--- /dev/null
+// 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.
+
+//! The 32-bit floating point type.
+//!
+//! *[See also the `f32` primitive type](../primitive.f32.html).*
+
+#![stable(feature = "rust1", since = "1.0.0")]
+#![allow(missing_docs)]
+
+#[cfg(not(test))]
+use core::num;
+#[cfg(not(test))]
+use intrinsics;
+#[cfg(not(test))]
+use libc::c_int;
+#[cfg(not(test))]
+use num::FpCategory;
+
+
+#[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;
+
+#[allow(dead_code)]
+mod cmath {
+ use libc::{c_float, c_int};
+
+ extern {
+ pub fn cbrtf(n: c_float) -> c_float;
+ pub fn erff(n: c_float) -> c_float;
+ pub fn erfcf(n: c_float) -> c_float;
+ pub fn expm1f(n: c_float) -> c_float;
+ pub fn fdimf(a: c_float, b: c_float) -> c_float;
+ pub fn fmaxf(a: c_float, b: c_float) -> c_float;
+ pub fn fminf(a: c_float, b: c_float) -> c_float;
+ pub fn fmodf(a: c_float, b: c_float) -> c_float;
+ pub fn ilogbf(n: c_float) -> c_int;
+ pub fn logbf(n: c_float) -> c_float;
+ pub fn log1pf(n: c_float) -> c_float;
+ pub fn modff(n: c_float, iptr: &mut c_float) -> c_float;
+ pub fn nextafterf(x: c_float, y: c_float) -> c_float;
+ pub fn tgammaf(n: c_float) -> c_float;
+
+ #[cfg_attr(all(windows, target_env = "msvc"), link_name = "__lgammaf_r")]
+ pub fn lgammaf_r(n: c_float, sign: &mut c_int) -> c_float;
+ #[cfg_attr(all(windows, target_env = "msvc"), link_name = "_hypotf")]
+ pub fn hypotf(x: c_float, y: c_float) -> c_float;
+ }
+
+ // See the comments in the `floor` function for why MSVC is special
+ // here.
+ #[cfg(not(target_env = "msvc"))]
+ extern {
+ pub fn acosf(n: c_float) -> c_float;
+ pub fn asinf(n: c_float) -> c_float;
+ pub fn atan2f(a: c_float, b: c_float) -> c_float;
+ pub fn atanf(n: c_float) -> c_float;
+ pub fn coshf(n: c_float) -> c_float;
+ pub fn frexpf(n: c_float, value: &mut c_int) -> c_float;
+ pub fn ldexpf(x: c_float, n: c_int) -> c_float;
+ pub fn sinhf(n: c_float) -> c_float;
+ pub fn tanf(n: c_float) -> c_float;
+ pub fn tanhf(n: c_float) -> c_float;
+ }
+
+ #[cfg(target_env = "msvc")]
+ pub use self::shims::*;
+ #[cfg(target_env = "msvc")]
+ mod shims {
+ use libc::{c_float, c_int};
+
+ #[inline]
+ pub unsafe fn acosf(n: c_float) -> c_float {
+ f64::acos(n as f64) as c_float
+ }
+
+ #[inline]
+ pub unsafe fn asinf(n: c_float) -> c_float {
+ f64::asin(n as f64) as c_float
+ }
+
+ #[inline]
+ pub unsafe fn atan2f(n: c_float, b: c_float) -> c_float {
+ f64::atan2(n as f64, b as f64) as c_float
+ }
+
+ #[inline]
+ pub unsafe fn atanf(n: c_float) -> c_float {
+ f64::atan(n as f64) as c_float
+ }
+
+ #[inline]
+ pub unsafe fn coshf(n: c_float) -> c_float {
+ f64::cosh(n as f64) as c_float
+ }
+
+ #[inline]
+ #[allow(deprecated)]
+ pub unsafe fn frexpf(x: c_float, value: &mut c_int) -> c_float {
+ let (a, b) = f64::frexp(x as f64);
+ *value = b as c_int;
+ a as c_float
+ }
+
+ #[inline]
+ #[allow(deprecated)]
+ pub unsafe fn ldexpf(x: c_float, n: c_int) -> c_float {
+ f64::ldexp(x as f64, n as isize) as c_float
+ }
+
+ #[inline]
+ pub unsafe fn sinhf(n: c_float) -> c_float {
+ f64::sinh(n as f64) as c_float
+ }
+
+ #[inline]
+ pub unsafe fn tanf(n: c_float) -> c_float {
+ f64::tan(n as f64) as c_float
+ }
+
+ #[inline]
+ pub unsafe fn tanhf(n: c_float) -> c_float {
+ f64::tanh(n as f64) as c_float
+ }
+ }
+}
+
+#[cfg(not(test))]
+#[lang = "f32"]
+impl f32 {
+ /// Returns `true` if this value is `NaN` and false otherwise.
+ ///
+ /// ```
+ /// use std::f32;
+ ///
+ /// let nan = f32::NAN;
+ /// let f = 7.0_f32;
+ ///
+ /// assert!(nan.is_nan());
+ /// assert!(!f.is_nan());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_nan(self) -> bool { num::Float::is_nan(self) }
+
+ /// Returns `true` if this value is positive infinity or negative infinity and
+ /// false otherwise.
+ ///
+ /// ```
+ /// use std::f32;
+ ///
+ /// let f = 7.0f32;
+ /// let inf = f32::INFINITY;
+ /// let neg_inf = f32::NEG_INFINITY;
+ /// let nan = f32::NAN;
+ ///
+ /// assert!(!f.is_infinite());
+ /// assert!(!nan.is_infinite());
+ ///
+ /// assert!(inf.is_infinite());
+ /// assert!(neg_inf.is_infinite());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_infinite(self) -> bool { num::Float::is_infinite(self) }
+
+ /// Returns `true` if this number is neither infinite nor `NaN`.
+ ///
+ /// ```
+ /// use std::f32;
+ ///
+ /// let f = 7.0f32;
+ /// let inf = f32::INFINITY;
+ /// let neg_inf = f32::NEG_INFINITY;
+ /// let nan = f32::NAN;
+ ///
+ /// assert!(f.is_finite());
+ ///
+ /// assert!(!nan.is_finite());
+ /// assert!(!inf.is_finite());
+ /// assert!(!neg_inf.is_finite());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_finite(self) -> bool { num::Float::is_finite(self) }
+
+ /// Returns `true` if the number is neither zero, infinite,
+ /// [subnormal][subnormal], or `NaN`.
+ ///
+ /// ```
+ /// use std::f32;
+ ///
+ /// let min = f32::MIN_POSITIVE; // 1.17549435e-38f32
+ /// let max = f32::MAX;
+ /// let lower_than_min = 1.0e-40_f32;
+ /// let zero = 0.0_f32;
+ ///
+ /// assert!(min.is_normal());
+ /// assert!(max.is_normal());
+ ///
+ /// assert!(!zero.is_normal());
+ /// assert!(!f32::NAN.is_normal());
+ /// assert!(!f32::INFINITY.is_normal());
+ /// // Values between `0` and `min` are Subnormal.
+ /// assert!(!lower_than_min.is_normal());
+ /// ```
+ /// [subnormal]: https://en.wikipedia.org/wiki/Denormal_number
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_normal(self) -> bool { num::Float::is_normal(self) }
+
+ /// Returns the floating point category of the number. If only one property
+ /// is going to be tested, it is generally faster to use the specific
+ /// predicate instead.
+ ///
+ /// ```
+ /// use std::num::FpCategory;
+ /// use std::f32;
+ ///
+ /// let num = 12.4_f32;
+ /// let inf = f32::INFINITY;
+ ///
+ /// assert_eq!(num.classify(), FpCategory::Normal);
+ /// assert_eq!(inf.classify(), FpCategory::Infinite);
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn classify(self) -> FpCategory { num::Float::classify(self) }
+
+ /// Returns the mantissa, base 2 exponent, and sign as integers, respectively.
+ /// The original number can be recovered by `sign * mantissa * 2 ^ exponent`.
+ /// The floating point encoding is documented in the [Reference][floating-point].
+ ///
+ /// ```
+ /// #![feature(float_extras)]
+ ///
+ /// use std::f32;
+ ///
+ /// let num = 2.0f32;
+ ///
+ /// // (8388608, -22, 1)
+ /// let (mantissa, exponent, sign) = num.integer_decode();
+ /// let sign_f = sign as f32;
+ /// let mantissa_f = mantissa as f32;
+ /// let exponent_f = num.powf(exponent as f32);
+ ///
+ /// // 1 * 8388608 * 2^(-22) == 2
+ /// let abs_difference = (sign_f * mantissa_f * exponent_f - num).abs();
+ ///
+ /// assert!(abs_difference <= f32::EPSILON);
+ /// ```
+ /// [floating-point]: ../reference.html#machine-types
+ #[unstable(feature = "float_extras", reason = "signature is undecided",
+ issue = "27752")]
+ #[rustc_deprecated(since = "1.11.0",
+ reason = "never really came to fruition and easily \
+ implementable outside the standard library")]
+ #[inline]
+ #[allow(deprecated)]
+ pub fn integer_decode(self) -> (u64, i16, i8) {
+ num::Float::integer_decode(self)
+ }
+
+ /// Returns the largest integer less than or equal to a number.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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`.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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`.
+ ///
+ /// ```
+ /// 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 { num::Float::abs(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`
+ ///
+ /// ```
+ /// 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 { num::Float::signum(self) }
+
+ /// Returns `true` if `self`'s sign bit is positive, including
+ /// `+0.0` and `INFINITY`.
+ ///
+ /// ```
+ /// use std::f32;
+ ///
+ /// let nan = f32::NAN;
+ /// let f = 7.0_f32;
+ /// let g = -7.0_f32;
+ ///
+ /// assert!(f.is_sign_positive());
+ /// assert!(!g.is_sign_positive());
+ /// // Requires both tests to determine if is `NaN`
+ /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_sign_positive(self) -> bool { num::Float::is_sign_positive(self) }
+
+ /// Returns `true` if `self`'s sign is negative, including `-0.0`
+ /// and `NEG_INFINITY`.
+ ///
+ /// ```
+ /// use std::f32;
+ ///
+ /// let nan = f32::NAN;
+ /// let f = 7.0f32;
+ /// let g = -7.0f32;
+ ///
+ /// assert!(!f.is_sign_negative());
+ /// assert!(g.is_sign_negative());
+ /// // Requires both tests to determine if is `NaN`.
+ /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_sign_negative(self) -> bool { num::Float::is_sign_negative(self) }
+
+ /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
+ /// error. This produces a more accurate result with better performance than
+ /// a separate multiplication operation followed by an add.
+ ///
+ /// ```
+ /// 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) }
+ }
+
+ /// Takes the reciprocal (inverse) of a number, `1/x`.
+ ///
+ /// ```
+ /// use std::f32;
+ ///
+ /// let x = 2.0_f32;
+ /// let abs_difference = (x.recip() - (1.0/x)).abs();
+ ///
+ /// assert!(abs_difference <= f32::EPSILON);
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn recip(self) -> f32 { num::Float::recip(self) }
+
+ /// Raises a number to an integer power.
+ ///
+ /// Using this function is generally faster than using `powf`
+ ///
+ /// ```
+ /// 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 { num::Float::powi(self, n) }
+
+ /// Raises a number to a floating point power.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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).
+ ///
+ /// ```
+ /// 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)`.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// use std::f32;
+ ///
+ /// let ten = 10.0f32;
+ /// let two = 2.0f32;
+ ///
+ /// // log10(10) - 1 == 0
+ /// let abs_difference_10 = (ten.log(10.0) - 1.0).abs();
+ ///
+ /// // log2(2) - 1 == 0
+ /// let abs_difference_2 = (two.log(2.0) - 1.0).abs();
+ ///
+ /// assert!(abs_difference_10 <= f32::EPSILON);
+ /// assert!(abs_difference_2 <= 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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) };
+ }
+
+ /// Converts radians to degrees.
+ ///
+ /// ```
+ /// use std::f32::{self, consts};
+ ///
+ /// let angle = consts::PI;
+ ///
+ /// let abs_difference = (angle.to_degrees() - 180.0).abs();
+ ///
+ /// assert!(abs_difference <= f32::EPSILON);
+ /// ```
+ #[stable(feature = "f32_deg_rad_conversions", since="1.7.0")]
+ #[inline]
+ pub fn to_degrees(self) -> f32 { num::Float::to_degrees(self) }
+
+ /// Converts degrees to radians.
+ ///
+ /// ```
+ /// use std::f32::{self, consts};
+ ///
+ /// let angle = 180.0f32;
+ ///
+ /// let abs_difference = (angle.to_radians() - consts::PI).abs();
+ ///
+ /// assert!(abs_difference <= f32::EPSILON);
+ /// ```
+ #[stable(feature = "f32_deg_rad_conversions", since="1.7.0")]
+ #[inline]
+ pub fn to_radians(self) -> f32 { num::Float::to_radians(self) }
+
+ /// Constructs a floating point number of `x*2^exp`.
