 +629,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (f.sin().asin() - f64::consts::PI / 2.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn asin(self) -> Self;
|
||||
|
||||
|
|
@ -572,6 +643,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// if the number is outside the range [-1, 1].
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -581,6 +653,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (f.cos().acos() - f64::consts::PI / 4.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn acos(self) -> Self;
|
||||
|
||||
|
|
@ -588,6 +661,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// range [-pi/2, pi/2];
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
///
|
||||
/// let f = 1.0;
|
||||
|
|
@ -596,6 +670,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (f.tan().atan() - 1.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn atan(self) -> Self;
|
||||
|
||||
|
|
@ -607,6 +682,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// * `y < 0`: `arctan(y/x) - pi` -> `(-pi, -pi/2)`
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -625,6 +701,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
///
|
||||
/// assert!(abs_difference_1 < 1e-10);
|
||||
/// assert!(abs_difference_2 < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn atan2(self, other: Self) -> Self;
|
||||
|
||||
|
|
@ -632,6 +709,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// `(sin(x), cos(x))`.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -643,6 +721,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
///
|
||||
/// assert!(abs_difference_0 < 1e-10);
|
||||
/// assert!(abs_difference_0 < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn sin_cos(self) -> (Self, Self);
|
||||
|
||||
|
|
@ -650,6 +729,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// number is close to zero.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
///
|
||||
/// let x = 7.0;
|
||||
|
|
@ -658,6 +738,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (x.ln().exp_m1() - 6.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn exp_m1(self) -> Self;
|
||||
|
||||
|
|
@ -670,6 +751,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// if `self-1 <= 0`.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -679,12 +761,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (x.ln_1p() - 1.0).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn ln_1p(self) -> Self;
|
||||
|
||||
/// Hyperbolic sine function.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -697,12 +781,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (f - g).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn sinh(self) -> Self;
|
||||
|
||||
/// Hyperbolic cosine function.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -715,12 +801,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
///
|
||||
/// // Same result
|
||||
/// assert!(abs_difference < 1.0e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn cosh(self) -> Self;
|
||||
|
||||
/// Hyperbolic tangent function.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -733,12 +821,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (f - g).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1.0e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn tanh(self) -> Self;
|
||||
|
||||
/// Inverse hyperbolic sine function.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
///
|
||||
/// let x = 1.0;
|
||||
|
|
@ -747,12 +837,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (f - x).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1.0e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn asinh(self) -> Self;
|
||||
|
||||
/// Inverse hyperbolic cosine function.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
///
|
||||
/// let x = 1.0;
|
||||
|
|
@ -761,12 +853,14 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (f - x).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1.0e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn acosh(self) -> Self;
|
||||
|
||||
/// Inverse hyperbolic tangent function.
|
||||
///
|
||||
/// ```
|
||||
/// # #[cfg(any(feature = "std", feature = "libm"))] {
|
||||
/// use num_traits::real::Real;
|
||||
/// use std::f64;
|
||||
///
|
||||
|
|
@ -776,6 +870,7 @@ pub trait Real: Num + Copy + NumCast + PartialOrd + Neg<Output = Self> {
|
|||
/// let abs_difference = (f - e).abs();
|
||||
///
|
||||
/// assert!(abs_difference < 1.0e-10);
|
||||
/// # }
|
||||
/// ```
|
||||
fn atanh(self) -> Self;
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in New Issue