925 lines
22 KiB
Rust
925 lines
22 KiB
Rust
use std::ops::Neg;
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use {Num, NumCast, Float};
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// NOTE: These doctests have the same issue as those in src/float.rs.
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// They're testing the inherent methods directly, and not those of `Real`.
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/// A trait for real number types that do not necessarily have
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/// floating-point-specific characteristics such as NaN and infinity.
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///
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/// See [this Wikipedia article](https://en.wikipedia.org/wiki/Real_data_type)
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/// for a list of data types that could meaningfully implement this trait.
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pub trait Real
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: Num
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+ Copy
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+ NumCast
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+ PartialOrd
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+ Neg<Output = Self>
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{
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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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/// 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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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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/// 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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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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/// 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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/// # Panics
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///
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/// The default implementation will panic if `f32::EPSILON` cannot
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/// be cast to `Self`.
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fn epsilon() -> 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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/// 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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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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/// use num_traits::real::Real;
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///
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/// let f = 3.99;
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/// let g = 3.0;
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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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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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/// use num_traits::real::Real;
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///
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/// let f = 3.01;
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/// let g = 4.0;
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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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fn ceil(self) -> Self;
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/// Returns the nearest integer to a number. Round half-way cases away from
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/// `0.0`.
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///
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/// ```
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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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/// let g = -3.3;
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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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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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/// use num_traits::real::Real;
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///
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/// let f = 3.3;
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/// let g = -3.7;
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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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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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/// use num_traits::real::Real;
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///
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/// let x = 3.5;
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/// let y = -3.5;
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/// let abs_difference_x = (x.fract() - 0.5).abs();
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/// let abs_difference_y = (y.fract() - (-0.5)).abs();
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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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fn fract(self) -> Self;
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/// Computes the absolute value of `self`. Returns `Float::nan()` if the
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/// number is `Float::nan()`.
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///
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/// ```
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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 = 3.5;
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/// let y = -3.5;
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///
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/// let abs_difference_x = (x.abs() - x).abs();
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/// let abs_difference_y = (y.abs() - (-y)).abs();
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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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/// assert!(::num_traits::Float::is_nan(f64::NAN.abs()));
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/// ```
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fn abs(self) -> Self;
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/// Returns a number that represents the sign of `self`.
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///
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/// - `1.0` if the number is positive, `+0.0` or `Float::infinity()`
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/// - `-1.0` if the number is negative, `-0.0` or `Float::neg_infinity()`
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/// - `Float::nan()` if the number is `Float::nan()`
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///
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/// ```
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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 f = 3.5;
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///
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/// assert_eq!(f.signum(), 1.0);
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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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fn signum(self) -> Self;
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/// Returns `true` if `self` is positive, including `+0.0`,
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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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/// use num_traits::real::Real;
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/// use std::f64;
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///
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/// let neg_nan: f64 = -f64::NAN;
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///
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/// let f = 7.0;
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/// let g = -7.0;
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///
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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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fn is_sign_positive(self) -> bool;
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/// Returns `true` if `self` is negative, including `-0.0`,
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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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/// use num_traits::real::Real;
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/// use std::f64;
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///
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/// let nan: f64 = f64::NAN;
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///
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/// let f = 7.0;
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/// let g = -7.0;
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///
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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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fn is_sign_negative(self) -> bool;
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/// Fused multiply-add. Computes `(self * a) + b` with only one rounding
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/// error. This produces a more accurate result with better performance than
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/// a separate multiplication operation followed by an add.
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///
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/// ```
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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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/// let x = 4.0;
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/// let b = 60.0;
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///
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/// // 100.0
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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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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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/// 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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fn recip(self) -> Self;
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/// Raise a number to an integer power.
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///
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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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/// 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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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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/// 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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fn powf(self, n: Self) -> Self;
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/// Take the square root of a number.
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///
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/// Returns NaN if `self` is a negative floating-point number.