+ ///
+ /// ```
+ /// #![feature(float_extras)]
+ ///
+ /// use std::f32;
+ /// // 3*2^2 - 12 == 0
+ /// let abs_difference = (f32::ldexp(3.0, 2) - 12.0).abs();
+ ///
+ /// assert!(abs_difference <= f32::EPSILON);
+ /// ```
+ #[unstable(feature = "float_extras",
+ reason = "pending integer conventions",
+ issue = "27752")]
+ #[rustc_deprecated(since = "1.11.0",
+ reason = "never really came to fruition and easily \
+ implementable outside the standard library")]
+ #[inline]
+ pub fn ldexp(x: f32, exp: isize) -> f32 {
+ unsafe { cmath::ldexpf(x, exp as c_int) }
+ }
+
+ /// Breaks the number into a normalized fraction and a base-2 exponent,
+ /// satisfying:
+ ///
+ /// * `self = x * 2^exp`
+ /// * `0.5 <= abs(x) < 1.0`
+ ///
+ /// ```
+ /// #![feature(float_extras)]
+ ///
+ /// use std::f32;
+ ///
+ /// let x = 4.0f32;
+ ///
+ /// // (1/2)*2^3 -> 1 * 8/2 -> 4.0
+ /// let f = x.frexp();
+ /// let abs_difference_0 = (f.0 - 0.5).abs();
+ /// let abs_difference_1 = (f.1 as f32 - 3.0).abs();
+ ///
+ /// assert!(abs_difference_0 <= f32::EPSILON);
+ /// assert!(abs_difference_1 <= f32::EPSILON);
+ /// ```
+ #[unstable(feature = "float_extras",
+ reason = "pending integer conventions",
+ issue = "27752")]
+ #[rustc_deprecated(since = "1.11.0",
+ reason = "never really came to fruition and easily \
+ implementable outside the standard library")]
+ #[inline]
+ pub fn frexp(self) -> (f32, isize) {
+ unsafe {
+ let mut exp = 0;
+ let x = cmath::frexpf(self, &mut exp);
+ (x, exp as isize)
+ }
+ }
+
+ /// Returns the next representable floating-point value in the direction of
+ /// `other`.
+ ///
+ /// ```
+ /// #![feature(float_extras)]
+ ///
+ /// use std::f32;
+ ///
+ /// let x = 1.0f32;
+ ///
+ /// let abs_diff = (x.next_after(2.0) - 1.00000011920928955078125_f32).abs();
+ ///
+ /// assert!(abs_diff <= f32::EPSILON);
+ /// ```
+ #[unstable(feature = "float_extras",
+ reason = "unsure about its place in the world",
+ issue = "27752")]
+ #[rustc_deprecated(since = "1.11.0",
+ reason = "never really came to fruition and easily \
+ implementable outside the standard library")]
+ #[inline]
+ pub fn next_after(self, other: f32) -> f32 {
+ unsafe { cmath::nextafterf(self, other) }
+ }
+
+ /// Returns the maximum of the two numbers.
+ ///
+ /// ```
+ /// let x = 1.0f32;
+ /// let y = 2.0f32;
+ ///
+ /// assert_eq!(x.max(y), y);
+ /// ```
+ ///
+ /// If one of the arguments is NaN, then the other argument is returned.
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn max(self, other: f32) -> f32 {
+ unsafe { cmath::fmaxf(self, other) }
+ }
+
+ /// Returns the minimum of the two numbers.
+ ///
+ /// ```
+ /// let x = 1.0f32;
+ /// let y = 2.0f32;
+ ///
+ /// assert_eq!(x.min(y), x);
+ /// ```
+ ///
+ /// If one of the arguments is NaN, then the other argument is returned.
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn min(self, other: f32) -> f32 {
+ unsafe { cmath::fminf(self, other) }
+ }
+
+ /// The positive difference of two numbers.
+ ///
+ /// * If `self <= other`: `0:0`
+ /// * Else: `self - other`
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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`.
+ ///
+ /// ```
+ /// 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).
+ ///
+ /// ```
+ /// 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).
+ ///
+ /// ```
+ /// 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).
+ ///
+ /// ```
+ /// 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].
+ ///
+ /// ```
+ /// 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].
+ ///
+ /// ```
+ /// 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];
+ ///
+ /// ```
+ /// 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`).
+ ///
+ /// * `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 std::f32;
+ ///
+ /// let pi = f32::consts::PI;
+ /// // All angles from horizontal right (+x)
+ /// // 45 deg counter-clockwise
+ /// let x1 = 3.0f32;
+ /// let y1 = -3.0f32;
+ ///
+ /// // 135 deg 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))`.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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]
+ #[allow(deprecated)]
+ fn test_integer_decode() {
+ assert_eq!(3.14159265359f32.integer_decode(), (13176795, -22, 1));
+ assert_eq!((-8573.5918555f32).integer_decode(), (8779358, -10, -1));
+ assert_eq!(2f32.powf(100.0).integer_decode(), (8388608, 77, 1));
+ assert_eq!(0f32.integer_decode(), (0, -150, 1));
+ assert_eq!((-0f32).integer_decode(), (0, -150, -1));
+ assert_eq!(INFINITY.integer_decode(), (8388608, 105, 1));
+ assert_eq!(NEG_INFINITY.integer_decode(), (8388608, 105, -1));
+
+ // Ignore the "sign" (quiet / signalling flag) of NAN.
+ // It can vary between runtime operations and LLVM folding.
+ let (nan_m, nan_e, _nan_s) = NAN.integer_decode();
+ assert_eq!((nan_m, nan_e), (12582912, 105));
+ }
+
+ #[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());
+ }
+
+ #[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());
+ }
+
+ #[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);
+ }
+
+ #[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]
+ #[allow(deprecated)]
+ fn test_ldexp() {
+ let f1 = 2.0f32.powi(-123);
+ let f2 = 2.0f32.powi(-111);
+ let f3 = 1.75 * 2.0f32.powi(-12);
+ assert_eq!(f32::ldexp(1f32, -123), f1);
+ assert_eq!(f32::ldexp(1f32, -111), f2);
+ assert_eq!(f32::ldexp(1.75f32, -12), f3);
+
+ assert_eq!(f32::ldexp(0f32, -123), 0f32);
+ assert_eq!(f32::ldexp(-0f32, -123), -0f32);
+
+ let inf: f32 = f32::INFINITY;
+ let neg_inf: f32 = f32::NEG_INFINITY;
+ let nan: f32 = f32::NAN;
+ assert_eq!(f32::ldexp(inf, -123), inf);
+ assert_eq!(f32::ldexp(neg_inf, -123), neg_inf);
+ assert!(f32::ldexp(nan, -123).is_nan());
+ }
+
+ #[test]
+ #[allow(deprecated)]
+ fn test_frexp() {
+ let f1 = 2.0f32.powi(-123);
+ let f2 = 2.0f32.powi(-111);
+ let f3 = 1.75 * 2.0f32.powi(-123);
+ let (x1, exp1) = f1.frexp();
+ let (x2, exp2) = f2.frexp();
+ let (x3, exp3) = f3.frexp();
+ assert_eq!((x1, exp1), (0.5f32, -122));
+ assert_eq!((x2, exp2), (0.5f32, -110));
+ assert_eq!((x3, exp3), (0.875f32, -122));
+ assert_eq!(f32::ldexp(x1, exp1), f1);
+ assert_eq!(f32::ldexp(x2, exp2), f2);
+ assert_eq!(f32::ldexp(x3, exp3), f3);
+
+ assert_eq!(0f32.frexp(), (0f32, 0));
+ assert_eq!((-0f32).frexp(), (-0f32, 0));
+ }
+
+ #[test] #[cfg_attr(windows, ignore)] // FIXME #8755
+ #[allow(deprecated)]
+ fn test_frexp_nowin() {
+ let inf: f32 = f32::INFINITY;
+ let neg_inf: f32 = f32::NEG_INFINITY;
+ let nan: f32 = f32::NAN;
+ assert_eq!(match inf.frexp() { (x, _) => x }, inf);
+ assert_eq!(match neg_inf.frexp() { (x, _) => x }, neg_inf);
+ assert!(match nan.frexp() { (x, _) => x.is_nan() })
+ }
+
+ #[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());
+ }
+}
--- /dev/null
+// 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.
+
+//! The 64-bit floating point type.
+//!
+//! *[See also the `f64` primitive type](../primitive.f64.html).*
+
+#![stable(feature = "rust1", since = "1.0.0")]
+#![allow(missing_docs)]
+
+#[cfg(not(test))]
+use core::num;
+#[cfg(not(test))]
+use intrinsics;
+#[cfg(not(test))]
+use libc::c_int;
+#[cfg(not(test))]
+use num::FpCategory;
+
+#[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;
+
+#[allow(dead_code)]
+mod cmath {
+ use libc::{c_double, c_int};
+
+ #[link_name = "m"]
+ extern {
+ pub fn acos(n: c_double) -> c_double;
+ pub fn asin(n: c_double) -> c_double;
+ pub fn atan(n: c_double) -> c_double;
+ pub fn atan2(a: c_double, b: c_double) -> c_double;
+ pub fn cbrt(n: c_double) -> c_double;
+ pub fn cosh(n: c_double) -> c_double;
+ pub fn erf(n: c_double) -> c_double;
+ pub fn erfc(n: c_double) -> c_double;
+ pub fn expm1(n: c_double) -> c_double;
+ pub fn fdim(a: c_double, b: c_double) -> c_double;
+ pub fn fmax(a: c_double, b: c_double) -> c_double;
+ pub fn fmin(a: c_double, b: c_double) -> c_double;
+ pub fn fmod(a: c_double, b: c_double) -> c_double;
+ pub fn frexp(n: c_double, value: &mut c_int) -> c_double;
+ pub fn ilogb(n: c_double) -> c_int;
+ pub fn ldexp(x: c_double, n: c_int) -> c_double;
+ pub fn logb(n: c_double) -> c_double;
+ pub fn log1p(n: c_double) -> c_double;
+ pub fn nextafter(x: c_double, y: c_double) -> c_double;
+ pub fn modf(n: c_double, iptr: &mut c_double) -> c_double;
+ pub fn sinh(n: c_double) -> c_double;
+ pub fn tan(n: c_double) -> c_double;
+ pub fn tanh(n: c_double) -> c_double;
+ pub fn tgamma(n: c_double) -> c_double;
+
+ // These are commonly only available for doubles
+
+ pub fn j0(n: c_double) -> c_double;
+ pub fn j1(n: c_double) -> c_double;
+ pub fn jn(i: c_int, n: c_double) -> c_double;
+
+ pub fn y0(n: c_double) -> c_double;
+ pub fn y1(n: c_double) -> c_double;
+ pub fn yn(i: c_int, n: c_double) -> c_double;
+
+ #[cfg_attr(all(windows, target_env = "msvc"), link_name = "__lgamma_r")]
+ pub fn lgamma_r(n: c_double, sign: &mut c_int) -> c_double;
+
+ #[cfg_attr(all(windows, target_env = "msvc"), link_name = "_hypot")]
+ pub fn hypot(x: c_double, y: c_double) -> c_double;
+ }
+}
+
+#[cfg(not(test))]
+#[lang = "f64"]
+impl f64 {
+ /// Returns `true` if this value is `NaN` and false otherwise.
+ ///
+ /// ```
+ /// use std::f64;
+ ///
+ /// let nan = f64::NAN;
+ /// let f = 7.0_f64;
+ ///
+ /// assert!(nan.is_nan());
+ /// assert!(!f.is_nan());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_nan(self) -> bool { num::Float::is_nan(self) }
+
+ /// Returns `true` if this value is positive infinity or negative infinity and
+ /// false otherwise.
+ ///
+ /// ```
+ /// use std::f64;
+ ///
+ /// let f = 7.0f64;
+ /// let inf = f64::INFINITY;
+ /// let neg_inf = f64::NEG_INFINITY;
+ /// let nan = f64::NAN;
+ ///
+ /// assert!(!f.is_infinite());
+ /// assert!(!nan.is_infinite());
+ ///
+ /// assert!(inf.is_infinite());
+ /// assert!(neg_inf.is_infinite());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_infinite(self) -> bool { num::Float::is_infinite(self) }
+
+ /// Returns `true` if this number is neither infinite nor `NaN`.
+ ///
+ /// ```
+ /// use std::f64;
+ ///
+ /// let f = 7.0f64;
+ /// let inf: f64 = f64::INFINITY;
+ /// let neg_inf: f64 = f64::NEG_INFINITY;
+ /// let nan: f64 = f64::NAN;
+ ///
+ /// assert!(f.is_finite());
+ ///
+ /// assert!(!nan.is_finite());
+ /// assert!(!inf.is_finite());
+ /// assert!(!neg_inf.is_finite());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_finite(self) -> bool { num::Float::is_finite(self) }
+
+ /// Returns `true` if the number is neither zero, infinite,
+ /// [subnormal][subnormal], or `NaN`.
