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authorVivian Lim <[email protected]>2021-02-06 22:11:59 -0800
committerVivian Lim <[email protected]>2021-02-06 22:11:59 -0800
commit64423f0e34cc4a7d78c15b345b3b8f58243d8286 (patch)
treecc20e2e7f0fc35abf470e20e61d3d48f0d954f3b /ctr-std/src/f64.rs
parentSupport libctru 2.0 (diff)
downloadarchived-ctru-rs-64423f0e34cc4a7d78c15b345b3b8f58243d8286.tar.xz
archived-ctru-rs-64423f0e34cc4a7d78c15b345b3b8f58243d8286.zip
Delete ctr-std to use my fork of the rust repo instead
Diffstat (limited to 'ctr-std/src/f64.rs')
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diff --git a/ctr-std/src/f64.rs b/ctr-std/src/f64.rs
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-// Copyright 2012-2015 The Rust Project Developers. See the COPYRIGHT
-// file at the top-level directory of this distribution and at
-// http://rust-lang.org/COPYRIGHT.
-//
-// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
-// http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
-// <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
-// option. This file may not be copied, modified, or distributed
-// except according to those terms.
-
-//! This module provides constants which are specific to the implementation
-//! of the `f64` floating point data type.
-//!
-//! *[See also the `f64` primitive type](../../std/primitive.f64.html).*
-//!
-//! Mathematically significant numbers are provided in the `consts` sub-module.
-
-#![stable(feature = "rust1", since = "1.0.0")]
-#![allow(missing_docs)]
-
-#[cfg(not(test))]
-use intrinsics;
-#[cfg(not(test))]
-use sys::cmath;
-
-#[stable(feature = "rust1", since = "1.0.0")]
-pub use core::f64::{RADIX, MANTISSA_DIGITS, DIGITS, EPSILON};
-#[stable(feature = "rust1", since = "1.0.0")]
-pub use core::f64::{MIN_EXP, MAX_EXP, MIN_10_EXP};
-#[stable(feature = "rust1", since = "1.0.0")]
-pub use core::f64::{MAX_10_EXP, NAN, INFINITY, NEG_INFINITY};
-#[stable(feature = "rust1", since = "1.0.0")]
-pub use core::f64::{MIN, MIN_POSITIVE, MAX};
-#[stable(feature = "rust1", since = "1.0.0")]
-pub use core::f64::consts;
-
-#[cfg(not(test))]
-#[lang = "f64_runtime"]
-impl f64 {
- /// Returns the largest integer less than or equal to a number.
- ///
- /// # Examples
- ///
- /// ```
- /// let f = 3.99_f64;
- /// let g = 3.0_f64;
- ///
- /// assert_eq!(f.floor(), 3.0);
- /// assert_eq!(g.floor(), 3.0);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn floor(self) -> f64 {
- unsafe { intrinsics::floorf64(self) }
- }
-
- /// Returns the smallest integer greater than or equal to a number.
- ///
- /// # Examples
- ///
- /// ```
- /// let f = 3.01_f64;
- /// let g = 4.0_f64;
- ///
- /// assert_eq!(f.ceil(), 4.0);
- /// assert_eq!(g.ceil(), 4.0);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn ceil(self) -> f64 {
- unsafe { intrinsics::ceilf64(self) }
- }
-
- /// Returns the nearest integer to a number. Round half-way cases away from
- /// `0.0`.
- ///
- /// # Examples
- ///
- /// ```
- /// let f = 3.3_f64;
- /// let g = -3.3_f64;
- ///
- /// assert_eq!(f.round(), 3.0);
- /// assert_eq!(g.round(), -3.0);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn round(self) -> f64 {
- unsafe { intrinsics::roundf64(self) }
- }
-
- /// Returns the integer part of a number.
- ///
- /// # Examples
- ///
- /// ```
- /// let f = 3.3_f64;
- /// let g = -3.7_f64;
- ///
- /// assert_eq!(f.trunc(), 3.0);
- /// assert_eq!(g.trunc(), -3.0);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn trunc(self) -> f64 {
- unsafe { intrinsics::truncf64(self) }
- }
-
- /// Returns the fractional part of a number.
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 3.5_f64;
- /// let y = -3.5_f64;
- /// let abs_difference_x = (x.fract() - 0.5).abs();
- /// let abs_difference_y = (y.fract() - (-0.5)).abs();
- ///
- /// assert!(abs_difference_x < 1e-10);
- /// assert!(abs_difference_y < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn fract(self) -> f64 { self - self.trunc() }
-
- /// Computes the absolute value of `self`. Returns `NAN` if the
- /// number is `NAN`.
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let x = 3.5_f64;
- /// let y = -3.5_f64;
- ///
- /// let abs_difference_x = (x.abs() - x).abs();
- /// let abs_difference_y = (y.abs() - (-y)).abs();
- ///
- /// assert!(abs_difference_x < 1e-10);
- /// assert!(abs_difference_y < 1e-10);
- ///
- /// assert!(f64::NAN.abs().is_nan());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn abs(self) -> f64 {
- unsafe { intrinsics::fabsf64(self) }
- }
-
- /// Returns a number that represents the sign of `self`.
- ///
- /// - `1.0` if the number is positive, `+0.0` or `INFINITY`
- /// - `-1.0` if the number is negative, `-0.0` or `NEG_INFINITY`
- /// - `NAN` if the number is `NAN`
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let f = 3.5_f64;
- ///
- /// assert_eq!(f.signum(), 1.0);
- /// assert_eq!(f64::NEG_INFINITY.signum(), -1.0);
- ///
- /// assert!(f64::NAN.signum().is_nan());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn signum(self) -> f64 {
- if self.is_nan() {
- NAN
- } else {
- unsafe { intrinsics::copysignf64(1.0, self) }
- }
- }
-
- /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
- /// error, yielding a more accurate result than an unfused multiply-add.