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///
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/// # Panics
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///
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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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/// use num_traits::real::Real;
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///
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/// let positive = 4.0;
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/// let negative = -4.0;
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///
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/// let abs_difference = (positive.sqrt() - 2.0).abs();
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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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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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/// use num_traits::real::Real;
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///
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/// let one = 1.0;
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/// // e^1
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/// let e = one.exp();
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///
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/// // ln(e) - 1 == 0
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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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fn exp(self) -> Self;
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/// Returns `2^(self)`.
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///
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/// ```
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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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///
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/// // 2^2 - 4 == 0
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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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fn exp2(self) -> Self;
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/// Returns the natural logarithm of the number.
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///
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/// # Panics
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///
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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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/// use num_traits::real::Real;
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///
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/// let one = 1.0;
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/// // e^1
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/// let e = one.exp();
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///
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/// // ln(e) - 1 == 0
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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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fn ln(self) -> Self;
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/// Returns the logarithm of the number with respect to an arbitrary base.
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///
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/// # Panics
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///
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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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/// use num_traits::real::Real;
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///
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/// let ten = 10.0;
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/// let two = 2.0;
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///
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/// // log10(10) - 1 == 0
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/// let abs_difference_10 = (ten.log(10.0) - 1.0).abs();
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///
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/// // log2(2) - 1 == 0
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/// let abs_difference_2 = (two.log(2.0) - 1.0).abs();
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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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fn log(self, base: Self) -> Self;
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/// Returns the base 2 logarithm of the number.
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///
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/// # Panics
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///
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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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/// use num_traits::real::Real;
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///
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/// let two = 2.0;
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///
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/// // log2(2) - 1 == 0
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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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fn log2(self) -> Self;
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/// Returns the base 10 logarithm of the number.
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///
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/// # Panics
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///
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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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/// ```
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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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///
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/// // log10(10) - 1 == 0
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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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fn log10(self) -> Self;
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/// Converts radians to degrees.
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///
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/// ```
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/// use std::f64::consts;
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///
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/// let angle = consts::PI;
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///
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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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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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/// use std::f64::consts;
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///
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/// let angle = 180.0_f64;
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///
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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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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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/// 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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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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/// 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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fn min(self, other: Self) -> Self;
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/// The positive difference of two numbers.
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///
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/// * If `self <= other`: `0:0`
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/// * Else: `self - other`
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///
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/// ```
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/// use num_traits::real::Real;
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///
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/// let x = 3.0;
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/// let y = -3.0;
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///
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/// let abs_difference_x = (x.abs_sub(1.0) - 2.0).abs();
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/// let abs_difference_y = (y.abs_sub(1.0) - 0.0).abs();
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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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fn abs_sub(self, other: Self) -> Self;
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/// Take the cubic root of a number.
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///
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/// ```
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/// use num_traits::real::Real;
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///
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/// let x = 8.0;
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///
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/// // x^(1/3) - 2 == 0
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/// let abs_difference = (x.cbrt() - 2.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// ```
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fn cbrt(self) -> Self;
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/// Calculate the length of the hypotenuse of a right-angle triangle given
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/// legs of length `x` and `y`.
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///
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/// ```
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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 y = 3.0;
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///
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/// // sqrt(x^2 + y^2)
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/// let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// ```
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fn hypot(self, other: Self) -> Self;
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/// Computes the sine of a number (in radians).
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///
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/// ```
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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::consts::PI/2.0;
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///
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/// let abs_difference = (x.sin() - 1.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// ```
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fn sin(self) -> Self;
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/// Computes the cosine of a number (in radians).
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///
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/// ```
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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 = 2.0*f64::consts::PI;
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///
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/// let abs_difference = (x.cos() - 1.0).abs();
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///
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/// assert!(abs_difference < 1e-10);
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/// ```
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fn cos(self) -> Self;
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/// Computes the tangent of a number (in radians).