+ ///
+ /// ```
+ /// use std::f64;
+ ///
+ /// let min = f64::MIN_POSITIVE; // 2.2250738585072014e-308f64
+ /// let max = f64::MAX;
+ /// let lower_than_min = 1.0e-308_f64;
+ /// let zero = 0.0f64;
+ ///
+ /// assert!(min.is_normal());
+ /// assert!(max.is_normal());
+ ///
+ /// assert!(!zero.is_normal());
+ /// assert!(!f64::NAN.is_normal());
+ /// assert!(!f64::INFINITY.is_normal());
+ /// // Values between `0` and `min` are Subnormal.
+ /// assert!(!lower_than_min.is_normal());
+ /// ```
+ /// [subnormal]: https://en.wikipedia.org/wiki/Denormal_number
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_normal(self) -> bool { num::Float::is_normal(self) }
+
+ /// Returns the floating point category of the number. If only one property
+ /// is going to be tested, it is generally faster to use the specific
+ /// predicate instead.
+ ///
+ /// ```
+ /// use std::num::FpCategory;
+ /// use std::f64;
+ ///
+ /// let num = 12.4_f64;
+ /// let inf = f64::INFINITY;
+ ///
+ /// assert_eq!(num.classify(), FpCategory::Normal);
+ /// assert_eq!(inf.classify(), FpCategory::Infinite);
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn classify(self) -> FpCategory { num::Float::classify(self) }
+
+ /// Returns the mantissa, base 2 exponent, and sign as integers, respectively.
+ /// The original number can be recovered by `sign * mantissa * 2 ^ exponent`.
+ /// The floating point encoding is documented in the [Reference][floating-point].
+ ///
+ /// ```
+ /// #![feature(float_extras)]
+ ///
+ /// let num = 2.0f64;
+ ///
+ /// // (8388608, -22, 1)
+ /// let (mantissa, exponent, sign) = num.integer_decode();
+ /// let sign_f = sign as f64;
+ /// let mantissa_f = mantissa as f64;
+ /// let exponent_f = num.powf(exponent as f64);
+ ///
+ /// // 1 * 8388608 * 2^(-22) == 2
+ /// let abs_difference = (sign_f * mantissa_f * exponent_f - num).abs();
+ ///
+ /// assert!(abs_difference < 1e-10);
+ /// ```
+ /// [floating-point]: ../reference.html#machine-types
+ #[unstable(feature = "float_extras", reason = "signature is undecided",
+ issue = "27752")]
+ #[rustc_deprecated(since = "1.11.0",
+ reason = "never really came to fruition and easily \
+ implementable outside the standard library")]
+ #[inline]
+ #[allow(deprecated)]
+ pub fn integer_decode(self) -> (u64, i16, i8) { num::Float::integer_decode(self) }
+
+ /// Returns the largest integer less than or equal to a number.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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`.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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`.
+ ///
+ /// ```
+ /// 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 { num::Float::abs(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`
+ ///
+ /// ```
+ /// 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 { num::Float::signum(self) }
+
+ /// Returns `true` if `self`'s sign bit is positive, including
+ /// `+0.0` and `INFINITY`.
+ ///
+ /// ```
+ /// use std::f64;
+ ///
+ /// let nan: f64 = f64::NAN;
+ ///
+ /// let f = 7.0_f64;
+ /// let g = -7.0_f64;
+ ///
+ /// assert!(f.is_sign_positive());
+ /// assert!(!g.is_sign_positive());
+ /// // Requires both tests to determine if is `NaN`
+ /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_sign_positive(self) -> bool { num::Float::is_sign_positive(self) }
+
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[rustc_deprecated(since = "1.0.0", reason = "renamed to is_sign_positive")]
+ #[inline]
+ pub fn is_positive(self) -> bool { num::Float::is_sign_positive(self) }
+
+ /// Returns `true` if `self`'s sign is negative, including `-0.0`
+ /// and `NEG_INFINITY`.
+ ///
+ /// ```
+ /// use std::f64;
+ ///
+ /// let nan = f64::NAN;
+ ///
+ /// let f = 7.0_f64;
+ /// let g = -7.0_f64;
+ ///
+ /// assert!(!f.is_sign_negative());
+ /// assert!(g.is_sign_negative());
+ /// // Requires both tests to determine if is `NaN`.
+ /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn is_sign_negative(self) -> bool { num::Float::is_sign_negative(self) }
+
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[rustc_deprecated(since = "1.0.0", reason = "renamed to is_sign_negative")]
+ #[inline]
+ pub fn is_negative(self) -> bool { num::Float::is_sign_negative(self) }
+
+ /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
+ /// error. This produces a more accurate result with better performance than
+ /// a separate multiplication operation followed by an add.
+ ///
+ /// ```
+ /// 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) }
+ }
+
+ /// Takes the reciprocal (inverse) of a number, `1/x`.
+ ///
+ /// ```
+ /// let x = 2.0_f64;
+ /// let abs_difference = (x.recip() - (1.0/x)).abs();
+ ///
+ /// assert!(abs_difference < 1e-10);
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn recip(self) -> f64 { num::Float::recip(self) }
+
+ /// Raises a number to an integer power.
+ ///
+ /// Using this function is generally faster than using `powf`
+ ///
+ /// ```
+ /// 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 { num::Float::powi(self, n) }
+
+ /// Raises a number to a floating point power.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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).
+ ///
+ /// ```
+ /// 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)`.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// let ten = 10.0_f64;
+ /// let two = 2.0_f64;
+ ///
+ /// // log10(10) - 1 == 0
+ /// let abs_difference_10 = (ten.log(10.0) - 1.0).abs();
+ ///
+ /// // log2(2) - 1 == 0
+ /// let abs_difference_2 = (two.log(2.0) - 1.0).abs();
+ ///
+ /// assert!(abs_difference_10 < 1e-10);
+ /// assert!(abs_difference_2 < 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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) } })
+ }
+
+ /// Converts radians to degrees.
+ ///
+ /// ```
+ /// use std::f64::consts;
+ ///
+ /// let angle = consts::PI;
+ ///
+ /// let abs_difference = (angle.to_degrees() - 180.0).abs();
+ ///
+ /// assert!(abs_difference < 1e-10);
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn to_degrees(self) -> f64 { num::Float::to_degrees(self) }
+
+ /// Converts degrees to radians.
+ ///
+ /// ```
+ /// use std::f64::consts;
+ ///
+ /// let angle = 180.0_f64;
+ ///
+ /// let abs_difference = (angle.to_radians() - consts::PI).abs();
+ ///
+ /// assert!(abs_difference < 1e-10);
+ /// ```
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn to_radians(self) -> f64 { num::Float::to_radians(self) }
+
+ /// Constructs a floating point number of `x*2^exp`.
+ ///
+ /// ```
+ /// #![feature(float_extras)]
+ ///
+ /// // 3*2^2 - 12 == 0
+ /// let abs_difference = (f64::ldexp(3.0, 2) - 12.0).abs();
+ ///
+ /// assert!(abs_difference < 1e-10);
+ /// ```
+ #[unstable(feature = "float_extras",
+ reason = "pending integer conventions",
+ issue = "27752")]
+ #[rustc_deprecated(since = "1.11.0",
+ reason = "never really came to fruition and easily \
+ implementable outside the standard library")]
+ #[inline]
+ pub fn ldexp(x: f64, exp: isize) -> f64 {
+ unsafe { cmath::ldexp(x, exp as c_int) }
+ }
+
+ /// Breaks the number into a normalized fraction and a base-2 exponent,
+ /// satisfying:
+ ///
+ /// * `self = x * 2^exp`
+ /// * `0.5 <= abs(x) < 1.0`
+ ///
+ /// ```
+ /// #![feature(float_extras)]
+ ///
+ /// let x = 4.0_f64;
+ ///
+ /// // (1/2)*2^3 -> 1 * 8/2 -> 4.0
+ /// let f = x.frexp();
+ /// let abs_difference_0 = (f.0 - 0.5).abs();
+ /// let abs_difference_1 = (f.1 as f64 - 3.0).abs();
+ ///
+ /// assert!(abs_difference_0 < 1e-10);
+ /// assert!(abs_difference_1 < 1e-10);
+ /// ```
+ #[unstable(feature = "float_extras",
+ reason = "pending integer conventions",
+ issue = "27752")]
+ #[rustc_deprecated(since = "1.11.0",
+ reason = "never really came to fruition and easily \
+ implementable outside the standard library")]
+ #[inline]
+ pub fn frexp(self) -> (f64, isize) {
+ unsafe {
+ let mut exp = 0;
+ let x = cmath::frexp(self, &mut exp);
+ (x, exp as isize)
+ }
+ }
+
+ /// Returns the next representable floating-point value in the direction of
+ /// `other`.
+ ///
+ /// ```
+ /// #![feature(float_extras)]
+ ///
+ /// let x = 1.0f64;
+ ///
+ /// let abs_diff = (x.next_after(2.0) - 1.0000000000000002220446049250313_f64).abs();
+ ///
+ /// assert!(abs_diff < 1e-10);
+ /// ```
+ #[unstable(feature = "float_extras",
+ reason = "unsure about its place in the world",
+ issue = "27752")]
+ #[rustc_deprecated(since = "1.11.0",
+ reason = "never really came to fruition and easily \
+ implementable outside the standard library")]
+ #[inline]
+ pub fn next_after(self, other: f64) -> f64 {
+ unsafe { cmath::nextafter(self, other) }
+ }
+
+ /// Returns the maximum of the two numbers.
+ ///
+ /// ```
+ /// let x = 1.0_f64;
+ /// let y = 2.0_f64;
+ ///
+ /// assert_eq!(x.max(y), y);
+ /// ```
+ ///
+ /// If one of the arguments is NaN, then the other argument is returned.
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn max(self, other: f64) -> f64 {
+ unsafe { cmath::fmax(self, other) }
+ }
+
+ /// Returns the minimum of the two numbers.
+ ///
+ /// ```
+ /// let x = 1.0_f64;
+ /// let y = 2.0_f64;
+ ///
+ /// assert_eq!(x.min(y), x);
+ /// ```
+ ///
+ /// If one of the arguments is NaN, then the other argument is returned.
+ #[stable(feature = "rust1", since = "1.0.0")]
+ #[inline]
+ pub fn min(self, other: f64) -> f64 {
+ unsafe { cmath::fmin(self, other) }
+ }
+
+ /// The positive difference of two numbers.
+ ///
+ /// * If `self <= other`: `0:0`
+ /// * Else: `self - other`
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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`.
+ ///
+ /// ```
+ /// 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).
+ ///
+ /// ```
+ /// 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).
+ ///
+ /// ```
+ /// 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).
+ ///
+ /// ```
+ /// 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].
+ ///
+ /// ```
+ /// 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].
+ ///
+ /// ```
+ /// 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];
+ ///
+ /// ```
+ /// 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`).
+ ///
+ /// * `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 std::f64;
+ ///
+ /// let pi = f64::consts::PI;
+ /// // All angles from horizontal right (+x)
+ /// // 45 deg counter-clockwise
+ /// let x1 = 3.0_f64;
+ /// let y1 = -3.0_f64;
+ ///
+ /// // 135 deg 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))`.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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.
+ ///
+ /// ```
+ /// 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());
+ }
+
+ #[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());
+ }
+
+ #[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());
+ }
+
+ #[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]
+ #[allow(deprecated)]
+ fn test_integer_decode() {
+ assert_eq!(3.14159265359f64.integer_decode(), (7074237752028906, -51, 1));
+ assert_eq!((-8573.5918555f64).integer_decode(), (4713381968463931, -39, -1));
+ assert_eq!(2f64.powf(100.0).integer_decode(), (4503599627370496, 48, 1));
+ assert_eq!(0f64.integer_decode(), (0, -1075, 1));
+ assert_eq!((-0f64).integer_decode(), (0, -1075, -1));
+ assert_eq!(INFINITY.integer_decode(), (4503599627370496, 972, 1));
+ assert_eq!(NEG_INFINITY.integer_decode(), (4503599627370496, 972, -1));
+
+ // Ignore the "sign" (quiet / signalling flag) of NAN.
+ // It can vary between runtime operations and LLVM folding.