- ///
- /// Using `mul_add` can be more performant than an unfused multiply-add if
- /// the target architecture has a dedicated `fma` CPU instruction.
- ///
- /// # Examples
- ///
- /// ```
- /// let m = 10.0_f64;
- /// let x = 4.0_f64;
- /// let b = 60.0_f64;
- ///
- /// // 100.0
- /// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn mul_add(self, a: f64, b: f64) -> f64 {
- unsafe { intrinsics::fmaf64(self, a, b) }
- }
-
- /// Calculates Euclidean division, the matching method for `mod_euc`.
- ///
- /// This computes the integer `n` such that
- /// `self = n * rhs + self.mod_euc(rhs)`.
- /// In other words, the result is `self / rhs` rounded to the integer `n`
- /// such that `self >= n * rhs`.
- ///
- /// # Examples
- ///
- /// ```
- /// #![feature(euclidean_division)]
- /// let a: f64 = 7.0;
- /// let b = 4.0;
- /// assert_eq!(a.div_euc(b), 1.0); // 7.0 > 4.0 * 1.0
- /// assert_eq!((-a).div_euc(b), -2.0); // -7.0 >= 4.0 * -2.0
- /// assert_eq!(a.div_euc(-b), -1.0); // 7.0 >= -4.0 * -1.0
- /// assert_eq!((-a).div_euc(-b), 2.0); // -7.0 >= -4.0 * 2.0
- /// ```
- #[inline]
- #[unstable(feature = "euclidean_division", issue = "49048")]
- pub fn div_euc(self, rhs: f64) -> f64 {
- let q = (self / rhs).trunc();
- if self % rhs < 0.0 {
- return if rhs > 0.0 { q - 1.0 } else { q + 1.0 }
- }
- q
- }
-
- /// Calculates the Euclidean modulo (self mod rhs), which is never negative.
- ///
- /// In particular, the return value `r` satisfies `0.0 <= r < rhs.abs()` in
- /// most cases. However, due to a floating point round-off error it can
- /// result in `r == rhs.abs()`, violating the mathematical definition, if
- /// `self` is much smaller than `rhs.abs()` in magnitude and `self < 0.0`.
- /// This result is not an element of the function's codomain, but it is the
- /// closest floating point number in the real numbers and thus fulfills the
- /// property `self == self.div_euc(rhs) * rhs + self.mod_euc(rhs)`
- /// approximatively.
- ///
- /// # Examples
- ///
- /// ```
- /// #![feature(euclidean_division)]
- /// let a: f64 = 7.0;
- /// let b = 4.0;
- /// assert_eq!(a.mod_euc(b), 3.0);
- /// assert_eq!((-a).mod_euc(b), 1.0);
- /// assert_eq!(a.mod_euc(-b), 3.0);
- /// assert_eq!((-a).mod_euc(-b), 1.0);
- /// // limitation due to round-off error
- /// assert!((-std::f64::EPSILON).mod_euc(3.0) != 0.0);
- /// ```
- #[inline]
- #[unstable(feature = "euclidean_division", issue = "49048")]
- pub fn mod_euc(self, rhs: f64) -> f64 {
- let r = self % rhs;
- if r < 0.0 {
- r + rhs.abs()
- } else {
- r
- }
- }
-
- /// Raises a number to an integer power.
- ///
- /// Using this function is generally faster than using `powf`
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 2.0_f64;
- /// let abs_difference = (x.powi(2) - x*x).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn powi(self, n: i32) -> f64 {
- unsafe { intrinsics::powif64(self, n) }
- }
-
- /// Raises a number to a floating point power.
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 2.0_f64;
- /// let abs_difference = (x.powf(2.0) - x*x).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn powf(self, n: f64) -> f64 {
- unsafe { intrinsics::powf64(self, n) }
- }
-
- /// Takes the square root of a number.
- ///
- /// Returns NaN if `self` is a negative number.
- ///
- /// # Examples
- ///
- /// ```
- /// let positive = 4.0_f64;
- /// let negative = -4.0_f64;
- ///
- /// let abs_difference = (positive.sqrt() - 2.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// assert!(negative.sqrt().is_nan());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn sqrt(self) -> f64 {
- if self < 0.0 {
- NAN
- } else {
- unsafe { intrinsics::sqrtf64(self) }
- }
- }
-
- /// Returns `e^(self)`, (the exponential function).
- ///
- /// # Examples
- ///
- /// ```
- /// let one = 1.0_f64;
- /// // e^1
- /// let e = one.exp();
- ///
- /// // ln(e) - 1 == 0
- /// let abs_difference = (e.ln() - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn exp(self) -> f64 {
- unsafe { intrinsics::expf64(self) }
- }
-
- /// Returns `2^(self)`.
- ///
- /// # Examples
- ///
- /// ```
- /// let f = 2.0_f64;
- ///
- /// // 2^2 - 4 == 0
- /// let abs_difference = (f.exp2() - 4.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn exp2(self) -> f64 {
- unsafe { intrinsics::exp2f64(self) }
- }
-
- /// Returns the natural logarithm of the number.
