From 64423f0e34cc4a7d78c15b345b3b8f58243d8286 Mon Sep 17 00:00:00 2001 From: Vivian Lim Date: Sat, 6 Feb 2021 22:11:59 -0800 Subject: Delete ctr-std to use my fork of the rust repo instead --- ctr-std/src/f32.rs | 1539 ---------------------------------------------------- 1 file changed, 1539 deletions(-) delete mode 100644 ctr-std/src/f32.rs (limited to 'ctr-std/src/f32.rs') diff --git a/ctr-std/src/f32.rs b/ctr-std/src/f32.rs deleted file mode 100644 index 8e8340b..0000000 --- a/ctr-std/src/f32.rs +++ /dev/null @@ -1,1539 +0,0 @@ -// 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 or the MIT license -// , 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 `f32` floating point data type. -//! -//! *[See also the `f32` primitive type](../../std/primitive.f32.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::f32::{RADIX, MANTISSA_DIGITS, DIGITS, EPSILON}; -#[stable(feature = "rust1", since = "1.0.0")] -pub use core::f32::{MIN_EXP, MAX_EXP, MIN_10_EXP}; -#[stable(feature = "rust1", since = "1.0.0")] -pub use core::f32::{MAX_10_EXP, NAN, INFINITY, NEG_INFINITY}; -#[stable(feature = "rust1", since = "1.0.0")] -pub use core::f32::{MIN, MIN_POSITIVE, MAX}; -#[stable(feature = "rust1", since = "1.0.0")] -pub use core::f32::consts; - -#[cfg(not(test))] -#[lang = "f32_runtime"] -impl f32 { - /// Returns the largest integer less than or equal to a number. - /// - /// # Examples - /// - /// ``` - /// let f = 3.99_f32; - /// let g = 3.0_f32; - /// - /// assert_eq!(f.floor(), 3.0); - /// assert_eq!(g.floor(), 3.0); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn floor(self) -> f32 { - // On MSVC LLVM will lower many math intrinsics to a call to the - // corresponding function. On MSVC, however, many of these functions - // aren't actually available as symbols to call, but rather they are all - // `static inline` functions in header files. This means that from a C - // perspective it's "compatible", but not so much from an ABI - // perspective (which we're worried about). - // - // The inline header functions always just cast to a f64 and do their - // operation, so we do that here as well, but only for MSVC targets. - // - // Note that there are many MSVC-specific float operations which - // redirect to this comment, so `floorf` is just one case of a missing - // function on MSVC, but there are many others elsewhere. - #[cfg(target_env = "msvc")] - return (self as f64).floor() as f32; - #[cfg(not(target_env = "msvc"))] - return unsafe { intrinsics::floorf32(self) }; - } - - /// Returns the smallest integer greater than or equal to a number. - /// - /// # Examples - /// - /// ``` - /// let f = 3.01_f32; - /// let g = 4.0_f32; - /// - /// assert_eq!(f.ceil(), 4.0); - /// assert_eq!(g.ceil(), 4.0); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn ceil(self) -> f32 { - // see notes above in `floor` - #[cfg(target_env = "msvc")] - return (self as f64).ceil() as f32; - #[cfg(not(target_env = "msvc"))] - return unsafe { intrinsics::ceilf32(self) }; - } - - /// Returns the nearest integer to a number. Round half-way cases away from - /// `0.0`. - /// - /// # Examples - /// - /// ``` - /// let f = 3.3_f32; - /// let g = -3.3_f32; - /// - /// assert_eq!(f.round(), 3.0); - /// assert_eq!(g.round(), -3.0); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn round(self) -> f32 { - unsafe { intrinsics::roundf32(self) } - } - - /// Returns the integer part of a number. - /// - /// # Examples - /// - /// ``` - /// let f = 3.3_f32; - /// let g = -3.7_f32; - /// - /// assert_eq!(f.trunc(), 3.0); - /// assert_eq!(g.trunc(), -3.0); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn trunc(self) -> f32 { - unsafe { intrinsics::truncf32(self) } - } - - /// Returns the fractional part of a number. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 3.5_f32; - /// let y = -3.5_f32; - /// let abs_difference_x = (x.fract() - 0.5).abs(); - /// let abs_difference_y = (y.fract() - (-0.5)).abs(); - /// - /// assert!