+ let (nan_m, nan_e, _nan_s) = NAN.integer_decode();
+ assert_eq!((nan_m, nan_e), (6755399441055744, 972));
+ }
+
+ #[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());
+ }
+
+ #[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());
+ }
+
+ #[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]
+ #[allow(deprecated)]
+ fn test_ldexp() {
+ let f1 = 2.0f64.powi(-123);
+ let f2 = 2.0f64.powi(-111);
+ let f3 = 1.75 * 2.0f64.powi(-12);
+ assert_eq!(f64::ldexp(1f64, -123), f1);
+ assert_eq!(f64::ldexp(1f64, -111), f2);
+ assert_eq!(f64::ldexp(1.75f64, -12), f3);
+
+ assert_eq!(f64::ldexp(0f64, -123), 0f64);
+ assert_eq!(f64::ldexp(-0f64, -123), -0f64);
+
+ let inf: f64 = INFINITY;
+ let neg_inf: f64 = NEG_INFINITY;
+ let nan: f64 = NAN;
+ assert_eq!(f64::ldexp(inf, -123), inf);
+ assert_eq!(f64::ldexp(neg_inf, -123), neg_inf);
+ assert!(f64::ldexp(nan, -123).is_nan());
+ }
+
+ #[test]
+ #[allow(deprecated)]
+ fn test_frexp() {
+ let f1 = 2.0f64.powi(-123);
+ let f2 = 2.0f64.powi(-111);
+ let f3 = 1.75 * 2.0f64.powi(-123);
+ let (x1, exp1) = f1.frexp();
+ let (x2, exp2) = f2.frexp();
+ let (x3, exp3) = f3.frexp();
+ assert_eq!((x1, exp1), (0.5f64, -122));
+ assert_eq!((x2, exp2), (0.5f64, -110));
+ assert_eq!((x3, exp3), (0.875f64, -122));
+ assert_eq!(f64::ldexp(x1, exp1), f1);
+ assert_eq!(f64::ldexp(x2, exp2), f2);
+ assert_eq!(f64::ldexp(x3, exp3), f3);
+
+ assert_eq!(0f64.frexp(), (0f64, 0));
+ assert_eq!((-0f64).frexp(), (-0f64, 0));
+ }
+
+ #[test] #[cfg_attr(windows, ignore)] // FIXME #8755
+ #[allow(deprecated)]
+ fn test_frexp_nowin() {
+ let inf: f64 = INFINITY;
+ let neg_inf: f64 = NEG_INFINITY;
+ let nan: f64 = NAN;
+ assert_eq!(match inf.frexp() { (x, _) => x }, inf);
+ assert_eq!(match neg_inf.frexp() { (x, _) => x }, neg_inf);
+ assert!(match nan.frexp() { (x, _) => x.is_nan() })
+ }
+
+ #[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());
+ }
+}
#[stable(feature = "rust1", since = "1.0.0")]
pub use rustc_unicode::char;
-#[path = "num/f32.rs"] pub mod f32;
-#[path = "num/f64.rs"] pub mod f64;
+pub mod f32;
+pub mod f64;
#[macro_use]
pub mod thread;
--- /dev/null
+// Copyright 2012-2014 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.
+
+//! Additional functionality for numerics.
+//!
+//! This module provides some extra types that are useful when doing numerical
+//! work. See the individual documentation for each piece for more information.
+
+#![stable(feature = "rust1", since = "1.0.0")]
+#![allow(missing_docs)]
+
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(deprecated)]
+pub use core::num::{Zero, One};
+#[stable(feature = "rust1", since = "1.0.0")]
+pub use core::num::{FpCategory, ParseIntError, ParseFloatError, TryFromIntError};
+#[stable(feature = "rust1", since = "1.0.0")]
+pub use core::num::Wrapping;
+
+#[cfg(test)] use fmt;
+#[cfg(test)] use ops::{Add, Sub, Mul, Div, Rem};
+
+/// Helper function for testing numeric operations
+#[cfg(test)]
+pub fn test_num<T>(ten: T, two: T) where
+ T: PartialEq
+ + Add<Output=T> + Sub<Output=T>
+ + Mul<Output=T> + Div<Output=T>
+ + Rem<Output=T> + fmt::Debug
+ + Copy
+{
+ assert_eq!(ten.add(two), ten + two);
+ assert_eq!(ten.sub(two), ten - two);
+ assert_eq!(ten.mul(two), ten * two);
+ assert_eq!(ten.div(two), ten / two);
+ assert_eq!(ten.rem(two), ten % two);
+}
+
+#[cfg(test)]
+mod tests {
+ use u8;
+ use u16;
+ use u32;
+ use u64;
+ use usize;
+ use ops::Mul;
+
+ #[test]
+ fn test_saturating_add_uint() {
+ use usize::MAX;
+ assert_eq!(3_usize.saturating_add(5_usize), 8_usize);
+ assert_eq!(3_usize.saturating_add(MAX-1), MAX);
+ assert_eq!(MAX.saturating_add(MAX), MAX);
+ assert_eq!((MAX-2).saturating_add(1), MAX-1);
+ }
+
+ #[test]
+ fn test_saturating_sub_uint() {
+ use usize::MAX;
+ assert_eq!(5_usize.saturating_sub(3_usize), 2_usize);
+ assert_eq!(3_usize.saturating_sub(5_usize), 0_usize);
+ assert_eq!(0_usize.saturating_sub(1_usize), 0_usize);
+ assert_eq!((MAX-1).saturating_sub(MAX), 0);
+ }
+
+ #[test]
+ fn test_saturating_add_int() {
+ use isize::{MIN,MAX};
+ assert_eq!(3i32.saturating_add(5), 8);
+ assert_eq!(3isize.saturating_add(MAX-1), MAX);
+ assert_eq!(MAX.saturating_add(MAX), MAX);
+ assert_eq!((MAX-2).saturating_add(1), MAX-1);
+ assert_eq!(3i32.saturating_add(-5), -2);
+ assert_eq!(MIN.saturating_add(-1), MIN);
+ assert_eq!((-2isize).saturating_add(-MAX), MIN);
+ }
+
+ #[test]
+ fn test_saturating_sub_int() {
+ use isize::{MIN,MAX};
+ assert_eq!(3i32.saturating_sub(5), -2);
+ assert_eq!(MIN.saturating_sub(1), MIN);
+ assert_eq!((-2isize).saturating_sub(MAX), MIN);
+ assert_eq!(3i32.saturating_sub(-5), 8);
+ assert_eq!(3isize.saturating_sub(-(MAX-1)), MAX);
+ assert_eq!(MAX.saturating_sub(-MAX), MAX);
+ assert_eq!((MAX-2).saturating_sub(-1), MAX-1);
+ }
+
+ #[test]
+ fn test_checked_add() {
+ let five_less = usize::MAX - 5;
+ assert_eq!(five_less.checked_add(0), Some(usize::MAX - 5));
+ assert_eq!(five_less.checked_add(1), Some(usize::MAX - 4));
+ assert_eq!(five_less.checked_add(2), Some(usize::MAX - 3));
+ assert_eq!(five_less.checked_add(3), Some(usize::MAX - 2));
+ assert_eq!(five_less.checked_add(4), Some(usize::MAX - 1));
+ assert_eq!(five_less.checked_add(5), Some(usize::MAX));
+ assert_eq!(five_less.checked_add(6), None);
+ assert_eq!(five_less.checked_add(7), None);
+ }
+
+ #[test]
+ fn test_checked_sub() {
+ assert_eq!(5_usize.checked_sub(0), Some(5));
+ assert_eq!(5_usize.checked_sub(1), Some(4));
+ assert_eq!(5_usize.checked_sub(2), Some(3));
+ assert_eq!(5_usize.checked_sub(3), Some(2));
+ assert_eq!(5_usize.checked_sub(4), Some(1));
+ assert_eq!(5_usize.checked_sub(5), Some(0));
+ assert_eq!(5_usize.checked_sub(6), None);
+ assert_eq!(5_usize.checked_sub(7), None);
+ }
+
+ #[test]
+ fn test_checked_mul() {
+ let third = usize::MAX / 3;
+ assert_eq!(third.checked_mul(0), Some(0));
+ assert_eq!(third.checked_mul(1), Some(third));
+ assert_eq!(third.checked_mul(2), Some(third * 2));
+ assert_eq!(third.checked_mul(3), Some(third * 3));
+ assert_eq!(third.checked_mul(4), None);
+ }
+
+ macro_rules! test_is_power_of_two {
+ ($test_name:ident, $T:ident) => (
+ fn $test_name() {
+ #![test]
+ assert_eq!((0 as $T).is_power_of_two(), false);
+ assert_eq!((1 as $T).is_power_of_two(), true);
+ assert_eq!((2 as $T).is_power_of_two(), true);
+ assert_eq!((3 as $T).is_power_of_two(), false);
+ assert_eq!((4 as $T).is_power_of_two(), true);
+ assert_eq!((5 as $T).is_power_of_two(), false);
+ assert_eq!(($T::MAX / 2 + 1).is_power_of_two(), true);
+ }
+ )
+ }
+
+ test_is_power_of_two!{ test_is_power_of_two_u8, u8 }
+ test_is_power_of_two!{ test_is_power_of_two_u16, u16 }
+ test_is_power_of_two!{ test_is_power_of_two_u32, u32 }
+ test_is_power_of_two!{ test_is_power_of_two_u64, u64 }
+ test_is_power_of_two!{ test_is_power_of_two_uint, usize }
+
+ macro_rules! test_next_power_of_two {
+ ($test_name:ident, $T:ident) => (
+ fn $test_name() {
+ #![test]
+ assert_eq!((0 as $T).next_power_of_two(), 1);
+ let mut next_power = 1;
+ for i in 1 as $T..40 {
+ assert_eq!(i.next_power_of_two(), next_power);
+ if i == next_power { next_power *= 2 }
+ }
+ }
+ )
+ }
+
+ test_next_power_of_two! { test_next_power_of_two_u8, u8 }
+ test_next_power_of_two! { test_next_power_of_two_u16, u16 }
+ test_next_power_of_two! { test_next_power_of_two_u32, u32 }
+ test_next_power_of_two! { test_next_power_of_two_u64, u64 }
+ test_next_power_of_two! { test_next_power_of_two_uint, usize }
+
+ macro_rules! test_checked_next_power_of_two {
+ ($test_name:ident, $T:ident) => (
+ fn $test_name() {
+ #![test]
+ assert_eq!((0 as $T).checked_next_power_of_two(), Some(1));
+ assert!(($T::MAX / 2).checked_next_power_of_two().is_some());
+ assert_eq!(($T::MAX - 1).checked_next_power_of_two(), None);
+ assert_eq!($T::MAX.checked_next_power_of_two(), None);
+ let mut next_power = 1;
+ for i in 1 as $T..40 {
+ assert_eq!(i.checked_next_power_of_two(), Some(next_power));
+ if i == next_power { next_power *= 2 }
+ }
+ }
+ )
+ }
+
+ test_checked_next_power_of_two! { test_checked_next_power_of_two_u8, u8 }
+ test_checked_next_power_of_two! { test_checked_next_power_of_two_u16, u16 }
+ test_checked_next_power_of_two! { test_checked_next_power_of_two_u32, u32 }
+ test_checked_next_power_of_two! { test_checked_next_power_of_two_u64, u64 }
+ test_checked_next_power_of_two! { test_checked_next_power_of_two_uint, usize }
+
+ #[test]
+ fn test_pow() {
+ fn naive_pow<T: Mul<Output=T> + Copy>(one: T, base: T, exp: usize) -> T {
+ (0..exp).fold(one, |acc, _| acc * base)
+ }
+ macro_rules! assert_pow {
+ (($num:expr, $exp:expr) => $expected:expr) => {{
+ let result = $num.pow($exp);
+ assert_eq!(result, $expected);
+ assert_eq!(result, naive_pow(1, $num, $exp));
+ }}
+ }
+ assert_pow!((3u32, 0 ) => 1);
+ assert_pow!((5u32, 1 ) => 5);
+ assert_pow!((-4i32, 2 ) => 16);
+ assert_pow!((8u32, 3 ) => 512);
+ assert_pow!((2u64, 50) => 1125899906842624);
+ }
+
+ #[test]
+ fn test_uint_to_str_overflow() {
+ let mut u8_val: u8 = 255;
+ assert_eq!(u8_val.to_string(), "255");
+
+ u8_val = u8_val.wrapping_add(1);
+ assert_eq!(u8_val.to_string(), "0");
+
+ let mut u16_val: u16 = 65_535;
+ assert_eq!(u16_val.to_string(), "65535");
+
+ u16_val = u16_val.wrapping_add(1);
+ assert_eq!(u16_val.to_string(), "0");
+
+ let mut u32_val: u32 = 4_294_967_295;
+ assert_eq!(u32_val.to_string(), "4294967295");
+
+ u32_val = u32_val.wrapping_add(1);
+ assert_eq!(u32_val.to_string(), "0");
+
+ let mut u64_val: u64 = 18_446_744_073_709_551_615;
+ assert_eq!(u64_val.to_string(), "18446744073709551615");
+
+ u64_val = u64_val.wrapping_add(1);
+ assert_eq!(u64_val.to_string(), "0");
+ }
+
+ fn from_str<T: ::str::FromStr>(t: &str) -> Option<T> {
+ ::str::FromStr::from_str(t).ok()
+ }
+
+ #[test]
+ fn test_uint_from_str_overflow() {
+ let mut u8_val: u8 = 255;
+ assert_eq!(from_str::<u8>("255"), Some(u8_val));
+ assert_eq!(from_str::<u8>("256"), None);
+
+ u8_val = u8_val.wrapping_add(1);
+ assert_eq!(from_str::<u8>("0"), Some(u8_val));
+ assert_eq!(from_str::<u8>("-1"), None);
+
+ let mut u16_val: u16 = 65_535;
+ assert_eq!(from_str::<u16>("65535"), Some(u16_val));
+ assert_eq!(from_str::<u16>("65536"), None);
+
+ u16_val = u16_val.wrapping_add(1);
+ assert_eq!(from_str::<u16>("0"), Some(u16_val));
+ assert_eq!(from_str::<u16>("-1"), None);
+
+ let mut u32_val: u32 = 4_294_967_295;
+ assert_eq!(from_str::<u32>("4294967295"), Some(u32_val));
+ assert_eq!(from_str::<u32>("4294967296"), None);
+
+ u32_val = u32_val.wrapping_add(1);
+ assert_eq!(from_str::<u32>("0"), Some(u32_val));
+ assert_eq!(from_str::<u32>("-1"), None);
+
+ let mut u64_val: u64 = 18_446_744_073_709_551_615;
+ assert_eq!(from_str::<u64>("18446744073709551615"), Some(u64_val));
+ assert_eq!(from_str::<u64>("18446744073709551616"), None);
+
+ u64_val = u64_val.wrapping_add(1);
+ assert_eq!(from_str::<u64>("0"), Some(u64_val));
+ assert_eq!(from_str::<u64>("-1"), None);
+ }
+}
+
+
+#[cfg(test)]
+mod bench {
+ extern crate test;
+ use self::test::Bencher;
+
+ #[bench]
+ fn bench_pow_function(b: &mut Bencher) {
+ let v = (0..1024).collect::<Vec<u32>>();
+ b.iter(|| {v.iter().fold(0u32, |old, new| old.pow(*new as u32));});
+ }
+}
+++ /dev/null
-// 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.