- ///
- /// # Examples
- ///
- /// ```
- /// let one = 1.0_f64;
- /// // e^1
- /// let e = one.exp();
- ///
- /// // ln(e) - 1 == 0
- /// let abs_difference = (e.ln() - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn ln(self) -> f64 {
- self.log_wrapper(|n| { unsafe { intrinsics::logf64(n) } })
- }
-
- /// Returns the logarithm of the number with respect to an arbitrary base.
- ///
- /// The result may not be correctly rounded owing to implementation details;
- /// `self.log2()` can produce more accurate results for base 2, and
- /// `self.log10()` can produce more accurate results for base 10.
- ///
- /// # Examples
- ///
- /// ```
- /// let five = 5.0_f64;
- ///
- /// // log5(5) - 1 == 0
- /// let abs_difference = (five.log(5.0) - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn log(self, base: f64) -> f64 { self.ln() / base.ln() }
-
- /// Returns the base 2 logarithm of the number.
- ///
- /// # Examples
- ///
- /// ```
- /// let two = 2.0_f64;
- ///
- /// // log2(2) - 1 == 0
- /// let abs_difference = (two.log2() - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn log2(self) -> f64 {
- self.log_wrapper(|n| {
- #[cfg(target_os = "android")]
- return ::sys::android::log2f64(n);
- #[cfg(not(target_os = "android"))]
- return unsafe { intrinsics::log2f64(n) };
- })
- }
-
- /// Returns the base 10 logarithm of the number.
- ///
- /// # Examples
- ///
- /// ```
- /// let ten = 10.0_f64;
- ///
- /// // log10(10) - 1 == 0
- /// let abs_difference = (ten.log10() - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn log10(self) -> f64 {
- self.log_wrapper(|n| { unsafe { intrinsics::log10f64(n) } })
- }
-
- /// The positive difference of two numbers.
- ///
- /// * If `self <= other`: `0:0`
- /// * Else: `self - other`
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 3.0_f64;
- /// let y = -3.0_f64;
- ///
- /// let abs_difference_x = (x.abs_sub(1.0) - 2.0).abs();
- /// let abs_difference_y = (y.abs_sub(1.0) - 0.0).abs();
- ///
- /// assert!(abs_difference_x < 1e-10);
- /// assert!(abs_difference_y < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- #[rustc_deprecated(since = "1.10.0",
- reason = "you probably meant `(self - other).abs()`: \
- this operation is `(self - other).max(0.0)` (also \
- known as `fdim` in C). If you truly need the positive \
- difference, consider using that expression or the C function \
- `fdim`, depending on how you wish to handle NaN (please consider \
- filing an issue describing your use-case too).")]
- pub fn abs_sub(self, other: f64) -> f64 {
- unsafe { cmath::fdim(self, other) }
- }
-
- /// Takes the cubic root of a number.
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 8.0_f64;
- ///
- /// // x^(1/3) - 2 == 0
- /// let abs_difference = (x.cbrt() - 2.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn cbrt(self) -> f64 {
- unsafe { cmath::cbrt(self) }
- }
-
- /// Calculates the length of the hypotenuse of a right-angle triangle given
- /// legs of length `x` and `y`.
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 2.0_f64;
- /// let y = 3.0_f64;
- ///
- /// // sqrt(x^2 + y^2)
- /// let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn hypot(self, other: f64) -> f64 {
- unsafe { cmath::hypot(self, other) }
- }
-
- /// Computes the sine of a number (in radians).
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let x = f64::consts::PI/2.0;
- ///
- /// let abs_difference = (x.sin() - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn sin(self) -> f64 {
- unsafe { intrinsics::sinf64(self) }
- }
-
- /// Computes the cosine of a number (in radians).
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let x = 2.0*f64::consts::PI;
- ///
- /// let abs_difference = (x.cos() - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn cos(self) -> f64 {
- unsafe { intrinsics::cosf64(self) }
- }
-
- /// Computes the tangent of a number (in radians).
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let x = f64::consts::PI/4.0;
- /// let abs_difference = (x.tan() - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-14);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn tan(self) -> f64 {
- unsafe { cmath::tan(self) }
- }
-
- /// Computes the arcsine of a number. Return value is in radians in
- /// the range [-pi/2, pi/2] or NaN if the number is outside the range
- /// [-1, 1].
- ///
- /// # Examples
- ///
- /// ```
- /// 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);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn asin(self) -> f64 {
- unsafe { cmath::asin(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].
- ///
- /// # Examples
- ///
- /// ```
- /// 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);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn acos(self) -> f64 {
- unsafe { cmath::acos(self) }
- }
-
- /// Computes the arctangent of a number. Return value is in radians in the
- /// range [-pi/2, pi/2];
- ///
- /// # Examples
- ///
- /// ```
- /// let f = 1.0_f64;
- ///
- /// // atan(tan(1))
- /// let abs_difference = (f.tan().atan() - 1.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn atan(self) -> f64 {
- unsafe { cmath::atan(self) }
- }
-
- /// Computes the four quadrant arctangent of `self` (`y`) and `other` (`x`) in radians.
- ///
- /// * `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)`
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let pi = f64::consts::PI;
- /// // Positive angles measured counter-clockwise
- /// // from positive x axis
- /// // -pi/4 radians (45 deg clockwise)
- /// let x1 = 3.0_f64;
- /// let y1 = -3.0_f64;
- ///
- /// // 3pi/4 radians (135 deg counter-clockwise)
- /// let x2 = -3.0_f64;
- /// let y2 = 3.0_f64;
- ///
- /// 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);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn atan2(self, other: f64) -> f64 {
- unsafe { cmath::atan2(self, other) }
- }
-
- /// Simultaneously computes the sine and cosine of the number, `x`. Returns
- /// `(sin(x), cos(x))`.