(abs_difference_x <= f32::EPSILON); - /// assert!(abs_difference_y <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn fract(self) -> f32 { self - self.trunc() } - - /// Computes the absolute value of `self`. Returns `NAN` if the - /// number is `NAN`. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 3.5_f32; - /// let y = -3.5_f32; - /// - /// let abs_difference_x = (x.abs() - x).abs(); - /// let abs_difference_y = (y.abs() - (-y)).abs(); - /// - /// assert!(abs_difference_x <= f32::EPSILON); - /// assert!(abs_difference_y <= f32::EPSILON); - /// - /// assert!(f32::NAN.abs().is_nan()); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn abs(self) -> f32 { - unsafe { intrinsics::fabsf32(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::f32; - /// - /// let f = 3.5_f32; - /// - /// assert_eq!(f.signum(), 1.0); - /// assert_eq!(f32::NEG_INFINITY.signum(), -1.0); - /// - /// assert!(f32::NAN.signum().is_nan()); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn signum(self) -> f32 { - if self.is_nan() { - NAN - } else { - unsafe { intrinsics::copysignf32(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 - /// - /// ``` - /// use std::f32; - /// - /// let m = 10.0_f32; - /// let x = 4.0_f32; - /// let b = 60.0_f32; - /// - /// // 100.0 - /// let abs_difference = (m.mul_add(x, b) - (m*x + b)).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn mul_add(self, a: f32, b: f32) -> f32 { - unsafe { intrinsics::fmaf32(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: f32 = 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: f32) -> f32 { - 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: f32 = 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::f32::EPSILON).mod_euc(3.0) != 0.0); - /// ``` - #[inline] - #[unstable(feature = "euclidean_division", issue = "49048")] - pub fn mod_euc(self, rhs: f32) -> f32 { - 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 - /// - /// ``` - /// use std::f32; - /// - /// let x = 2.0_f32; - /// let abs_difference = (x.powi(2) - x*x).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn powi(self, n: i32) -> f32 { - unsafe { intrinsics::powif32(self, n) } - } - - /// Raises a number to a floating point power. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 2.0_f32; - /// let abs_difference = (x.powf(2.0) - x*x).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn powf(self, n: f32) -> f32 { - // see notes above in `floor` - #[cfg(target_env = "msvc")] - return (self as f64).powf(n as f64) as f32; - #[cfg(not(target_env = "msvc"))] - return unsafe { intrinsics::powf32(self, n) }; - } - - /// Takes the square root of a number. - /// - /// Returns NaN if `self` is a negative number. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let positive = 4.0_f32; - /// let negative = -4.0_f32; - /// - /// let abs_difference = (positive.sqrt() - 2.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// assert!(negative.sqrt().is_nan()); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn sqrt(self) -> f32 { - if self < 0.0 { - NAN - } else { - unsafe { intrinsics::sqrtf32(self) } - } - } - - /// Returns `e^(self)`, (the exponential function). - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let one = 1.0f32; - /// // e^1 - /// let e = one.exp(); - /// - /// // ln(e) - 1 == 0 - /// let abs_difference = (e.ln() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn exp(self) -> f32 { - // see notes above in `floor` - #[cfg(target_env = "msvc")] - return (self as f64).exp() as f32; - #[cfg(not(target_env = "msvc"))] - return unsafe { intrinsics::expf32(self) }; - } - - /// Returns `2^(self)`. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let f = 2.0f32; - /// - /// // 2^2 - 4 == 0 - /// let abs_difference = (f.exp2() - 4.