-
-//! The 32-bit floating point type.
-//!
-//! *[See also the `f32` primitive type](../primitive.f32.html).*
-
-#![stable(feature = "rust1", since = "1.0.0")]
-#![allow(missing_docs)]
-
-#[cfg(not(test))]
-use core::num;
-#[cfg(not(test))]
-use intrinsics;
-#[cfg(not(test))]
-use libc::c_int;
-#[cfg(not(test))]
-use num::FpCategory;
-
-
-#[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;
-
-#[allow(dead_code)]
-mod cmath {
- use libc::{c_float, c_int};
-
- extern {
- pub fn cbrtf(n: c_float) -> c_float;
- pub fn erff(n: c_float) -> c_float;
- pub fn erfcf(n: c_float) -> c_float;
- pub fn expm1f(n: c_float) -> c_float;
- pub fn fdimf(a: c_float, b: c_float) -> c_float;
- pub fn fmaxf(a: c_float, b: c_float) -> c_float;
- pub fn fminf(a: c_float, b: c_float) -> c_float;
- pub fn fmodf(a: c_float, b: c_float) -> c_float;
- pub fn ilogbf(n: c_float) -> c_int;
- pub fn logbf(n: c_float) -> c_float;
- pub fn log1pf(n: c_float) -> c_float;
- pub fn modff(n: c_float, iptr: &mut c_float) -> c_float;
- pub fn nextafterf(x: c_float, y: c_float) -> c_float;
- pub fn tgammaf(n: c_float) -> c_float;
-
- #[cfg_attr(all(windows, target_env = "msvc"), link_name = "__lgammaf_r")]
- pub fn lgammaf_r(n: c_float, sign: &mut c_int) -> c_float;
- #[cfg_attr(all(windows, target_env = "msvc"), link_name = "_hypotf")]
- pub fn hypotf(x: c_float, y: c_float) -> c_float;
- }
-
- // See the comments in the `floor` function for why MSVC is special
- // here.
- #[cfg(not(target_env = "msvc"))]
- extern {
- pub fn acosf(n: c_float) -> c_float;
- pub fn asinf(n: c_float) -> c_float;
- pub fn atan2f(a: c_float, b: c_float) -> c_float;
- pub fn atanf(n: c_float) -> c_float;
- pub fn coshf(n: c_float) -> c_float;
- pub fn frexpf(n: c_float, value: &mut c_int) -> c_float;
- pub fn ldexpf(x: c_float, n: c_int) -> c_float;
- pub fn sinhf(n: c_float) -> c_float;
- pub fn tanf(n: c_float) -> c_float;
- pub fn tanhf(n: c_float) -> c_float;
- }
-
- #[cfg(target_env = "msvc")]
- pub use self::shims::*;
- #[cfg(target_env = "msvc")]
- mod shims {
- use libc::{c_float, c_int};
-
- #[inline]
- pub unsafe fn acosf(n: c_float) -> c_float {
- f64::acos(n as f64) as c_float
- }
-
- #[inline]
- pub unsafe fn asinf(n: c_float) -> c_float {
- f64::asin(n as f64) as c_float
- }
-
- #[inline]
- pub unsafe fn atan2f(n: c_float, b: c_float) -> c_float {
- f64::atan2(n as f64, b as f64) as c_float
- }
-
- #[inline]
- pub unsafe fn atanf(n: c_float) -> c_float {
- f64::atan(n as f64) as c_float
- }
-
- #[inline]
- pub unsafe fn coshf(n: c_float) -> c_float {
- f64::cosh(n as f64) as c_float
- }
-
- #[inline]
- #[allow(deprecated)]
- pub unsafe fn frexpf(x: c_float, value: &mut c_int) -> c_float {
- let (a, b) = f64::frexp(x as f64);
- *value = b as c_int;
- a as c_float
- }
-
- #[inline]
- #[allow(deprecated)]
- pub unsafe fn ldexpf(x: c_float, n: c_int) -> c_float {
- f64::ldexp(x as f64, n as isize) as c_float
- }
-
- #[inline]
- pub unsafe fn sinhf(n: c_float) -> c_float {
- f64::sinh(n as f64) as c_float
- }
-
- #[inline]
- pub unsafe fn tanf(n: c_float) -> c_float {
- f64::tan(n as f64) as c_float
- }
-
- #[inline]
- pub unsafe fn tanhf(n: c_float) -> c_float {
- f64::tanh(n as f64) as c_float
- }
- }
-}
-
-#[cfg(not(test))]
-#[lang = "f32"]
-impl f32 {
- /// Returns `true` if this value is `NaN` and false otherwise.
- ///
- /// ```
- /// use std::f32;
- ///
- /// let nan = f32::NAN;
- /// let f = 7.0_f32;
- ///
- /// assert!(nan.is_nan());
- /// assert!(!f.is_nan());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_nan(self) -> bool { num::Float::is_nan(self) }
-
- /// Returns `true` if this value is positive infinity or negative infinity and
- /// false otherwise.
- ///
- /// ```
- /// use std::f32;
- ///
- /// let f = 7.0f32;
- /// let inf = f32::INFINITY;
- /// let neg_inf = f32::NEG_INFINITY;
- /// let nan = f32::NAN;
- ///
- /// assert!(!f.is_infinite());
- /// assert!(!nan.is_infinite());
- ///
- /// assert!(inf.is_infinite());
- /// assert!(neg_inf.is_infinite());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_infinite(self) -> bool { num::Float::is_infinite(self) }
-
- /// Returns `true` if this number is neither infinite nor `NaN`.
- ///
- /// ```
- /// use std::f32;
- ///
- /// let f = 7.0f32;
- /// let inf = f32::INFINITY;
- /// let neg_inf = f32::NEG_INFINITY;
- /// let nan = f32::NAN;
- ///
- /// assert!(f.is_finite());
- ///
- /// assert!(!nan.is_finite());
- /// assert!(!inf.is_finite());
- /// assert!(!neg_inf.is_finite());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_finite(self) -> bool { num::Float::is_finite(self) }
-
- /// Returns `true` if the number is neither zero, infinite,
- /// [subnormal][subnormal], or `NaN`.
- ///
- /// ```
- /// use std::f32;
- ///
- /// let min = f32::MIN_POSITIVE; // 1.17549435e-38f32
- /// let max = f32::MAX;
- /// let lower_than_min = 1.0e-40_f32;
- /// let zero = 0.0_f32;
- ///
- /// assert!(min.is_normal());
- /// assert!(max.is_normal());
- ///
- /// assert!(!zero.is_normal());
- /// assert!(!f32::NAN.is_normal());
- /// assert!(!f32::INFINITY.is_normal());
- /// // Values between `0` and `min` are Subnormal.
- /// assert!(!lower_than_min.is_normal());
- /// ```
- /// [subnormal]: https://en.wikipedia.org/wiki/Denormal_number
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_normal(self) -> bool { num::Float::is_normal(self) }
-
- /// Returns the floating point category of the number. If only one property
- /// is going to be tested, it is generally faster to use the specific
- /// predicate instead.
- ///
- /// ```
- /// use std::num::FpCategory;
- /// use std::f32;
- ///
- /// let num = 12.4_f32;
- /// let inf = f32::INFINITY;
- ///
- /// assert_eq!(num.classify(), FpCategory::Normal);
- /// assert_eq!(inf.classify(), FpCategory::Infinite);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn classify(self) -> FpCategory { num::Float::classify(self) }
-
- /// Returns the mantissa, base 2 exponent, and sign as integers, respectively.
- /// The original number can be recovered by `sign * mantissa * 2 ^ exponent`.
- /// The floating point encoding is documented in the [Reference][floating-point].
- ///
- /// ```
- /// #![feature(float_extras)]
- ///
- /// use std::f32;
- ///
- /// let num = 2.0f32;
- ///
- /// // (8388608, -22, 1)
- /// let (mantissa, exponent, sign) = num.integer_decode();
- /// let sign_f = sign as f32;
- /// let mantissa_f = mantissa as f32;
- /// let exponent_f = num.powf(exponent as f32);
- ///
- /// // 1 * 8388608 * 2^(-22) == 2
- /// let abs_difference = (sign_f * mantissa_f * exponent_f - num).abs();
- ///
- /// assert!(abs_difference <= f32::EPSILON);
- /// ```
- /// [floating-point]: ../reference.html#machine-types
- #[unstable(feature = "float_extras", reason = "signature is undecided",
- issue = "27752")]
- #[rustc_deprecated(since = "1.11.0",
- reason = "never really came to fruition and easily \
- implementable outside the standard library")]
- #[inline]
- #[allow(deprecated)]
- pub fn integer_decode(self) -> (u64, i16, i8) {
- num::Float::integer_decode(self)
- }
-
- /// Returns the largest integer less than or equal to a number.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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`.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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`.
- ///
- /// ```
- /// 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 { num::Float::abs(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`
- ///
- /// ```
- /// 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 { num::Float::signum(self) }
-
- /// Returns `true` if `self`'s sign bit is positive, including
- /// `+0.0` and `INFINITY`.
- ///
- /// ```
- /// use std::f32;
- ///
- /// let nan = f32::NAN;
- /// let f = 7.0_f32;
- /// let g = -7.0_f32;
- ///
- /// assert!(f.is_sign_positive());
- /// assert!(!g.is_sign_positive());
- /// // Requires both tests to determine if is `NaN`
- /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_sign_positive(self) -> bool { num::Float::is_sign_positive(self) }
-
- /// Returns `true` if `self`'s sign is negative, including `-0.0`
- /// and `NEG_INFINITY`.
- ///
- /// ```
- /// use std::f32;
- ///
- /// let nan = f32::NAN;
- /// let f = 7.0f32;
- /// let g = -7.0f32;
- ///
- /// assert!(!f.is_sign_negative());
- /// assert!(g.is_sign_negative());
- /// // Requires both tests to determine if is `NaN`.
- /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_sign_negative(self) -> bool { num::Float::is_sign_negative(self) }
-
- /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
- /// error. This produces a more accurate result with better performance than
- /// a separate multiplication operation followed by an add.
- ///
- /// ```
- /// 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) }
- }
-
- /// Takes the reciprocal (inverse) of a number, `1/x`.
- ///
- /// ```
- /// use std::f32;
- ///
- /// let x = 2.0_f32;
- /// let abs_difference = (x.recip() - (1.0/x)).abs();
- ///
- /// assert!(abs_difference <= f32::EPSILON);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn recip(self) -> f32 { num::Float::recip(self) }
-
- /// Raises a number to an integer power.
- ///
- /// Using this function is generally faster than using `powf`
- ///
- /// ```
- /// 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 { num::Float::powi(self, n) }
-
- /// Raises a number to a floating point power.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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).
- ///
- /// ```
- /// 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)`.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// use std::f32;
- ///
- /// let ten = 10.0f32;
- /// let two = 2.0f32;
- ///
- /// // log10(10) - 1 == 0
- /// let abs_difference_10 = (ten.log(10.0) - 1.0).abs();
- ///
- /// // log2(2) - 1 == 0
- /// let abs_difference_2 = (two.log(2.0) - 1.0).abs();
- ///
- /// assert!(abs_difference_10 <= f32::EPSILON);
- /// assert!(abs_difference_2 <= 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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) };
- }
-
- /// Converts radians to degrees.
- ///
- /// ```
- /// use std::f32::{self, consts};
- ///
- /// let angle = consts::PI;
- ///
- /// let abs_difference = (angle.to_degrees() - 180.0).abs();
- ///
- /// assert!(abs_difference <= f32::EPSILON);
- /// ```
- #[stable(feature = "f32_deg_rad_conversions", since="1.7.0")]
- #[inline]
- pub fn to_degrees(self) -> f32 { num::Float::to_degrees(self) }
-
- /// Converts degrees to radians.