- ///
- /// # Examples
- ///
- /// ```
- /// 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_1 < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn sin_cos(self) -> (f64, f64) {
- (self.sin(), self.cos())
- }
-
- /// Returns `e^(self) - 1` in a way that is accurate even if the
- /// number is close to zero.
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 7.0_f64;
- ///
- /// // e^(ln(7)) - 1
- /// let abs_difference = (x.ln().exp_m1() - 6.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn exp_m1(self) -> f64 {
- unsafe { cmath::expm1(self) }
- }
-
- /// Returns `ln(1+n)` (natural logarithm) more accurately than if
- /// the operations were performed separately.
- ///
- /// # Examples
- ///
- /// ```
- /// 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);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn ln_1p(self) -> f64 {
- unsafe { cmath::log1p(self) }
- }
-
- /// Hyperbolic sine function.
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let e = f64::consts::E;
- /// let x = 1.0_f64;
- ///
- /// 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);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn sinh(self) -> f64 {
- unsafe { cmath::sinh(self) }
- }
-
- /// Hyperbolic cosine function.
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let e = f64::consts::E;
- /// let x = 1.0_f64;
- /// 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);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn cosh(self) -> f64 {
- unsafe { cmath::cosh(self) }
- }
-
- /// Hyperbolic tangent function.
- ///
- /// # Examples
- ///
- /// ```
- /// use std::f64;
- ///
- /// let e = f64::consts::E;
- /// let x = 1.0_f64;
- ///
- /// 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);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn tanh(self) -> f64 {
- unsafe { cmath::tanh(self) }
- }
-
- /// Inverse hyperbolic sine function.
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 1.0_f64;
- /// let f = x.sinh().asinh();
- ///
- /// let abs_difference = (f - x).abs();
- ///
- /// assert!(abs_difference < 1.0e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn asinh(self) -> f64 {
- if self == NEG_INFINITY {
- NEG_INFINITY
- } else {
- (self + ((self * self) + 1.0).sqrt()).ln()
- }
- }
-
- /// Inverse hyperbolic cosine function.
- ///
- /// # Examples
- ///
- /// ```
- /// let x = 1.0_f64;
- /// let f = x.cosh().acosh();
- ///
- /// let abs_difference = (f - x).abs();
- ///
- /// assert!(abs_difference < 1.0e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn acosh(self) -> f64 {
- match self {
- x if x < 1.0 => NAN,
- x => (x + ((x * x) - 1.0).sqrt()).ln(),
- }
- }
-
- /// Inverse hyperbolic tangent function.
- ///
- /// # Examples
- ///
- /// ```
- /// 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);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn atanh(self) -> f64 {
- 0.5 * ((2.0 * self) / (1.0 - self)).ln_1p()
- }
-
- // Solaris/Illumos requires a wrapper around log, log2, and log10 functions
- // because of their non-standard behavior (e.g. log(-n) returns -Inf instead
- // of expected NaN).
- fn log_wrapper<F: Fn(f64) -> f64>(self, log_fn: F) -> f64 {
- if !cfg!(target_os = "solaris") {
- log_fn(self)
- } else {
- if self.is_finite() {
- if self > 0.0 {
- log_fn(self)
- } else if self == 0.0 {
- NEG_INFINITY // log(0) = -Inf
- } else {
- NAN // log(-n) = NaN
- }
- } else if self.is_nan() {
- self // log(NaN) = NaN
- } else if self > 0.0 {
- self // log(Inf) = Inf
- } else {
- NAN // log(-Inf) = NaN
- }
- }
- }
-}
-
-#[cfg(test)]
-mod tests {
- use f64;
- use f64::*;
- use num::*;
- use num::FpCategory as Fp;
-
- #[test]
- fn test_num_f64() {
- test_num(10f64, 2f64);
- }
-
- #[test]
- fn test_min_nan() {
- assert_eq!(NAN.min(2.0), 2.0);
- assert_eq!(2.0f64.min(NAN), 2.0);
- }
-
- #[test]
- fn test_max_nan() {
- assert_eq!(NAN.max(2.0), 2.0);
- assert_eq!(2.0f64.max(NAN), 2.0);
- }
-
- #[test]
- fn test_nan() {
- let nan: f64 = NAN;
- assert!(nan.is_nan());
- assert!(!nan.is_infinite());
- assert!(!nan.is_finite());
- assert!(!nan.is_normal());
- assert!(nan.is_sign_positive());
- assert!(!nan.is_sign_negative());