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn exp2(self) -> f32 { - unsafe { intrinsics::exp2f32(self) } - } - - /// Returns the natural logarithm of the number. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let one = 1.0f32; - /// // e^1 - /// let e = one.exp(); - /// - /// // ln(e) - 1 == 0 - /// let abs_difference = (e.ln() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn ln(self) -> f32 { - // see notes above in `floor` - #[cfg(target_env = "msvc")] - return (self as f64).ln() as f32; - #[cfg(not(target_env = "msvc"))] - return unsafe { intrinsics::logf32(self) }; - } - - /// 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 - /// - /// ``` - /// use std::f32; - /// - /// let five = 5.0f32; - /// - /// // log5(5) - 1 == 0 - /// let abs_difference = (five.log(5.0) - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn log(self, base: f32) -> f32 { self.ln() / base.ln() } - - /// Returns the base 2 logarithm of the number. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let two = 2.0f32; - /// - /// // log2(2) - 1 == 0 - /// let abs_difference = (two.log2() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn log2(self) -> f32 { - #[cfg(target_os = "android")] - return ::sys::android::log2f32(self); - #[cfg(not(target_os = "android"))] - return unsafe { intrinsics::log2f32(self) }; - } - - /// Returns the base 10 logarithm of the number. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let ten = 10.0f32; - /// - /// // log10(10) - 1 == 0 - /// let abs_difference = (ten.log10() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn log10(self) -> f32 { - // see notes above in `floor` - #[cfg(target_env = "msvc")] - return (self as f64).log10() as f32; - #[cfg(not(target_env = "msvc"))] - return unsafe { intrinsics::log10f32(self) }; - } - - /// The positive difference of two numbers. - /// - /// * If `self <= other`: `0:0` - /// * Else: `self - other` - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 3.0f32; - /// let y = -3.0f32; - /// - /// 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 <= f32::EPSILON); - /// assert!(abs_difference_y <= f32::EPSILON); - /// ``` - #[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 `fdimf` in C). If you truly need the positive \ - difference, consider using that expression or the C function \ - `fdimf`, depending on how you wish to handle NaN (please consider \ - filing an issue describing your use-case too).")] - pub fn abs_sub(self, other: f32) -> f32 { - unsafe { cmath::fdimf(self, other) } - } - - /// Takes the cubic root of a number. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 8.0f32; - /// - /// // x^(1/3) - 2 == 0 - /// let abs_difference = (x.cbrt() - 2.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn cbrt(self) -> f32 { - unsafe { cmath::cbrtf(self) } - } - - /// Calculates the length of the hypotenuse of a right-angle triangle given - /// legs of length `x` and `y`. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 2.0f32; - /// let y = 3.0f32; - /// - /// // sqrt(x^2 + y^2) - /// let abs_difference = (x.hypot(y) - (x.powi(2) + y.powi(2)).sqrt()).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn hypot(self, other: f32) -> f32 { - unsafe { cmath::hypotf(self, other) } - } - - /// Computes the sine of a number (in radians). - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = f32::consts::PI/2.0; - /// - /// let abs_difference = (x.sin() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn sin(self) -> f32 { - // see notes in `core::f32::Float::floor` - #[cfg(target_env = "msvc")] - return (self as f64).sin() as f32; - #[cfg(not(target_env = "msvc"))] - return unsafe { intrinsics::sinf32(self) }; - } - - /// Computes the cosine of a number (in radians). - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 2.0*f32::consts::PI; - /// - /// let abs_difference = (x.cos() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn cos(self) -> f32 { - // see notes in `core::f32::Float::floor` - #[cfg(target_env = "msvc")] - return (self as f64).cos() as f32; - #[cfg(not(target_env = "msvc"))] - return unsafe { intrinsics::cosf32(self) }; - } - - /// Computes the tangent of a number (in radians). - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = f32::consts::PI / 4.0; - /// let abs_difference = (x.tan() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn tan(self) -> f32 { - unsafe { cmath::tanf(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::f32; - /// - /// let f = f32::consts::PI / 2.0; - /// - /// // asin(sin(pi/2)) - /// let abs_difference = (f.sin().asin() - f32::consts::PI / 2.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn asin(self) -> f32 { - unsafe { cmath::asinf(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::f32; - /// - /// let f = f32::consts::PI / 4.0; - /// - /// // acos(cos(pi/4)) - /// let abs_difference = (f.cos().acos() - f32::consts::PI / 4.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn acos(self) -> f32 { - unsafe { cmath::acosf(self) } - } - - /// Computes the arctangent of a number. Return value is in radians in the - /// range [-pi/2, pi/2]; - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let f = 1.0f32; - /// - /// // atan(tan(1)) - /// let abs_difference = (f.tan().atan() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn atan(self) -> f32 { - unsafe { cmath::atanf(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::f32; - /// - /// let pi = f32::consts::PI; - /// // Positive angles measured counter-clockwise - /// // from positive x axis - /// // -pi/4 radians (45 deg clockwise) - /// let x1 = 3.0f32; - /// let y1 = -3.0f32; - /// - /// // 3pi/4 radians (135 deg counter-clockwise) - /// let x2 = -3.0f32; - /// let y2 = 3.0f32; - /// - /// 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 <= f32::EPSILON); - /// assert!(abs_difference_2 <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn atan2(self, other: f32) -> f32 { - unsafe { cmath::atan2f(self, other) } - } - - /// Simultaneously computes the sine and cosine of the number, `x`. Returns - /// `(sin(x), cos(x))`. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = f32::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 <= f32::EPSILON); - /// assert!(abs_difference_1 <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn sin_cos(self) -> (f32, f32) { - (self.sin(), self.cos()) - } - - /// Returns `e^(self) - 1` in a way that is accurate even if the - /// number is close to zero. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 6.0f32; - /// - /// // e^(ln(6)) - 1 - /// let abs_difference = (x.ln().exp_m1() - 5.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn exp_m1(self) -> f32 { - unsafe { cmath::expm1f(self) } - } - - /// Returns `ln(1+n)` (natural logarithm) more accurately than if - /// the operations were performed separately. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = f32::consts::E - 1.0; - /// - /// // ln(1 + (e - 1)) == ln(e) == 1 - /// let abs_difference = (x.ln_1p() - 1.0).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn ln_1p(self) -> f32 { - unsafe { cmath::log1pf(self) } - } - - /// Hyperbolic sine function. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let e = f32::consts::E; - /// let x = 1.0f32; - /// - /// 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 <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn sinh(self) -> f32 { - unsafe { cmath::sinhf(self) } - } - - /// Hyperbolic cosine function. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let e = f32::consts::E; - /// let x = 1.0f32; - /// 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 <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn cosh(self) -> f32 { - unsafe { cmath::coshf(self) } - } - - /// Hyperbolic tangent function. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let e = f32::consts::E; - /// let x = 1.0f32; - /// - /// 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 <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn tanh(self) -> f32 { - unsafe { cmath::tanhf(self) } - } - - /// Inverse hyperbolic sine function. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 1.0f32; - /// let f = x.sinh().asinh(); - /// - /// let abs_difference = (f - x).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn asinh(self) -> f32 { - if self == NEG_INFINITY { - NEG_INFINITY - } else { - (self + ((self * self) + 1.0).sqrt()).ln() - } - } - - /// Inverse hyperbolic cosine function. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let x = 1.0f32; - /// let f = x.cosh().acosh(); - /// - /// let abs_difference = (f - x).abs(); - /// - /// assert!(abs_difference <= f32::EPSILON); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn acosh(self) -> f32 { - match self { - x if x < 1.0 => ::f32::NAN, - x => (x + ((x * x) - 1.0).sqrt()).ln(), - } - } - - /// Inverse hyperbolic tangent function. - /// - /// # Examples - /// - /// ``` - /// use std::f32; - /// - /// let e = f32::consts::E; - /// let f = e.tanh().atanh(); - /// - /// let abs_difference = (f - e).abs(); - /// - /// assert!(abs_difference <= 1e-5); - /// ``` - #[stable(feature = "rust1", since = "1.0.0")] - #[inline] - pub fn atanh(self) -> f32 { - 0.5 * ((2.0 * self) / (1.0 - self)).ln_1p() - } -} - -#[cfg(test)] -mod tests { - use f32; - use f32::*; - use num::*; - use num::FpCategory as Fp; - - #[test] - fn test_num_f32() { - test_num(10f32, 2f32); - } - - #[test] - fn test_min_nan() { - assert_eq!(NAN.min(2.0), 2.0); - assert_eq!(2.0f32.min(NAN), 2.0); - } - - #[test] - fn test_max_nan() { - assert_eq!(NAN.max(2.0), 2.0); - assert_eq!(2.0f32.max(NAN), 2.0); - } - - #[test] - fn test_nan() { - let nan: f32 = f32::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: f32 = f32::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: f32 = f32::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: f32 = 0.0f32; - 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: f32 = -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()); - } - - #[test] - fn test_one() { - let one: f32 = 1.0f32; - 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: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert!(nan.is_nan()); - assert!(!0.0f32.is_nan()); - assert!(!5.3f32.is_nan()); - assert!(!(-10.732f32).is_nan()); - assert!(!inf.is_nan()); - assert!(!neg_inf.is_nan()); - } - - #[test] - fn test_is_infinite() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert!(!nan.is_infinite()); - assert!(inf.is_infinite()); - assert!(neg_inf.is_infinite()); - assert!(!0.0f32.is_infinite()); - assert!(!42.8f32.is_infinite()); - assert!(!(-109.2f32).is_infinite()); - } - - #[test] - fn test_is_finite() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert!(!nan.is_finite()); - assert!(!inf.is_finite()); - assert!(!neg_inf.is_finite()); - assert!(0.0f32.is_finite()); - assert!(42.8f32.is_finite()); - assert!((-109.2f32).is_finite()); - } - - #[test] - fn test_is_normal() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - let zero: f32 = 0.0f32; - let neg_zero: f32 = -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!(1f32.is_normal()); - assert!(1e-37f32.is_normal()); - assert!(!1e-38f32.is_normal()); - } - - #[test] - fn test_classify() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - let zero: f32 = 0.0f32; - let neg_zero: f32 = -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!(1f32.classify(), Fp::Normal); - assert_eq!(1e-37f32.classify(), Fp::Normal); - assert_eq!(1e-38f32.classify(), Fp::Subnormal); - } - - #[test] - fn test_floor() { - assert_approx_eq!(1.0f32.floor(), 1.0f32); - assert_approx_eq!(1.3f32.floor(), 1.0f32); - assert_approx_eq!(1.5f32.floor(), 1.0f32); - assert_approx_eq!(1.7f32.floor(), 1.0f32); - assert_approx_eq!(0.0f32.floor(), 0.0f32); - assert_approx_eq!((-0.0f32).floor(), -0.0f32); - assert_approx_eq!