- ///
- /// ```
- /// use std::f32::{self, consts};
- ///
- /// let angle = 180.0f32;
- ///
- /// let abs_difference = (angle.to_radians() - consts::PI).abs();
- ///
- /// assert!(abs_difference <= f32::EPSILON);
- /// ```
- #[stable(feature = "f32_deg_rad_conversions", since="1.7.0")]
- #[inline]
- pub fn to_radians(self) -> f32 { num::Float::to_radians(self) }
-
- /// Constructs a floating point number of `x*2^exp`.
- ///
- /// ```
- /// #![feature(float_extras)]
- ///
- /// use std::f32;
- /// // 3*2^2 - 12 == 0
- /// let abs_difference = (f32::ldexp(3.0, 2) - 12.0).abs();
- ///
- /// assert!(abs_difference <= f32::EPSILON);
- /// ```
- #[unstable(feature = "float_extras",
- reason = "pending integer conventions",
- issue = "27752")]
- #[rustc_deprecated(since = "1.11.0",
- reason = "never really came to fruition and easily \
- implementable outside the standard library")]
- #[inline]
- pub fn ldexp(x: f32, exp: isize) -> f32 {
- unsafe { cmath::ldexpf(x, exp as c_int) }
- }
-
- /// Breaks the number into a normalized fraction and a base-2 exponent,
- /// satisfying:
- ///
- /// * `self = x * 2^exp`
- /// * `0.5 <= abs(x) < 1.0`
- ///
- /// ```
- /// #![feature(float_extras)]
- ///
- /// use std::f32;
- ///
- /// let x = 4.0f32;
- ///
- /// // (1/2)*2^3 -> 1 * 8/2 -> 4.0
- /// let f = x.frexp();
- /// let abs_difference_0 = (f.0 - 0.5).abs();
- /// let abs_difference_1 = (f.1 as f32 - 3.0).abs();
- ///
- /// assert!(abs_difference_0 <= f32::EPSILON);
- /// assert!(abs_difference_1 <= f32::EPSILON);
- /// ```
- #[unstable(feature = "float_extras",
- reason = "pending integer conventions",
- issue = "27752")]
- #[rustc_deprecated(since = "1.11.0",
- reason = "never really came to fruition and easily \
- implementable outside the standard library")]
- #[inline]
- pub fn frexp(self) -> (f32, isize) {
- unsafe {
- let mut exp = 0;
- let x = cmath::frexpf(self, &mut exp);
- (x, exp as isize)
- }
- }
-
- /// Returns the next representable floating-point value in the direction of
- /// `other`.
- ///
- /// ```
- /// #![feature(float_extras)]
- ///
- /// use std::f32;
- ///
- /// let x = 1.0f32;
- ///
- /// let abs_diff = (x.next_after(2.0) - 1.00000011920928955078125_f32).abs();
- ///
- /// assert!(abs_diff <= f32::EPSILON);
- /// ```
- #[unstable(feature = "float_extras",
- reason = "unsure about its place in the world",
- issue = "27752")]
- #[rustc_deprecated(since = "1.11.0",
- reason = "never really came to fruition and easily \
- implementable outside the standard library")]
- #[inline]
- pub fn next_after(self, other: f32) -> f32 {
- unsafe { cmath::nextafterf(self, other) }
- }
-
- /// Returns the maximum of the two numbers.
- ///
- /// ```
- /// let x = 1.0f32;
- /// let y = 2.0f32;
- ///
- /// assert_eq!(x.max(y), y);
- /// ```
- ///
- /// If one of the arguments is NaN, then the other argument is returned.
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn max(self, other: f32) -> f32 {
- unsafe { cmath::fmaxf(self, other) }
- }
-
- /// Returns the minimum of the two numbers.
- ///
- /// ```
- /// let x = 1.0f32;
- /// let y = 2.0f32;
- ///
- /// assert_eq!(x.min(y), x);
- /// ```
- ///
- /// If one of the arguments is NaN, then the other argument is returned.
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn min(self, other: f32) -> f32 {
- unsafe { cmath::fminf(self, other) }
- }
-
- /// The positive difference of two numbers.
- ///
- /// * If `self <= other`: `0:0`
- /// * Else: `self - other`
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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`.
- ///
- /// ```
- /// 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).
- ///
- /// ```
- /// 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).
- ///
- /// ```
- /// 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).
- ///
- /// ```
- /// 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].
- ///
- /// ```
- /// 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].
- ///
- /// ```
- /// 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];
- ///
- /// ```
- /// 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`).
- ///
- /// * `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 std::f32;
- ///
- /// let pi = f32::consts::PI;
- /// // All angles from horizontal right (+x)
- /// // 45 deg counter-clockwise
- /// let x1 = 3.0f32;
- /// let y1 = -3.0f32;
- ///
- /// // 135 deg 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))`.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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]
- #[allow(deprecated)]
- fn test_integer_decode() {
- assert_eq!(3.14159265359f32.integer_decode(), (13176795, -22, 1));
- assert_eq!((-8573.5918555f32).integer_decode(), (8779358, -10, -1));
- assert_eq!(2f32.powf(100.0).integer_decode(), (8388608, 77, 1));
- assert_eq!(0f32.integer_decode(), (0, -150, 1));
- assert_eq!((-0f32).integer_decode(), (0, -150, -1));
- assert_eq!(INFINITY.integer_decode(), (8388608, 105, 1));
- assert_eq!(NEG_INFINITY.integer_decode(), (8388608, 105, -1));
-
- // Ignore the "sign" (quiet / signalling flag) of NAN.
- // It can vary between runtime operations and LLVM folding.
- let (nan_m, nan_e, _nan_s) = NAN.integer_decode();
- assert_eq!((nan_m, nan_e), (12582912, 105));
- }
-
- #[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());
- }
-
- #[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());
- }
-
- #[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);
- }
-
- #[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]
- #[allow(deprecated)]
- fn test_ldexp() {
- let f1 = 2.0f32.powi(-123);
- let f2 = 2.0f32.powi(-111);
- let f3 = 1.75 * 2.0f32.powi(-12);
- assert_eq!(f32::ldexp(1f32, -123), f1);
- assert_eq!(f32::ldexp(1f32, -111), f2);
- assert_eq!(f32::ldexp(1.75f32, -12), f3);
-
- assert_eq!(f32::ldexp(0f32, -123), 0f32);
- assert_eq!(f32::ldexp(-0f32, -123), -0f32);
-
- let inf: f32 = f32::INFINITY;
- let neg_inf: f32 = f32::NEG_INFINITY;
- let nan: f32 = f32::NAN;
- assert_eq!(f32::ldexp(inf, -123), inf);
- assert_eq!(f32::ldexp(neg_inf, -123), neg_inf);
- assert!(f32::ldexp(nan, -123).is_nan());
- }
-
- #[test]
- #[allow(deprecated)]
- fn test_frexp() {
- let f1 = 2.0f32.powi(-123);
- let f2 = 2.0f32.powi(-111);
- let f3 = 1.75 * 2.0f32.powi(-123);
- let (x1, exp1) = f1.frexp();
- let (x2, exp2) = f2.frexp();
- let (x3, exp3) = f3.frexp();
- assert_eq!((x1, exp1), (0.5f32, -122));
- assert_eq!((x2, exp2), (0.5f32, -110));
- assert_eq!((x3, exp3), (0.875f32, -122));
- assert_eq!(f32::ldexp(x1, exp1), f1);
- assert_eq!(f32::ldexp(x2, exp2), f2);
- assert_eq!(f32::ldexp(x3, exp3), f3);
-
- assert_eq!(0f32.frexp(), (0f32, 0));
- assert_eq!((-0f32).frexp(), (-0f32, 0));
- }
-
- #[test] #[cfg_attr(windows, ignore)] // FIXME #8755
- #[allow(deprecated)]
- fn test_frexp_nowin() {
- let inf: f32 = f32::INFINITY;
- let neg_inf: f32 = f32::NEG_INFINITY;
- let nan: f32 = f32::NAN;
- assert_eq!(match inf.frexp() { (x, _) => x }, inf);
- assert_eq!(match neg_inf.frexp() { (x, _) => x }, neg_inf);
- assert!(match nan.frexp() { (x, _) => x.is_nan() })
- }
-
- #[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());
- }
-}
+++ /dev/null
-// 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.
-
-//! The 64-bit floating point type.
-//!
-//! *[See also the `f64` primitive type](../primitive.f64.html).*
-
-#![stable(feature = "rust1", since = "1.0.0")]
-#![allow(missing_docs)]
-
-#[cfg(not(test))]
-use core::num;
-#[cfg(not(test))]
-use intrinsics;
-#[cfg(not(test))]
-use libc::c_int;
-#[cfg(not(test))]
-use num::FpCategory;
-
-#[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;
-
-#[allow(dead_code)]
-mod cmath {
- use libc::{c_double, c_int};
-
- #[link_name = "m"]
- extern {
- pub fn acos(n: c_double) -> c_double;
- pub fn asin(n: c_double) -> c_double;
- pub fn atan(n: c_double) -> c_double;
- pub fn atan2(a: c_double, b: c_double) -> c_double;
- pub fn cbrt(n: c_double) -> c_double;
- pub fn cosh(n: c_double) -> c_double;
- pub fn erf(n: c_double) -> c_double;
- pub fn erfc(n: c_double) -> c_double;
- pub fn expm1(n: c_double) -> c_double;
- pub fn fdim(a: c_double, b: c_double) -> c_double;
- pub fn fmax(a: c_double, b: c_double) -> c_double;
- pub fn fmin(a: c_double, b: c_double) -> c_double;
- pub fn fmod(a: c_double, b: c_double) -> c_double;
- pub fn frexp(n: c_double, value: &mut c_int) -> c_double;
- pub fn ilogb(n: c_double) -> c_int;
- pub fn ldexp(x: c_double, n: c_int) -> c_double;
- pub fn logb(n: c_double) -> c_double;
- pub fn log1p(n: c_double) -> c_double;
- pub fn nextafter(x: c_double, y: c_double) -> c_double;
- pub fn modf(n: c_double, iptr: &mut c_double) -> c_double;
- pub fn sinh(n: c_double) -> c_double;
- pub fn tan(n: c_double) -> c_double;
- pub fn tanh(n: c_double) -> c_double;
- pub fn tgamma(n: c_double) -> c_double;
-
- // These are commonly only available for doubles
-
- pub fn j0(n: c_double) -> c_double;
- pub fn j1(n: c_double) -> c_double;
- pub fn jn(i: c_int, n: c_double) -> c_double;
-
- pub fn y0(n: c_double) -> c_double;
- pub fn y1(n: c_double) -> c_double;
- pub fn yn(i: c_int, n: c_double) -> c_double;
-
- #[cfg_attr(all(windows, target_env = "msvc"), link_name = "__lgamma_r")]
- pub fn lgamma_r(n: c_double, sign: &mut c_int) -> c_double;
-
- #[cfg_attr(all(windows, target_env = "msvc"), link_name = "_hypot")]
- pub fn hypot(x: c_double, y: c_double) -> c_double;
- }
-}
-
-#[cfg(not(test))]
-#[lang = "f64"]
-impl f64 {
- /// Returns `true` if this value is `NaN` and false otherwise.
- ///
- /// ```
- /// use std::f64;
- ///
- /// let nan = f64::NAN;
- /// let f = 7.0_f64;
- ///
- /// assert!(nan.is_nan());
- /// assert!(!f.is_nan());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_nan(self) -> bool { num::Float::is_nan(self) }
-
- /// Returns `true` if this value is positive infinity or negative infinity and
- /// false otherwise.
- ///
- /// ```
- /// use std::f64;
- ///
- /// let f = 7.0f64;
- /// let inf = f64::INFINITY;
- /// let neg_inf = f64::NEG_INFINITY;
- /// let nan = f64::NAN;
- ///
- /// assert!(!f.is_infinite());
- /// assert!(!nan.is_infinite());
- ///
- /// assert!(inf.is_infinite());
- /// assert!(neg_inf.is_infinite());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_infinite(self) -> bool { num::Float::is_infinite(self) }
-
- /// Returns `true` if this number is neither infinite nor `NaN`.
- ///
- /// ```
- /// use std::f64;
- ///
- /// let f = 7.0f64;
- /// let inf: f64 = f64::INFINITY;
- /// let neg_inf: f64 = f64::NEG_INFINITY;
- /// let nan: f64 = f64::NAN;
- ///
- /// assert!(f.is_finite());
- ///
- /// assert!(!nan.is_finite());
- /// assert!(!inf.is_finite());
- /// assert!(!neg_inf.is_finite());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_finite(self) -> bool { num::Float::is_finite(self) }
-
- /// Returns `true` if the number is neither zero, infinite,
- /// [subnormal][subnormal], or `NaN`.