- assert_eq!(Fp::Nan, nan.classify());
- }
-
- #[test]
- fn test_infinity() {
- let inf: f64 = INFINITY;
- assert!(inf.is_infinite());
- assert!(!inf.is_finite());
- assert!(inf.is_sign_positive());
- assert!(!inf.is_sign_negative());
- assert!(!inf.is_nan());
- assert!(!inf.is_normal());
- assert_eq!(Fp::Infinite, inf.classify());
- }
-
- #[test]
- fn test_neg_infinity() {
- let neg_inf: f64 = NEG_INFINITY;
- assert!(neg_inf.is_infinite());
- assert!(!neg_inf.is_finite());
- assert!(!neg_inf.is_sign_positive());
- assert!(neg_inf.is_sign_negative());
- assert!(!neg_inf.is_nan());
- assert!(!neg_inf.is_normal());
- assert_eq!(Fp::Infinite, neg_inf.classify());
- }
-
- #[test]
- fn test_zero() {
- let zero: f64 = 0.0f64;
- assert_eq!(0.0, zero);
- assert!(!zero.is_infinite());
- assert!(zero.is_finite());
- assert!(zero.is_sign_positive());
- assert!(!zero.is_sign_negative());
- assert!(!zero.is_nan());
- assert!(!zero.is_normal());
- assert_eq!(Fp::Zero, zero.classify());
- }
-
- #[test]
- fn test_neg_zero() {
- let neg_zero: f64 = -0.0;
- assert_eq!(0.0, neg_zero);
- assert!(!neg_zero.is_infinite());
- assert!(neg_zero.is_finite());
- assert!(!neg_zero.is_sign_positive());
- assert!(neg_zero.is_sign_negative());
- assert!(!neg_zero.is_nan());
- assert!(!neg_zero.is_normal());
- assert_eq!(Fp::Zero, neg_zero.classify());
- }
-
- #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630
- #[test]
- fn test_one() {
- let one: f64 = 1.0f64;
- assert_eq!(1.0, one);
- assert!(!one.is_infinite());
- assert!(one.is_finite());
- assert!(one.is_sign_positive());
- assert!(!one.is_sign_negative());
- assert!(!one.is_nan());
- assert!(one.is_normal());
- assert_eq!(Fp::Normal, one.classify());
- }
-
- #[test]
- fn test_is_nan() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert!(nan.is_nan());
- assert!(!0.0f64.is_nan());
- assert!(!5.3f64.is_nan());
- assert!(!(-10.732f64).is_nan());
- assert!(!inf.is_nan());
- assert!(!neg_inf.is_nan());
- }
-
- #[test]
- fn test_is_infinite() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert!(!nan.is_infinite());
- assert!(inf.is_infinite());
- assert!(neg_inf.is_infinite());
- assert!(!0.0f64.is_infinite());
- assert!(!42.8f64.is_infinite());
- assert!(!(-109.2f64).is_infinite());
- }
-
- #[test]
- fn test_is_finite() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert!(!nan.is_finite());
- assert!(!inf.is_finite());
- assert!(!neg_inf.is_finite());
- assert!(0.0f64.is_finite());
- assert!(42.8f64.is_finite());
- assert!((-109.2f64).is_finite());
- }
-
- #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630
- #[test]
- fn test_is_normal() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let zero: f64 = 0.0f64;
- let neg_zero: f64 = -0.0;
- assert!(!nan.is_normal());
- assert!(!inf.is_normal());
- assert!(!neg_inf.is_normal());
- assert!(!zero.is_normal());
- assert!(!neg_zero.is_normal());
- assert!(1f64.is_normal());
- assert!(1e-307f64.is_normal());
- assert!(!1e-308f64.is_normal());
- }
-
- #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630
- #[test]
- fn test_classify() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let zero: f64 = 0.0f64;
- let neg_zero: f64 = -0.0;
- assert_eq!(nan.classify(), Fp::Nan);
- assert_eq!(inf.classify(), Fp::Infinite);
- assert_eq!(neg_inf.classify(), Fp::Infinite);
- assert_eq!(zero.classify(), Fp::Zero);
- assert_eq!(neg_zero.classify(), Fp::Zero);
- assert_eq!(1e-307f64.classify(), Fp::Normal);
- assert_eq!(1e-308f64.classify(), Fp::Subnormal);
- }
-
- #[test]
- fn test_floor() {
- assert_approx_eq!(1.0f64.floor(), 1.0f64);
- assert_approx_eq!(1.3f64.floor(), 1.0f64);
- assert_approx_eq!(1.5f64.floor(), 1.0f64);
- assert_approx_eq!(1.7f64.floor(), 1.0f64);
- assert_approx_eq!(0.0f64.floor(), 0.0f64);
- assert_approx_eq!((-0.0f64).floor(), -0.0f64);
- assert_approx_eq!((-1.0f64).floor(), -1.0f64);
- assert_approx_eq!((-1.3f64).floor(), -2.0f64);
- assert_approx_eq!((-1.5f64).floor(), -2.0f64);
- assert_approx_eq!((-1.7f64).floor(), -2.0f64);
- }
-
- #[test]
- fn test_ceil() {
- assert_approx_eq!(1.0f64.ceil(), 1.0f64);
- assert_approx_eq!(1.3f64.ceil(), 2.0f64);