((-1.0f32).floor(), -1.0f32); - assert_approx_eq!((-1.3f32).floor(), -2.0f32); - assert_approx_eq!((-1.5f32).floor(), -2.0f32); - assert_approx_eq!((-1.7f32).floor(), -2.0f32); - } - - #[test] - fn test_ceil() { - assert_approx_eq!(1.0f32.ceil(), 1.0f32); - assert_approx_eq!(1.3f32.ceil(), 2.0f32); - assert_approx_eq!(1.5f32.ceil(), 2.0f32); - assert_approx_eq!(1.7f32.ceil(), 2.0f32); - assert_approx_eq!(0.0f32.ceil(), 0.0f32); - assert_approx_eq!((-0.0f32).ceil(), -0.0f32); - assert_approx_eq!((-1.0f32).ceil(), -1.0f32); - assert_approx_eq!((-1.3f32).ceil(), -1.0f32); - assert_approx_eq!((-1.5f32).ceil(), -1.0f32); - assert_approx_eq!((-1.7f32).ceil(), -1.0f32); - } - - #[test] - fn test_round() { - assert_approx_eq!(1.0f32.round(), 1.0f32); - assert_approx_eq!(1.3f32.round(), 1.0f32); - assert_approx_eq!(1.5f32.round(), 2.0f32); - assert_approx_eq!(1.7f32.round(), 2.0f32); - assert_approx_eq!(0.0f32.round(), 0.0f32); - assert_approx_eq!((-0.0f32).round(), -0.0f32); - assert_approx_eq!((-1.0f32).round(), -1.0f32); - assert_approx_eq!((-1.3f32).round(), -1.0f32); - assert_approx_eq!((-1.5f32).round(), -2.0f32); - assert_approx_eq!((-1.7f32).round(), -2.0f32); - } - - #[test] - fn test_trunc() { - assert_approx_eq!(1.0f32.trunc(), 1.0f32); - assert_approx_eq!(1.3f32.trunc(), 1.0f32); - assert_approx_eq!(1.5f32.trunc(), 1.0f32); - assert_approx_eq!(1.7f32.trunc(), 1.0f32); - assert_approx_eq!(0.0f32.trunc(), 0.0f32); - assert_approx_eq!((-0.0f32).trunc(), -0.0f32); - assert_approx_eq!((-1.0f32).trunc(), -1.0f32); - assert_approx_eq!((-1.3f32).trunc(), -1.0f32); - assert_approx_eq!((-1.5f32).trunc(), -1.0f32); - assert_approx_eq!((-1.7f32).trunc(), -1.0f32); - } - - #[test] - fn test_fract() { - assert_approx_eq!(1.0f32.fract(), 0.0f32); - assert_approx_eq!(1.3f32.fract(), 0.3f32); - assert_approx_eq!(1.5f32.fract(), 0.5f32); - assert_approx_eq!(1.7f32.fract(), 0.7f32); - assert_approx_eq!(0.0f32.fract(), 0.0f32); - assert_approx_eq!((-0.0f32).fract(), -0.0f32); - assert_approx_eq!((-1.0f32).fract(), -0.0f32); - assert_approx_eq!((-1.3f32).fract(), -0.3f32); - assert_approx_eq!((-1.5f32).fract(), -0.5f32); - assert_approx_eq!((-1.7f32).fract(), -0.7f32); - } - - #[test] - fn test_abs() { - assert_eq!(INFINITY.abs(), INFINITY); - assert_eq!(1f32.abs(), 1f32); - assert_eq!(0f32.abs(), 0f32); - assert_eq!((-0f32).abs(), 0f32); - assert_eq!((-1f32).abs(), 1f32); - assert_eq!(NEG_INFINITY.abs(), INFINITY); - assert_eq!((1f32/NEG_INFINITY).abs(), 0f32); - assert!(NAN.abs().is_nan()); - } - - #[test] - fn test_signum() { - assert_eq!(INFINITY.signum(), 1f32); - assert_eq!(1f32.signum(), 1f32); - assert_eq!(0f32.signum(), 1f32); - assert_eq!((-0f32).signum(), -1f32); - assert_eq!((-1f32).signum(), -1f32); - assert_eq!(NEG_INFINITY.signum(), -1f32); - assert_eq!((1f32/NEG_INFINITY).signum(), -1f32); - assert!(NAN.signum().is_nan()); - } - - #[test] - fn test_is_sign_positive() { - assert!(INFINITY.is_sign_positive()); - assert!(1f32.is_sign_positive()); - assert!(0f32.is_sign_positive()); - assert!(!(-0f32).is_sign_positive()); - assert!(!(-1f32).is_sign_positive()); - assert!(!NEG_INFINITY.is_sign_positive()); - assert!(!(1f32/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!(!1f32.is_sign_negative()); - assert!(!0f32.is_sign_negative()); - assert!((-0f32).is_sign_negative()); - assert!((-1f32).is_sign_negative()); - assert!(NEG_INFINITY.is_sign_negative()); - assert!((1f32/NEG_INFINITY).is_sign_negative()); - assert!(!NAN.is_sign_negative()); - assert!((-NAN).is_sign_negative()); - } - - #[test] - fn test_mul_add() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_approx_eq!(12.3f32.mul_add(4.5, 6.7), 62.05); - assert_approx_eq!((-12.3f32).mul_add(-4.5, -6.7), 48.65); - assert_approx_eq!(0.0f32.mul_add(8.9, 1.2), 1.2); - assert_approx_eq!(3.4f32.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!(8.9f32.mul_add(inf, 3.2), inf); - assert_eq!