- ///
- /// ```
- /// use std::f64;
- ///
- /// let min = f64::MIN_POSITIVE; // 2.2250738585072014e-308f64
- /// let max = f64::MAX;
- /// let lower_than_min = 1.0e-308_f64;
- /// let zero = 0.0f64;
- ///
- /// assert!(min.is_normal());
- /// assert!(max.is_normal());
- ///
- /// assert!(!zero.is_normal());
- /// assert!(!f64::NAN.is_normal());
- /// assert!(!f64::INFINITY.is_normal());
- /// // Values between `0` and `min` are Subnormal.
- /// assert!(!lower_than_min.is_normal());
- /// ```
- /// [subnormal]: https://en.wikipedia.org/wiki/Denormal_number
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_normal(self) -> bool { num::Float::is_normal(self) }
-
- /// Returns the floating point category of the number. If only one property
- /// is going to be tested, it is generally faster to use the specific
- /// predicate instead.
- ///
- /// ```
- /// use std::num::FpCategory;
- /// use std::f64;
- ///
- /// let num = 12.4_f64;
- /// let inf = f64::INFINITY;
- ///
- /// assert_eq!(num.classify(), FpCategory::Normal);
- /// assert_eq!(inf.classify(), FpCategory::Infinite);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn classify(self) -> FpCategory { num::Float::classify(self) }
-
- /// Returns the mantissa, base 2 exponent, and sign as integers, respectively.
- /// The original number can be recovered by `sign * mantissa * 2 ^ exponent`.
- /// The floating point encoding is documented in the [Reference][floating-point].
- ///
- /// ```
- /// #![feature(float_extras)]
- ///
- /// let num = 2.0f64;
- ///
- /// // (8388608, -22, 1)
- /// let (mantissa, exponent, sign) = num.integer_decode();
- /// let sign_f = sign as f64;
- /// let mantissa_f = mantissa as f64;
- /// let exponent_f = num.powf(exponent as f64);
- ///
- /// // 1 * 8388608 * 2^(-22) == 2
- /// let abs_difference = (sign_f * mantissa_f * exponent_f - num).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- /// [floating-point]: ../reference.html#machine-types
- #[unstable(feature = "float_extras", reason = "signature is undecided",
- issue = "27752")]
- #[rustc_deprecated(since = "1.11.0",
- reason = "never really came to fruition and easily \
- implementable outside the standard library")]
- #[inline]
- #[allow(deprecated)]
- pub fn integer_decode(self) -> (u64, i16, i8) { num::Float::integer_decode(self) }
-
- /// Returns the largest integer less than or equal to a number.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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`.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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`.
- ///
- /// ```
- /// 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 { num::Float::abs(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`
- ///
- /// ```
- /// 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 { num::Float::signum(self) }
-
- /// Returns `true` if `self`'s sign bit is positive, including
- /// `+0.0` and `INFINITY`.
- ///
- /// ```
- /// use std::f64;
- ///
- /// let nan: f64 = f64::NAN;
- ///
- /// let f = 7.0_f64;
- /// let g = -7.0_f64;
- ///
- /// assert!(f.is_sign_positive());
- /// assert!(!g.is_sign_positive());
- /// // Requires both tests to determine if is `NaN`
- /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_sign_positive(self) -> bool { num::Float::is_sign_positive(self) }
-
- #[stable(feature = "rust1", since = "1.0.0")]
- #[rustc_deprecated(since = "1.0.0", reason = "renamed to is_sign_positive")]
- #[inline]
- pub fn is_positive(self) -> bool { num::Float::is_sign_positive(self) }
-
- /// Returns `true` if `self`'s sign is negative, including `-0.0`
- /// and `NEG_INFINITY`.
- ///
- /// ```
- /// use std::f64;
- ///
- /// let nan = f64::NAN;
- ///
- /// let f = 7.0_f64;
- /// let g = -7.0_f64;
- ///
- /// assert!(!f.is_sign_negative());
- /// assert!(g.is_sign_negative());
- /// // Requires both tests to determine if is `NaN`.
- /// assert!(!nan.is_sign_positive() && !nan.is_sign_negative());
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn is_sign_negative(self) -> bool { num::Float::is_sign_negative(self) }
-
- #[stable(feature = "rust1", since = "1.0.0")]
- #[rustc_deprecated(since = "1.0.0", reason = "renamed to is_sign_negative")]
- #[inline]
- pub fn is_negative(self) -> bool { num::Float::is_sign_negative(self) }
-
- /// Fused multiply-add. Computes `(self * a) + b` with only one rounding
- /// error. This produces a more accurate result with better performance than
- /// a separate multiplication operation followed by an add.
- ///
- /// ```
- /// 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) }
- }
-
- /// Takes the reciprocal (inverse) of a number, `1/x`.
- ///
- /// ```
- /// let x = 2.0_f64;
- /// let abs_difference = (x.recip() - (1.0/x)).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn recip(self) -> f64 { num::Float::recip(self) }
-
- /// Raises a number to an integer power.
- ///
- /// Using this function is generally faster than using `powf`
- ///
- /// ```
- /// 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 { num::Float::powi(self, n) }
-
- /// Raises a number to a floating point power.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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).
- ///
- /// ```
- /// 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)`.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// let ten = 10.0_f64;
- /// let two = 2.0_f64;
- ///
- /// // log10(10) - 1 == 0
- /// let abs_difference_10 = (ten.log(10.0) - 1.0).abs();
- ///
- /// // log2(2) - 1 == 0
- /// let abs_difference_2 = (two.log(2.0) - 1.0).abs();
- ///
- /// assert!(abs_difference_10 < 1e-10);
- /// assert!(abs_difference_2 < 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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) } })
- }
-
- /// Converts radians to degrees.
- ///
- /// ```
- /// use std::f64::consts;
- ///
- /// let angle = consts::PI;
- ///
- /// let abs_difference = (angle.to_degrees() - 180.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn to_degrees(self) -> f64 { num::Float::to_degrees(self) }
-
- /// Converts degrees to radians.
- ///
- /// ```
- /// use std::f64::consts;
- ///
- /// let angle = 180.0_f64;
- ///
- /// let abs_difference = (angle.to_radians() - consts::PI).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn to_radians(self) -> f64 { num::Float::to_radians(self) }
-
- /// Constructs a floating point number of `x*2^exp`.
- ///
- /// ```
- /// #![feature(float_extras)]
- ///
- /// // 3*2^2 - 12 == 0
- /// let abs_difference = (f64::ldexp(3.0, 2) - 12.0).abs();
- ///
- /// assert!(abs_difference < 1e-10);
- /// ```
- #[unstable(feature = "float_extras",
- reason = "pending integer conventions",
- issue = "27752")]
- #[rustc_deprecated(since = "1.11.0",
- reason = "never really came to fruition and easily \
- implementable outside the standard library")]
- #[inline]
- pub fn ldexp(x: f64, exp: isize) -> f64 {
- unsafe { cmath::ldexp(x, exp as c_int) }
- }
-
- /// Breaks the number into a normalized fraction and a base-2 exponent,
- /// satisfying:
- ///
- /// * `self = x * 2^exp`
- /// * `0.5 <= abs(x) < 1.0`
- ///
- /// ```
- /// #![feature(float_extras)]
- ///
- /// let x = 4.0_f64;
- ///
- /// // (1/2)*2^3 -> 1 * 8/2 -> 4.0
- /// let f = x.frexp();
- /// let abs_difference_0 = (f.0 - 0.5).abs();
- /// let abs_difference_1 = (f.1 as f64 - 3.0).abs();
- ///
- /// assert!(abs_difference_0 < 1e-10);
- /// assert!(abs_difference_1 < 1e-10);
- /// ```
- #[unstable(feature = "float_extras",
- reason = "pending integer conventions",
- issue = "27752")]
- #[rustc_deprecated(since = "1.11.0",
- reason = "never really came to fruition and easily \
- implementable outside the standard library")]
- #[inline]
- pub fn frexp(self) -> (f64, isize) {
- unsafe {
- let mut exp = 0;
- let x = cmath::frexp(self, &mut exp);
- (x, exp as isize)
- }
- }
-
- /// Returns the next representable floating-point value in the direction of
- /// `other`.
- ///
- /// ```
- /// #![feature(float_extras)]
- ///
- /// let x = 1.0f64;
- ///
- /// let abs_diff = (x.next_after(2.0) - 1.0000000000000002220446049250313_f64).abs();
- ///
- /// assert!(abs_diff < 1e-10);
- /// ```
- #[unstable(feature = "float_extras",
- reason = "unsure about its place in the world",
- issue = "27752")]
- #[rustc_deprecated(since = "1.11.0",
- reason = "never really came to fruition and easily \
- implementable outside the standard library")]
- #[inline]
- pub fn next_after(self, other: f64) -> f64 {
- unsafe { cmath::nextafter(self, other) }
- }
-
- /// Returns the maximum of the two numbers.
- ///
- /// ```
- /// let x = 1.0_f64;
- /// let y = 2.0_f64;
- ///
- /// assert_eq!(x.max(y), y);
- /// ```
- ///
- /// If one of the arguments is NaN, then the other argument is returned.
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn max(self, other: f64) -> f64 {
- unsafe { cmath::fmax(self, other) }
- }
-
- /// Returns the minimum of the two numbers.
- ///
- /// ```
- /// let x = 1.0_f64;
- /// let y = 2.0_f64;
- ///
- /// assert_eq!(x.min(y), x);
- /// ```
- ///
- /// If one of the arguments is NaN, then the other argument is returned.
- #[stable(feature = "rust1", since = "1.0.0")]
- #[inline]
- pub fn min(self, other: f64) -> f64 {
- unsafe { cmath::fmin(self, other) }
- }
-
- /// The positive difference of two numbers.
- ///
- /// * If `self <= other`: `0:0`
- /// * Else: `self - other`
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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`.
- ///
- /// ```
- /// 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).
- ///
- /// ```
- /// 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).
- ///
- /// ```
- /// 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).
- ///
- /// ```
- /// 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].
- ///
- /// ```
- /// 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].
- ///
- /// ```
- /// 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];
- ///
- /// ```
- /// 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`).
- ///
- /// * `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 std::f64;
- ///
- /// let pi = f64::consts::PI;
- /// // All angles from horizontal right (+x)
- /// // 45 deg counter-clockwise
- /// let x1 = 3.0_f64;
- /// let y1 = -3.0_f64;
- ///
- /// // 135 deg 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))`.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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.
- ///
- /// ```
- /// 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());
- }
-
- #[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());
- }
-
- #[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());
- }
-
- #[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]
- #[allow(deprecated)]
- fn test_integer_decode() {
- assert_eq!(3.14159265359f64.integer_decode(), (7074237752028906, -51, 1));
- assert_eq!((-8573.5918555f64).integer_decode(), (4713381968463931, -39, -1));
- assert_eq!(2f64.powf(100.0).integer_decode(), (4503599627370496, 48, 1));
- assert_eq!(0f64.integer_decode(), (0, -1075, 1));
- assert_eq!((-0f64).integer_decode(), (0, -1075, -1));
- assert_eq!(INFINITY.integer_decode(), (4503599627370496, 972, 1));
- assert_eq!(NEG_INFINITY.integer_decode(), (4503599627370496, 972, -1));
-
- // Ignore the "sign" (quiet / signalling flag) of NAN.
- // It can vary between runtime operations and LLVM folding.
- let (nan_m, nan_e, _nan_s) = NAN.integer_decode();
- assert_eq!((nan_m, nan_e), (6755399441055744, 972));
- }
-
- #[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());
- }
-
- #[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());
- }
-
- #[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]
- #[allow(deprecated)]
- fn test_ldexp() {
- let f1 = 2.0f64.powi(-123);
- let f2 = 2.0f64.powi(-111);
- let f3 = 1.75 * 2.0f64.powi(-12);
- assert_eq!(f64::ldexp(1f64, -123), f1);
- assert_eq!(f64::ldexp(1f64, -111), f2);
- assert_eq!(f64::ldexp(1.75f64, -12), f3);
-
- assert_eq!(f64::ldexp(0f64, -123), 0f64);
- assert_eq!(f64::ldexp(-0f64, -123), -0f64);
-
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let nan: f64 = NAN;
- assert_eq!(f64::ldexp(inf, -123), inf);
- assert_eq!(f64::ldexp(neg_inf, -123), neg_inf);
- assert!(f64::ldexp(nan, -123).is_nan());
- }
-
- #[test]
- #[allow(deprecated)]
- fn test_frexp() {
- let f1 = 2.0f64.powi(-123);
- let f2 = 2.0f64.powi(-111);
- let f3 = 1.75 * 2.0f64.powi(-123);
- let (x1, exp1) = f1.frexp();
- let (x2, exp2) = f2.frexp();
- let (x3, exp3) = f3.frexp();
- assert_eq!((x1, exp1), (0.5f64, -122));
- assert_eq!((x2, exp2), (0.5f64, -110));
- assert_eq!((x3, exp3), (0.875f64, -122));
- assert_eq!(f64::ldexp(x1, exp1), f1);
- assert_eq!(f64::ldexp(x2, exp2), f2);
- assert_eq!(f64::ldexp(x3, exp3), f3);
-
- assert_eq!(0f64.frexp(), (0f64, 0));
- assert_eq!((-0f64).frexp(), (-0f64, 0));
- }
-
- #[test] #[cfg_attr(windows, ignore)] // FIXME #8755
- #[allow(deprecated)]
- fn test_frexp_nowin() {
- let inf: f64 = INFINITY;
- let neg_inf: f64 = NEG_INFINITY;
- let nan: f64 = NAN;
- assert_eq!(match inf.frexp() { (x, _) => x }, inf);
- assert_eq!(match neg_inf.frexp() { (x, _) => x }, neg_inf);
- assert!(match nan.frexp() { (x, _) => x.is_nan() })
- }
-
- #[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());
- }
-}
+++ /dev/null
-// Copyright 2012-2014 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.