- assert_approx_eq!(1.5f64.ceil(), 2.0f64);
- assert_approx_eq!(1.7f64.ceil(), 2.0f64);
- assert_approx_eq!(0.0f64.ceil(), 0.0f64);
- assert_approx_eq!((-0.0f64).ceil(), -0.0f64);
- assert_approx_eq!((-1.0f64).ceil(), -1.0f64);
- assert_approx_eq!((-1.3f64).ceil(), -1.0f64);
- assert_approx_eq!((-1.5f64).ceil(), -1.0f64);
- assert_approx_eq!((-1.7f64).ceil(), -1.0f64);
- }
-
- #[test]
- fn test_round() {
- assert_approx_eq!(1.0f64.round(), 1.0f64);
- assert_approx_eq!(1.3f64.round(), 1.0f64);
- assert_approx_eq!(1.5f64.round(), 2.0f64);
- assert_approx_eq!(1.7f64.round(), 2.0f64);
- assert_approx_eq!(0.0f64.round(), 0.0f64);
- assert_approx_eq!((-0.0f64).round(), -0.0f64);
- assert_approx_eq!((-1.0f64).round(), -1.0f64);
- assert_approx_eq!((-1.3f64).round(), -1.0f64);
- assert_approx_eq!((-1.5f64).round(), -2.0f64);
- assert_approx_eq!((-1.7f64).round(), -2.0f64);
- }
-
- #[test]
- fn test_trunc() {
- assert_approx_eq!(1.0f64.trunc(), 1.0f64);
- assert_approx_eq!(1.3f64.trunc(), 1.0f64);
- assert_approx_eq!(1.5f64.trunc(), 1.0f64);
- assert_approx_eq!(1.7f64.trunc(), 1.0f64);
- assert_approx_eq!(0.0f64.trunc(), 0.0f64);
- assert_approx_eq!((-0.0f64).trunc(), -0.0f64);
- assert_approx_eq!((-1.0f64).trunc(), -1.0f64);
- assert_approx_eq!((-1.3f64).trunc(), -1.0f64);
- assert_approx_eq!((-1.5f64).trunc(), -1.0f64);
- assert_approx_eq!((-1.7f64).trunc(), -1.0f64);
- }
-
- #[test]
- fn test_fract() {
- assert_approx_eq!(1.0f64.fract(), 0.0f64);
- assert_approx_eq!(1.3f64.fract(), 0.3f64);
- assert_approx_eq!(1.5f64.fract(), 0.5f64);
- assert_approx_eq!(1.7f64.fract(), 0.7f64);
- assert_approx_eq!(0.0f64.fract(), 0.0f64);
- assert_approx_eq!((-0.0f64).fract(), -0.0f64);
- assert_approx_eq!((-1.0f64).fract(), -0.0f64);
- assert_approx_eq!((-1.3f64).fract(), -0.3f64);
- assert_approx_eq!((-1.5f64).fract(), -0.5f64);
- assert_approx_eq!((-1.7f64).fract(), -0.7f64);
- }
-
- #[test]
- fn test_abs() {
- assert_eq!(INFINITY.abs(), INFINITY);
- assert_eq!(1f64.abs(), 1f64);
- assert_eq!(0f64.abs(), 0f64);
- assert_eq!((-0f64).abs(), 0f64);
- assert_eq!((-1f64).abs(), 1f64);
- assert_eq!(NEG_INFINITY.abs(), INFINITY);
- assert_eq!((1f64/NEG_INFINITY).abs(), 0f64);
- assert!(NAN.abs().is_nan());
- }
-
- #[test]
- fn test_signum() {
- assert_eq!(INFINITY.signum(), 1f64);
- assert_eq!(1f64.signum(), 1f64);
- assert_eq!(0f64.signum(), 1f64);
- assert_eq!((-0f64).signum(), -1f64);
- assert_eq!((-1f64).signum(), -1f64);
- assert_eq!(NEG_INFINITY.signum(), -1f64);
- assert_eq!((1f64/NEG_INFINITY).signum(), -1f64);
- assert!(NAN.signum().is_nan());
- }
-
- #[test]
- fn test_is_sign_positive() {
- assert!(INFINITY.is_sign_positive());
- assert!(1f64.is_sign_positive());
- assert!(0f64.is_sign_positive());
- assert!(!(-0f64).is_sign_positive());
- assert!(!(-1f64).is_sign_positive());
- assert!(!NEG_INFINITY.is_sign_positive());
- assert!(!(1f64/NEG_INFINITY).is_sign_positive());
- assert!(NAN.is_sign_positive());
- assert!(!(-NAN).is_sign_positive());
- }
-
- #[test]
- fn test_is_sign_negative() {
- assert!(!INFINITY.is_sign_negative());
- assert!(!1f64.is_sign_negative());
- assert!(!0f64.is_sign_negative());
- assert!((-0f64).is_sign_negative());
- assert!((-1f64).is_sign_negative());
- assert!(NEG_INFINITY.is_sign_negative());
- assert!((1f64/NEG_INFINITY).is_sign_negative());
- assert!(!NAN.is_sign_negative());
- assert!((-NAN).is_sign_negative());
- }
-
- #[test]
- fn test_mul_add() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_approx_eq!(12.3f64.mul_add(4.5, 6.7), 62.05);
- assert_approx_eq!((-12.3f64).mul_add(-4.5, -6.7), 48.65);
- assert_approx_eq!(0.0f64.mul_add(8.9, 1.2), 1.2);
- assert_approx_eq!(3.4f64.mul_add(-0.0, 5.6), 5.6);
- assert!(nan.mul_add(7.8, 9.0).is_nan());
- assert_eq!(inf.mul_add(7.8, 9.0), inf);
- assert_eq!(neg_inf.mul_add(7.8, 9.0), neg_inf);
- assert_eq!(8.9f64.mul_add(inf, 3.2), inf);
- assert_eq!((-3.2f64).mul_add(2.4, neg_inf), neg_inf);
- }
-
- #[test]
- fn test_recip() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_eq!(1.0f64.recip(), 1.0);
- assert_eq!(2.0f64.recip(), 0.5);
- assert_eq!((-0.4f64).recip(), -2.5);
- assert_eq!(0.0f64.recip(), inf);