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///
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/// ```
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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::consts::PI/4.0;
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/// let abs_difference = (x.tan() - 1.0).abs();
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///
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/// assert!(abs_difference < 1e-14);
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/// ```
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fn tan(self) -> Self;
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/// Computes the arcsine of a number. Return value is in radians in
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/// the range [-pi/2, pi/2] or NaN if the number is outside the range
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/// [-1, 1].
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///
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/// # Panics
|
|
///
|
|
/// If this type does not support a NaN representation, this function should panic
|
|
/// if the number is outside the range [-1, 1].
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn asin(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].
|
|
///
|
|
/// # Panics
|
|
///
|
|
/// If this type does not support a NaN representation, this function should panic
|
|
/// if the number is outside the range [-1, 1].
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn acos(self) -> Self;
|
|
|
|
/// Computes the arctangent of a number. Return value is in radians in the
|
|
/// range [-pi/2, pi/2];
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
///
|
|
/// let f = 1.0;
|
|
///
|
|
/// // atan(tan(1))
|
|
/// let abs_difference = (f.tan().atan() - 1.0).abs();
|
|
///
|
|
/// assert!(abs_difference < 1e-10);
|
|
/// ```
|
|
fn atan(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::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn atan2(self, other: Self) -> Self;
|
|
|
|
/// Simultaneously computes the sine and cosine of the number, `x`. Returns
|
|
/// `(sin(x), cos(x))`.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn sin_cos(self) -> (Self, Self);
|
|
|
|
/// Returns `e^(self) - 1` in a way that is accurate even if the
|
|
/// number is close to zero.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
///
|
|
/// let x = 7.0;
|
|
///
|
|
/// // e^(ln(7)) - 1
|
|
/// let abs_difference = (x.ln().exp_m1() - 6.0).abs();
|
|
///
|
|
/// assert!(abs_difference < 1e-10);
|
|
/// ```
|
|
fn exp_m1(self) -> Self;
|
|
|
|
/// Returns `ln(1+n)` (natural logarithm) more accurately than if
|
|
/// the operations were performed separately.
|
|
///
|
|
/// # Panics
|
|
///
|
|
/// If this type does not support a NaN representation, this function should panic
|
|
/// if `self-1 <= 0`.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn ln_1p(self) -> Self;
|
|
|
|
/// Hyperbolic sine function.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn sinh(self) -> Self;
|
|
|
|
/// Hyperbolic cosine function.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn cosh(self) -> Self;
|
|
|
|
/// Hyperbolic tangent function.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn tanh(self) -> Self;
|
|
|
|
/// Inverse hyperbolic sine function.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
///
|
|
/// let x = 1.0;
|
|
/// let f = x.sinh().asinh();
|
|
///
|
|
/// let abs_difference = (f - x).abs();
|
|
///
|
|
/// assert!(abs_difference < 1.0e-10);
|
|
/// ```
|
|
fn asinh(self) -> Self;
|
|
|
|
/// Inverse hyperbolic cosine function.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
///
|
|
/// let x = 1.0;
|
|
/// let f = x.cosh().acosh();
|
|
///
|
|
/// let abs_difference = (f - x).abs();
|
|
///
|
|
/// assert!(abs_difference < 1.0e-10);
|
|
/// ```
|
|
fn acosh(self) -> Self;
|
|
|
|
/// Inverse hyperbolic tangent function.