-
-//! Additional functionality for numerics.
-//!
-//! This module provides some extra types that are useful when doing numerical
-//! work. See the individual documentation for each piece for more information.
-
-#![stable(feature = "rust1", since = "1.0.0")]
-#![allow(missing_docs)]
-
-#[stable(feature = "rust1", since = "1.0.0")]
-#[allow(deprecated)]
-pub use core::num::{Zero, One};
-#[stable(feature = "rust1", since = "1.0.0")]
-pub use core::num::{FpCategory, ParseIntError, ParseFloatError, TryFromIntError};
-#[stable(feature = "rust1", since = "1.0.0")]
-pub use core::num::Wrapping;
-
-#[cfg(test)] use fmt;
-#[cfg(test)] use ops::{Add, Sub, Mul, Div, Rem};
-
-/// Helper function for testing numeric operations
-#[cfg(test)]
-pub fn test_num<T>(ten: T, two: T) where
- T: PartialEq
- + Add<Output=T> + Sub<Output=T>
- + Mul<Output=T> + Div<Output=T>
- + Rem<Output=T> + fmt::Debug
- + Copy
-{
- assert_eq!(ten.add(two), ten + two);
- assert_eq!(ten.sub(two), ten - two);
- assert_eq!(ten.mul(two), ten * two);
- assert_eq!(ten.div(two), ten / two);
- assert_eq!(ten.rem(two), ten % two);
-}
-
-#[cfg(test)]
-mod tests {
- use u8;
- use u16;
- use u32;
- use u64;
- use usize;
- use ops::Mul;
-
- #[test]
- fn test_saturating_add_uint() {
- use usize::MAX;
- assert_eq!(3_usize.saturating_add(5_usize), 8_usize);
- assert_eq!(3_usize.saturating_add(MAX-1), MAX);
- assert_eq!(MAX.saturating_add(MAX), MAX);
- assert_eq!((MAX-2).saturating_add(1), MAX-1);
- }
-
- #[test]
- fn test_saturating_sub_uint() {
- use usize::MAX;
- assert_eq!(5_usize.saturating_sub(3_usize), 2_usize);
- assert_eq!(3_usize.saturating_sub(5_usize), 0_usize);
- assert_eq!(0_usize.saturating_sub(1_usize), 0_usize);
- assert_eq!((MAX-1).saturating_sub(MAX), 0);
- }
-
- #[test]
- fn test_saturating_add_int() {
- use isize::{MIN,MAX};
- assert_eq!(3i32.saturating_add(5), 8);
- assert_eq!(3isize.saturating_add(MAX-1), MAX);
- assert_eq!(MAX.saturating_add(MAX), MAX);
- assert_eq!((MAX-2).saturating_add(1), MAX-1);
- assert_eq!(3i32.saturating_add(-5), -2);
- assert_eq!(MIN.saturating_add(-1), MIN);
- assert_eq!((-2isize).saturating_add(-MAX), MIN);
- }
-
- #[test]
- fn test_saturating_sub_int() {
- use isize::{MIN,MAX};
- assert_eq!(3i32.saturating_sub(5), -2);
- assert_eq!(MIN.saturating_sub(1), MIN);
- assert_eq!((-2isize).saturating_sub(MAX), MIN);
- assert_eq!(3i32.saturating_sub(-5), 8);
- assert_eq!(3isize.saturating_sub(-(MAX-1)), MAX);
- assert_eq!(MAX.saturating_sub(-MAX), MAX);
- assert_eq!((MAX-2).saturating_sub(-1), MAX-1);
- }
-
- #[test]
- fn test_checked_add() {
- let five_less = usize::MAX - 5;
- assert_eq!(five_less.checked_add(0), Some(usize::MAX - 5));
- assert_eq!(five_less.checked_add(1), Some(usize::MAX - 4));
- assert_eq!(five_less.checked_add(2), Some(usize::MAX - 3));
- assert_eq!(five_less.checked_add(3), Some(usize::MAX - 2));
- assert_eq!(five_less.checked_add(4), Some(usize::MAX - 1));
- assert_eq!(five_less.checked_add(5), Some(usize::MAX));
- assert_eq!(five_less.checked_add(6), None);
- assert_eq!(five_less.checked_add(7), None);
- }
-
- #[test]
- fn test_checked_sub() {
- assert_eq!(5_usize.checked_sub(0), Some(5));
- assert_eq!(5_usize.checked_sub(1), Some(4));
- assert_eq!(5_usize.checked_sub(2), Some(3));
- assert_eq!(5_usize.checked_sub(3), Some(2));
- assert_eq!(5_usize.checked_sub(4), Some(1));
- assert_eq!(5_usize.checked_sub(5), Some(0));
- assert_eq!(5_usize.checked_sub(6), None);
- assert_eq!(5_usize.checked_sub(7), None);
- }
-
- #[test]
- fn test_checked_mul() {
- let third = usize::MAX / 3;
- assert_eq!(third.checked_mul(0), Some(0));
- assert_eq!(third.checked_mul(1), Some(third));
- assert_eq!(third.checked_mul(2), Some(third * 2));
- assert_eq!(third.checked_mul(3), Some(third * 3));
- assert_eq!(third.checked_mul(4), None);
- }
-
- macro_rules! test_is_power_of_two {
- ($test_name:ident, $T:ident) => (
- fn $test_name() {
- #![test]
- assert_eq!((0 as $T).is_power_of_two(), false);
- assert_eq!((1 as $T).is_power_of_two(), true);
- assert_eq!((2 as $T).is_power_of_two(), true);
- assert_eq!((3 as $T).is_power_of_two(), false);
- assert_eq!((4 as $T).is_power_of_two(), true);
- assert_eq!((5 as $T).is_power_of_two(), false);
- assert_eq!(($T::MAX / 2 + 1).is_power_of_two(), true);
- }
- )
- }
-
- test_is_power_of_two!{ test_is_power_of_two_u8, u8 }
- test_is_power_of_two!{ test_is_power_of_two_u16, u16 }
- test_is_power_of_two!{ test_is_power_of_two_u32, u32 }
- test_is_power_of_two!{ test_is_power_of_two_u64, u64 }
- test_is_power_of_two!{ test_is_power_of_two_uint, usize }
-
- macro_rules! test_next_power_of_two {
- ($test_name:ident, $T:ident) => (
- fn $test_name() {
- #![test]
- assert_eq!((0 as $T).next_power_of_two(), 1);
- let mut next_power = 1;
- for i in 1 as $T..40 {
- assert_eq!(i.next_power_of_two(), next_power);
- if i == next_power { next_power *= 2 }
- }
- }
- )
- }
-
- test_next_power_of_two! { test_next_power_of_two_u8, u8 }
- test_next_power_of_two! { test_next_power_of_two_u16, u16 }
- test_next_power_of_two! { test_next_power_of_two_u32, u32 }
- test_next_power_of_two! { test_next_power_of_two_u64, u64 }
- test_next_power_of_two! { test_next_power_of_two_uint, usize }
-
- macro_rules! test_checked_next_power_of_two {
- ($test_name:ident, $T:ident) => (
- fn $test_name() {
- #![test]
- assert_eq!((0 as $T).checked_next_power_of_two(), Some(1));
- assert!(($T::MAX / 2).checked_next_power_of_two().is_some());
- assert_eq!(($T::MAX - 1).checked_next_power_of_two(), None);
- assert_eq!($T::MAX.checked_next_power_of_two(), None);
- let mut next_power = 1;
- for i in 1 as $T..40 {
- assert_eq!(i.checked_next_power_of_two(), Some(next_power));
- if i == next_power { next_power *= 2 }
- }
- }
- )
- }
-
- test_checked_next_power_of_two! { test_checked_next_power_of_two_u8, u8 }
- test_checked_next_power_of_two! { test_checked_next_power_of_two_u16, u16 }
- test_checked_next_power_of_two! { test_checked_next_power_of_two_u32, u32 }
- test_checked_next_power_of_two! { test_checked_next_power_of_two_u64, u64 }
- test_checked_next_power_of_two! { test_checked_next_power_of_two_uint, usize }
-
- #[test]
- fn test_pow() {
- fn naive_pow<T: Mul<Output=T> + Copy>(one: T, base: T, exp: usize) -> T {
- (0..exp).fold(one, |acc, _| acc * base)
- }
- macro_rules! assert_pow {
- (($num:expr, $exp:expr) => $expected:expr) => {{
- let result = $num.pow($exp);
- assert_eq!(result, $expected);
- assert_eq!(result, naive_pow(1, $num, $exp));
- }}
- }
- assert_pow!((3u32, 0 ) => 1);
- assert_pow!((5u32, 1 ) => 5);
- assert_pow!((-4i32, 2 ) => 16);
- assert_pow!((8u32, 3 ) => 512);
- assert_pow!((2u64, 50) => 1125899906842624);
- }
-
- #[test]
- fn test_uint_to_str_overflow() {
- let mut u8_val: u8 = 255;
- assert_eq!(u8_val.to_string(), "255");
-
- u8_val = u8_val.wrapping_add(1);
- assert_eq!(u8_val.to_string(), "0");
-
- let mut u16_val: u16 = 65_535;
- assert_eq!(u16_val.to_string(), "65535");
-
- u16_val = u16_val.wrapping_add(1);
- assert_eq!(u16_val.to_string(), "0");
-
- let mut u32_val: u32 = 4_294_967_295;
- assert_eq!(u32_val.to_string(), "4294967295");
-
- u32_val = u32_val.wrapping_add(1);
- assert_eq!(u32_val.to_string(), "0");
-
- let mut u64_val: u64 = 18_446_744_073_709_551_615;
- assert_eq!(u64_val.to_string(), "18446744073709551615");
-
- u64_val = u64_val.wrapping_add(1);
- assert_eq!(u64_val.to_string(), "0");
- }
-
- fn from_str<T: ::str::FromStr>(t: &str) -> Option<T> {
- ::str::FromStr::from_str(t).ok()
- }
-
- #[test]
- fn test_uint_from_str_overflow() {
- let mut u8_val: u8 = 255;
- assert_eq!(from_str::<u8>("255"), Some(u8_val));
- assert_eq!(from_str::<u8>("256"), None);
-
- u8_val = u8_val.wrapping_add(1);
- assert_eq!(from_str::<u8>("0"), Some(u8_val));
- assert_eq!(from_str::<u8>("-1"), None);
-
- let mut u16_val: u16 = 65_535;
- assert_eq!(from_str::<u16>("65535"), Some(u16_val));
- assert_eq!(from_str::<u16>("65536"), None);
-
- u16_val = u16_val.wrapping_add(1);
- assert_eq!(from_str::<u16>("0"), Some(u16_val));
- assert_eq!(from_str::<u16>("-1"), None);
-
- let mut u32_val: u32 = 4_294_967_295;
- assert_eq!(from_str::<u32>("4294967295"), Some(u32_val));
- assert_eq!(from_str::<u32>("4294967296"), None);
-
- u32_val = u32_val.wrapping_add(1);
- assert_eq!(from_str::<u32>("0"), Some(u32_val));
- assert_eq!(from_str::<u32>("-1"), None);
-
- let mut u64_val: u64 = 18_446_744_073_709_551_615;
- assert_eq!(from_str::<u64>("18446744073709551615"), Some(u64_val));
- assert_eq!(from_str::<u64>("18446744073709551616"), None);
-
- u64_val = u64_val.wrapping_add(1);
- assert_eq!(from_str::<u64>("0"), Some(u64_val));
- assert_eq!(from_str::<u64>("-1"), None);
- }
-}
-
-
-#[cfg(test)]
-mod bench {
- extern crate test;
- use self::test::Bencher;
-
- #[bench]
- fn bench_pow_function(b: &mut Bencher) {
- let v = (0..1024).collect::<Vec<u32>>();
- b.iter(|| {v.iter().fold(0u32, |old, new| old.pow(*new as u32));});
- }
-}
// temporary exceptions
"src/libstd/rtdeps.rs", // Until rustbuild replaces make
"src/libstd/path.rs",
- "src/libstd/num/f32.rs",
- "src/libstd/num/f64.rs",
+ "src/libstd/f32.rs",
+ "src/libstd/f64.rs",
"src/libstd/sys_common/mod.rs",
"src/libstd/sys_common/net.rs",
"src/libterm", // Not sure how to make this crate portable, but test needs it
projects / rust.git / commitdiff