- assert!(nan.recip().is_nan());
- assert_eq!(inf.recip(), 0.0);
- assert_eq!(neg_inf.recip(), 0.0);
- }
-
- #[test]
- fn test_powi() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_eq!(1.0f64.powi(1), 1.0);
- assert_approx_eq!((-3.1f64).powi(2), 9.61);
- assert_approx_eq!(5.9f64.powi(-2), 0.028727);
- assert_eq!(8.3f64.powi(0), 1.0);
- assert!(nan.powi(2).is_nan());
- assert_eq!(inf.powi(3), inf);
- assert_eq!(neg_inf.powi(2), inf);
- }
-
- #[test]
- fn test_powf() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_eq!(1.0f64.powf(1.0), 1.0);
- assert_approx_eq!(3.4f64.powf(4.5), 246.408183);
- assert_approx_eq!(2.7f64.powf(-3.2), 0.041652);
- assert_approx_eq!((-3.1f64).powf(2.0), 9.61);
- assert_approx_eq!(5.9f64.powf(-2.0), 0.028727);
- assert_eq!(8.3f64.powf(0.0), 1.0);
- assert!(nan.powf(2.0).is_nan());
- assert_eq!(inf.powf(2.0), inf);
- assert_eq!(neg_inf.powf(3.0), neg_inf);
- }
-
- #[test]
- fn test_sqrt_domain() {
- assert!(NAN.sqrt().is_nan());
- assert!(NEG_INFINITY.sqrt().is_nan());
- assert!((-1.0f64).sqrt().is_nan());
- assert_eq!((-0.0f64).sqrt(), -0.0);
- assert_eq!(0.0f64.sqrt(), 0.0);
- assert_eq!(1.0f64.sqrt(), 1.0);
- assert_eq!(INFINITY.sqrt(), INFINITY);
- }
-
- #[test]
- fn test_exp() {
- assert_eq!(1.0, 0.0f64.exp());
- assert_approx_eq!(2.718282, 1.0f64.exp());
- assert_approx_eq!(148.413159, 5.0f64.exp());
-
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let nan: f64 = NAN;
- assert_eq!(inf, inf.exp());
- assert_eq!(0.0, neg_inf.exp());
- assert!(nan.exp().is_nan());
- }
-
- #[test]
- fn test_exp2() {
- assert_eq!(32.0, 5.0f64.exp2());
- assert_eq!(1.0, 0.0f64.exp2());
-
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let nan: f64 = NAN;
- assert_eq!(inf, inf.exp2());
- assert_eq!(0.0, neg_inf.exp2());
- assert!(nan.exp2().is_nan());
- }
-
- #[test]
- fn test_ln() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_approx_eq!(1.0f64.exp().ln(), 1.0);
- assert!(nan.ln().is_nan());
- assert_eq!(inf.ln(), inf);
- assert!(neg_inf.ln().is_nan());
- assert!((-2.3f64).ln().is_nan());
- assert_eq!((-0.0f64).ln(), neg_inf);
- assert_eq!(0.0f64.ln(), neg_inf);
- assert_approx_eq!(4.0f64.ln(), 1.386294);
- }
-
- #[test]
- fn test_log() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_eq!(10.0f64.log(10.0), 1.0);
- assert_approx_eq!(2.3f64.log(3.5), 0.664858);
- assert_eq!(1.0f64.exp().log(1.0f64.exp()), 1.0);
- assert!(1.0f64.log(1.0).is_nan());
- assert!(1.0f64.log(-13.9).is_nan());
- assert!(nan.log(2.3).is_nan());
- assert_eq!(inf.log(10.0), inf);
- assert!(neg_inf.log(8.8).is_nan());
- assert!((-2.3f64).log(0.1).is_nan());
- assert_eq!((-0.0f64).log(2.0), neg_inf);
- assert_eq!(0.0f64.log(7.0), neg_inf);
- }
-
- #[test]
- fn test_log2() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_approx_eq!(10.0f64.log2(), 3.321928);
- assert_approx_eq!(2.3f64.log2(), 1.201634);
- assert_approx_eq!(1.0f64.exp().log2(), 1.442695);
- assert!(nan.log2().is_nan());
- assert_eq!(inf.log2(), inf);
- assert!(neg_inf.log2().is_nan());
- assert!((-2.3f64).log2().is_nan());
- assert_eq!((-0.0f64).log2(), neg_inf);
- assert_eq!(0.0f64.log2(), neg_inf);
- }
-
- #[test]
- fn test_log10() {
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_eq!(10.0f64.log10(), 1.0);
- assert_approx_eq!(2.3f64.log10(), 0.361728);
- assert_approx_eq!(1.0f64.exp().log10(), 0.434294);
- assert_eq!(1.0f64.log10(), 0.0);
- assert!(nan.log10().is_nan());
- assert_eq!(inf.log10(), inf);
- assert!(neg_inf.log10().is_nan());
- assert!((-2.3f64).log10().is_nan());
- assert_eq!((-0.0f64).log10(), neg_inf);
- assert_eq!(0.0f64.log10(), neg_inf);
- }
-
- #[test]
- fn test_to_degrees() {
- let pi: f64 = consts::PI;
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_eq!(0.0f64.to_degrees(), 0.0);
- assert_approx_eq!((-5.8f64).to_degrees(), -332.315521);
- assert_eq!(pi.to_degrees(), 180.0);
- assert!(nan.to_degrees().is_nan());
- assert_eq!(inf.to_degrees(), inf);
- assert_eq!(neg_inf.to_degrees(), neg_inf);
- }
-
- #[test]
- fn test_to_radians() {
- let pi: f64 = consts::PI;
- let nan: f64 = NAN;
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- assert_eq!(0.0f64.to_radians(), 0.0);