((-3.2f32).mul_add(2.4, neg_inf), neg_inf); - } - - #[test] - fn test_recip() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_eq!(1.0f32.recip(), 1.0); - assert_eq!(2.0f32.recip(), 0.5); - assert_eq!((-0.4f32).recip(), -2.5); - assert_eq!(0.0f32.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: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_eq!(1.0f32.powi(1), 1.0); - assert_approx_eq!((-3.1f32).powi(2), 9.61); - assert_approx_eq!(5.9f32.powi(-2), 0.028727); - assert_eq!(8.3f32.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: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_eq!(1.0f32.powf(1.0), 1.0); - assert_approx_eq!(3.4f32.powf(4.5), 246.408218); - assert_approx_eq!(2.7f32.powf(-3.2), 0.041652); - assert_approx_eq!((-3.1f32).powf(2.0), 9.61); - assert_approx_eq!(5.9f32.powf(-2.0), 0.028727); - assert_eq!(8.3f32.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!((-1.0f32).sqrt().is_nan()); - assert_eq!((-0.0f32).sqrt(), -0.0); - assert_eq!(0.0f32.sqrt(), 0.0); - assert_eq!(1.0f32.sqrt(), 1.0); - assert_eq!(INFINITY.sqrt(), INFINITY); - } - - #[test] - fn test_exp() { - assert_eq!(1.0, 0.0f32.exp()); - assert_approx_eq!(2.718282, 1.0f32.exp()); - assert_approx_eq!(148.413162, 5.0f32.exp()); - - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - let nan: f32 = f32::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, 5.0f32.exp2()); - assert_eq!(1.0, 0.0f32.exp2()); - - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - let nan: f32 = f32::NAN; - assert_eq!(inf, inf.exp2()); - assert_eq!(0.0, neg_inf.exp2()); - assert!(nan.exp2().is_nan()); - } - - #[test] - fn test_ln() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_approx_eq!(1.0f32.exp().ln(), 1.0); - assert!(nan.ln().is_nan()); - assert_eq!(inf.ln(), inf); - assert!(neg_inf.ln().is_nan()); - assert!((-2.3f32).ln().is_nan()); - assert_eq!((-0.0f32).ln(), neg_inf); - assert_eq!(0.0f32.ln(), neg_inf); - assert_approx_eq!(4.0f32.ln(), 1.386294); - } - - #[test] - fn test_log() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_eq!(10.0f32.log(10.0), 1.0); - assert_approx_eq!(2.3f32.log(3.5), 0.664858); - assert_eq!(1.0f32.exp().log(1.0f32.exp()), 1.0); - assert!(1.0f32.log(1.0).is_nan()); - assert!(1.0f32.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!((-2.3f32).log(0.1).is_nan()); - assert_eq!((-0.0f32).log(2.0), neg_inf); - assert_eq!(0.0f32.log(7.0), neg_inf); - } - - #[test] - fn test_log2() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_approx_eq!(10.0f32.log2(), 3.321928); - assert_approx_eq!(2.3f32.log2(), 1.201634); - assert_approx_eq!(1.0f32.exp().log2(), 1.442695); - assert!(nan.log2().is_nan()); - assert_eq!(inf.log2(), inf); - assert!(neg_inf.log2().is_nan()); - assert!((-2.3f32).log2().is_nan()); - assert_eq!((-0.0f32).log2(), neg_inf); - assert_eq!(0.0f32.log2(), neg_inf); - } - - #[test] - fn test_log10() { - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_eq!(10.0f32.log10(), 1.0); - assert_approx_eq!(2.3f32.log10(), 0.361728); - assert_approx_eq!(1.0f32.exp().log10(), 0.434294); - assert_eq!(1.0f32.log10(), 0.0); - assert!(nan.log10().is_nan()); - assert_eq!(inf.log10(), inf); - assert!(neg_inf.log10().is_nan()); - assert!((-2.3f32).log10().is_nan()); - assert_eq!((-0.0f32).log10(), neg_inf); - assert_eq!(0.0f32.log10(), neg_inf); - } - - #[test] - fn test_to_degrees() { - let pi: f32 = consts::PI; - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_eq!(0.0f32.to_degrees(), 0.0); - assert_approx_eq!((-5.8f32).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); - assert_eq!(1_f32.to_degrees(), 57.2957795130823208767981548141051703); - } - - #[test] - fn test_to_radians() { - let pi: f32 = consts::PI; - let nan: f32 = f32::NAN; - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - assert_eq!(0.0f32.to_radians(), 0.0); - assert_approx_eq!(154.6f32.to_radians(), 2.698279); - assert_approx_eq!