|
|
///
|
|
/// ```
|
|
/// use num_traits::real::Real;
|
|
/// 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);
|
|
/// ```
|
|
fn atanh(self) -> Self;
|
|
}
|
|
|
|
impl<T: Float> Real for T {
|
|
fn min_value() -> Self {
|
|
Self::min_value()
|
|
}
|
|
fn min_positive_value() -> Self {
|
|
Self::min_positive_value()
|
|
}
|
|
fn epsilon() -> Self {
|
|
Self::epsilon()
|
|
}
|
|
fn max_value() -> Self {
|
|
Self::max_value()
|
|
}
|
|
fn floor(self) -> Self {
|
|
self.floor()
|
|
}
|
|
fn ceil(self) -> Self {
|
|
self.ceil()
|
|
}
|
|
fn round(self) -> Self {
|
|
self.round()
|
|
}
|
|
fn trunc(self) -> Self {
|
|
self.trunc()
|
|
}
|
|
fn fract(self) -> Self {
|
|
self.fract()
|
|
}
|
|
fn abs(self) -> Self {
|
|
self.abs()
|
|
}
|
|
fn signum(self) -> Self {
|
|
self.signum()
|
|
}
|
|
fn is_sign_positive(self) -> bool {
|
|
self.is_sign_positive()
|
|
}
|
|
fn is_sign_negative(self) -> bool {
|
|
self.is_sign_negative()
|
|
}
|
|
fn mul_add(self, a: Self, b: Self) -> Self {
|
|
self.mul_add(a, b)
|
|
}
|
|
fn recip(self) -> Self {
|
|
self.recip()
|
|
}
|
|
fn powi(self, n: i32) -> Self {
|
|
self.powi(n)
|
|
}
|
|
fn powf(self, n: Self) -> Self {
|
|
self.powf(n)
|
|
}
|
|
fn sqrt(self) -> Self {
|
|
self.sqrt()
|
|
}
|
|
fn exp(self) -> Self {
|
|
self.exp()
|
|
}
|
|
fn exp2(self) -> Self {
|
|
self.exp2()
|
|
}
|
|
fn ln(self) -> Self {
|
|
self.ln()
|
|
}
|
|
fn log(self, base: Self) -> Self {
|
|
self.log(base)
|
|
}
|
|
fn log2(self) -> Self {
|
|
self.log2()
|
|
}
|
|
fn log10(self) -> Self {
|
|
self.log10()
|
|
}
|
|
fn to_degrees(self) -> Self {
|
|
self.to_degrees()
|
|
}
|
|
fn to_radians(self) -> Self {
|
|
self.to_radians()
|
|
}
|
|
fn max(self, other: Self) -> Self {
|
|
self.max(other)
|
|
}
|
|
fn min(self, other: Self) -> Self {
|
|
self.min(other)
|
|
}
|
|
fn abs_sub(self, other: Self) -> Self {
|
|
self.abs_sub(other)
|
|
}
|
|
fn cbrt(self) -> Self {
|
|
self.cbrt()
|
|
}
|
|
fn hypot(self, other: Self) -> Self {
|
|
self.hypot(other)
|
|
}
|
|
fn sin(self) -> Self {
|
|
self.sin()
|
|
}
|
|
fn cos(self) -> Self {
|
|
self.cos()
|
|
}
|
|
fn tan(self) -> Self {
|
|
self.tan()
|
|
}
|
|
fn asin(self) -> Self {
|
|
self.asin()
|
|
}
|
|
fn acos(self) -> Self {
|
|
self.acos()
|
|
}
|
|
fn atan(self) -> Self {
|
|
self.atan()
|
|
}
|
|
fn atan2(self, other: Self) -> Self {
|
|
self.atan2(other)
|
|
}
|
|
fn sin_cos(self) -> (Self, Self) {
|
|
self.sin_cos()
|
|
}
|
|
fn exp_m1(self) -> Self {
|
|
self.exp_m1()
|
|
}
|
|
fn ln_1p(self) -> Self {
|
|
self.ln_1p()
|
|
}
|
|
fn sinh(self) -> Self {
|
|
self.sinh()
|
|
}
|
|
fn cosh(self) -> Self {
|
|
self.cosh()
|
|
}
|
|
fn tanh(self) -> Self {
|
|
self.tanh()
|
|
}
|
|
fn asinh(self) -> Self {
|
|
self.asinh()
|
|
}
|
|
fn acosh(self) -> Self {
|
|
self.acosh()
|
|
}
|
|
fn atanh(self) -> Self {
|
|
self.atanh()
|
|
}
|
|
}
|