- assert_approx_eq!(154.6f64.to_radians(), 2.698279);
- assert_approx_eq!((-332.31f64).to_radians(), -5.799903);
- assert_eq!(180.0f64.to_radians(), pi);
- assert!(nan.to_radians().is_nan());
- assert_eq!(inf.to_radians(), inf);
- assert_eq!(neg_inf.to_radians(), neg_inf);
- }
-
- #[test]
- fn test_asinh() {
- assert_eq!(0.0f64.asinh(), 0.0f64);
- assert_eq!((-0.0f64).asinh(), -0.0f64);
-
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let nan: f64 = NAN;
- assert_eq!(inf.asinh(), inf);
- assert_eq!(neg_inf.asinh(), neg_inf);
- assert!(nan.asinh().is_nan());
- assert_approx_eq!(2.0f64.asinh(), 1.443635475178810342493276740273105f64);
- assert_approx_eq!((-2.0f64).asinh(), -1.443635475178810342493276740273105f64);
- }
-
- #[test]
- fn test_acosh() {
- assert_eq!(1.0f64.acosh(), 0.0f64);
- assert!(0.999f64.acosh().is_nan());
-
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let nan: f64 = NAN;
- assert_eq!(inf.acosh(), inf);
- assert!(neg_inf.acosh().is_nan());
- assert!(nan.acosh().is_nan());
- assert_approx_eq!(2.0f64.acosh(), 1.31695789692481670862504634730796844f64);
- assert_approx_eq!(3.0f64.acosh(), 1.76274717403908605046521864995958461f64);
- }
-
- #[test]
- fn test_atanh() {
- assert_eq!(0.0f64.atanh(), 0.0f64);
- assert_eq!((-0.0f64).atanh(), -0.0f64);
-
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let nan: f64 = NAN;
- assert_eq!(1.0f64.atanh(), inf);
- assert_eq!((-1.0f64).atanh(), neg_inf);
- assert!(2f64.atanh().atanh().is_nan());
- assert!((-2f64).atanh().atanh().is_nan());
- assert!(inf.atanh().is_nan());
- assert!(neg_inf.atanh().is_nan());
- assert!(nan.atanh().is_nan());
- assert_approx_eq!(0.5f64.atanh(), 0.54930614433405484569762261846126285f64);
- assert_approx_eq!((-0.5f64).atanh(), -0.54930614433405484569762261846126285f64);
- }
-
- #[test]
- fn test_real_consts() {
- use super::consts;
- let pi: f64 = consts::PI;
- let frac_pi_2: f64 = consts::FRAC_PI_2;
- let frac_pi_3: f64 = consts::FRAC_PI_3;
- let frac_pi_4: f64 = consts::FRAC_PI_4;
- let frac_pi_6: f64 = consts::FRAC_PI_6;
- let frac_pi_8: f64 = consts::FRAC_PI_8;
- let frac_1_pi: f64 = consts::FRAC_1_PI;
- let frac_2_pi: f64 = consts::FRAC_2_PI;
- let frac_2_sqrtpi: f64 = consts::FRAC_2_SQRT_PI;
- let sqrt2: f64 = consts::SQRT_2;
- let frac_1_sqrt2: f64 = consts::FRAC_1_SQRT_2;
- let e: f64 = consts::E;
- let log2_e: f64 = consts::LOG2_E;
- let log10_e: f64 = consts::LOG10_E;
- let ln_2: f64 = consts::LN_2;
- let ln_10: f64 = consts::LN_10;
-
- assert_approx_eq!(frac_pi_2, pi / 2f64);
- assert_approx_eq!(frac_pi_3, pi / 3f64);
- assert_approx_eq!(frac_pi_4, pi / 4f64);
- assert_approx_eq!(frac_pi_6, pi / 6f64);
- assert_approx_eq!(frac_pi_8, pi / 8f64);
- assert_approx_eq!(frac_1_pi, 1f64 / pi);
- assert_approx_eq!(frac_2_pi, 2f64 / pi);
- assert_approx_eq!(frac_2_sqrtpi, 2f64 / pi.sqrt());
- assert_approx_eq!(sqrt2, 2f64.sqrt());
- assert_approx_eq!(frac_1_sqrt2, 1f64 / 2f64.sqrt());
- assert_approx_eq!(log2_e, e.log2());
- assert_approx_eq!(log10_e, e.log10());
- assert_approx_eq!(ln_2, 2f64.ln());
- assert_approx_eq!(ln_10, 10f64.ln());
- }
-
- #[test]
- fn test_float_bits_conv() {
- assert_eq!((1f64).to_bits(), 0x3ff0000000000000);
- assert_eq!((12.5f64).to_bits(), 0x4029000000000000);
- assert_eq!((1337f64).to_bits(), 0x4094e40000000000);
- assert_eq!((-14.25f64).to_bits(), 0xc02c800000000000);
- assert_approx_eq!(f64::from_bits(0x3ff0000000000000), 1.0);
- assert_approx_eq!(f64::from_bits(0x4029000000000000), 12.5);
- assert_approx_eq!(f64::from_bits(0x4094e40000000000), 1337.0);
- assert_approx_eq!(f64::from_bits(0xc02c800000000000), -14.25);
-
- // Check that NaNs roundtrip their bits regardless of signalingness
- // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits
- let masked_nan1 = f64::NAN.to_bits() ^ 0x000A_AAAA_AAAA_AAAA;
- let masked_nan2 = f64::NAN.to_bits() ^ 0x0005_5555_5555_5555;
- assert!(f64::from_bits(masked_nan1).is_nan());
- assert!(f64::from_bits(masked_nan2).is_nan());
-
- assert_eq!(f64::from_bits(masked_nan1).to_bits(), masked_nan1);
- assert_eq!(f64::from_bits(masked_nan2).to_bits(), masked_nan2);
- }
-}