((-332.31f32).to_radians(), -5.799903); - assert_eq!(180.0f32.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!(0.0f32.asinh(), 0.0f32); - assert_eq!((-0.0f32).asinh(), -0.0f32); - - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - let nan: f32 = f32::NAN; - assert_eq!(inf.asinh(), inf); - assert_eq!(neg_inf.asinh(), neg_inf); - assert!(nan.asinh().is_nan()); - assert_approx_eq!(2.0f32.asinh(), 1.443635475178810342493276740273105f32); - assert_approx_eq!((-2.0f32).asinh(), -1.443635475178810342493276740273105f32); - } - - #[test] - fn test_acosh() { - assert_eq!(1.0f32.acosh(), 0.0f32); - assert!(0.999f32.acosh().is_nan()); - - let inf: f32 = f32::INFINITY; - let neg_inf: f32 = f32::NEG_INFINITY; - let nan: f32 = f32::NAN; - assert_eq!(inf.acosh(), inf); - assert!(neg_inf.acosh().is_nan()); - assert!(nan.acosh().is_nan()); - assert_approx_eq!(2.0f32.acosh(), 1.31695789692481670862504634730796844f32); - assert_approx_eq!(3.0f32.acosh(), 1.76274717403908605046521864995958461f32); - } - - #[test] - fn test_atanh() { - assert_eq!(0.0f32.atanh(), 0.0f32); - assert_eq!((-0.0f32).atanh(), -0.0f32); - - let inf32: f32 = f32::INFINITY; - let neg_inf32: f32 = f32::NEG_INFINITY; - assert_eq!(1.0f32.atanh(), inf32); - assert_eq!((-1.0f32).atanh(), neg_inf32); - - assert!(2f64.atanh().atanh().is_nan()); - assert!((-2f64).atanh().atanh().is_nan()); - - let inf64: f32 = f32::INFINITY; - let neg_inf64: f32 = f32::NEG_INFINITY; - let nan32: f32 = f32::NAN; - assert!(inf64.atanh().is_nan()); - assert!(neg_inf64.atanh().is_nan()); - assert!(nan32.atanh().is_nan()); - - assert_approx_eq!(0.5f32.atanh(), 0.54930614433405484569762261846126285f32); - assert_approx_eq!((-0.5f32).atanh(), -0.54930614433405484569762261846126285f32); - } - - #[test] - fn test_real_consts() { - use super::consts; - - let pi: f32 = consts::PI; - let frac_pi_2: f32 = consts::FRAC_PI_2; - let frac_pi_3: f32 = consts::FRAC_PI_3; - let frac_pi_4: f32 = consts::FRAC_PI_4; - let frac_pi_6: f32 = consts::FRAC_PI_6; - let frac_pi_8: f32 = consts::FRAC_PI_8; - let frac_1_pi: f32 = consts::FRAC_1_PI; - let frac_2_pi: f32 = consts::FRAC_2_PI; - let frac_2_sqrtpi: f32 = consts::FRAC_2_SQRT_PI; - let sqrt2: f32 = consts::SQRT_2; - let frac_1_sqrt2: f32 = consts::FRAC_1_SQRT_2; - let e: f32 = consts::E; - let log2_e: f32 = consts::LOG2_E; - let log10_e: f32 = consts::LOG10_E; - let ln_2: f32 = consts::LN_2; - let ln_10: f32 = consts::LN_10; - - assert_approx_eq!(frac_pi_2, pi / 2f32); - assert_approx_eq!(frac_pi_3, pi / 3f32); - assert_approx_eq!(frac_pi_4, pi / 4f32); - assert_approx_eq!(frac_pi_6, pi / 6f32); - assert_approx_eq!(frac_pi_8, pi / 8f32); - assert_approx_eq!(frac_1_pi, 1f32 / pi); - assert_approx_eq!(frac_2_pi, 2f32 / pi); - assert_approx_eq!(frac_2_sqrtpi, 2f32 / pi.sqrt()); - assert_approx_eq!(sqrt2, 2f32.sqrt()); - assert_approx_eq!(frac_1_sqrt2, 1f32 / 2f32.sqrt()); - assert_approx_eq!(log2_e, e.log2()); - assert_approx_eq!(log10_e, e.log10()); - assert_approx_eq!(ln_2, 2f32.ln()); - assert_approx_eq!(ln_10, 10f32.ln()); - } - - #[test] - fn test_float_bits_conv() { - assert_eq!((1f32).to_bits(), 0x3f800000); - assert_eq!((12.5f32).to_bits(), 0x41480000); - assert_eq!((1337f32).to_bits(), 0x44a72000); - assert_eq!((-14.25f32).to_bits(), 0xc1640000); - assert_approx_eq!(f32::from_bits(0x3f800000), 1.0); - assert_approx_eq!(f32::from_bits(0x41480000), 12.5); - assert_approx_eq!(f32::from_bits(0x44a72000), 1337.0); - assert_approx_eq!(f32::from_bits(0xc1640000), -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 = f32::NAN.to_bits() ^ 0x002A_AAAA; - let masked_nan2 = f32::NAN.to_bits() ^ 0x0055_5555; - assert!(f32::from_bits(masked_nan1).is_nan()); - assert!(f32::from_bits(masked_nan2).is_nan()); - - assert_eq!(f32::from_bits(masked_nan1).to_bits(), masked_nan1); - assert_eq!(f32::from_bits(masked_nan2).to_bits(), masked_nan2); - } -} -- cgit v1.2.3