diff options
| author | Fenrir <[email protected]> | 2018-01-21 14:06:28 -0700 |
|---|---|---|
| committer | FenrirWolf <[email protected]> | 2018-01-21 19:16:33 -0700 |
| commit | 23be3f4885688e5e0011005e2295c75168854c0a (patch) | |
| tree | dd0850f9c73c489e114a761d5c0757f3dbec3a65 /ctr-std/src/f64.rs | |
| parent | Update CI for Rust nightly-2017-12-01 + other fixes (diff) | |
| download | archived-ctru-rs-23be3f4885688e5e0011005e2295c75168854c0a.tar.xz archived-ctru-rs-23be3f4885688e5e0011005e2295c75168854c0a.zip | |
Recreate ctr-std from latest nightly
Diffstat (limited to 'ctr-std/src/f64.rs')
| -rw-r--r-- | ctr-std/src/f64.rs | 347 |
1 files changed, 118 insertions, 229 deletions
diff --git a/ctr-std/src/f64.rs b/ctr-std/src/f64.rs index 55b85cd..e4eea74 100644 --- a/ctr-std/src/f64.rs +++ b/ctr-std/src/f64.rs @@ -8,9 +8,12 @@ // option. This file may not be copied, modified, or distributed // except according to those terms. -//! The 64-bit floating point type. +//! This module provides constants which are specific to the implementation +//! of the `f64` floating point data type. //! -//! *[See also the `f64` primitive type](../primitive.f64.html).* +//! Mathematically significant numbers are provided in the `consts` sub-module. +//! +//! *[See also the `f64` primitive type](../../std/primitive.f64.html).* #![stable(feature = "rust1", since = "1.0.0")] #![allow(missing_docs)] @@ -20,9 +23,9 @@ use core::num; #[cfg(not(test))] use intrinsics; #[cfg(not(test))] -use libc::c_int; -#[cfg(not(test))] use num::FpCategory; +#[cfg(not(test))] +use sys::cmath; #[stable(feature = "rust1", since = "1.0.0")] pub use core::f64::{RADIX, MANTISSA_DIGITS, DIGITS, EPSILON}; @@ -35,55 +38,6 @@ 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 { @@ -303,21 +257,15 @@ impl f64 { #[inline] pub fn signum(self) -> f64 { num::Float::signum(self) } - /// Returns `true` if `self`'s sign bit is positive, including - /// `+0.0` and `INFINITY`. + /// Returns `true` if and only if `self` has a positive sign, including `+0.0`, `NaN`s with + /// positive sign bit and positive 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] @@ -328,21 +276,15 @@ impl f64 { #[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`. + /// Returns `true` if and only if `self` has a negative sign, including `-0.0`, `NaN`s with + /// negative sign bit and negative 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] @@ -490,18 +432,17 @@ impl f64 { /// Returns the logarithm of the number with respect to an arbitrary base. /// - /// ``` - /// let ten = 10.0_f64; - /// let two = 2.0_f64; + /// The result may not be correctly rounded owing to implementation details; + /// `self.log2()` can produce more accurate results for base 2, and + /// `self.log10()` can produce more accurate results for base 10. /// - /// // log10(10) - 1 == 0 - /// let abs_difference_10 = (ten.log(10.0) - 1.0).abs(); + /// ``` + /// let five = 5.0_f64; /// - /// // log2(2) - 1 == 0 - /// let abs_difference_2 = (two.log(2.0) - 1.0).abs(); + /// // log5(5) - 1 == 0 + /// let abs_difference = (five.log(5.0) - 1.0).abs(); /// - /// assert!(abs_difference_10 < 1e-10); - /// assert!(abs_difference_2 < 1e-10); + /// assert!(abs_difference < 1e-10); /// ``` #[stable(feature = "rust1", since = "1.0.0")] #[inline] @@ -574,84 +515,6 @@ impl f64 { #[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. /// /// ``` @@ -665,7 +528,7 @@ impl f64 { #[stable(feature = "rust1", since = "1.0.0")] #[inline] pub fn max(self, other: f64) -> f64 { - unsafe { cmath::fmax(self, other) } + num::Float::max(self, other) } /// Returns the minimum of the two numbers. @@ -681,7 +544,7 @@ impl f64 { #[stable(feature = "rust1", since = "1.0.0")] #[inline] pub fn min(self, other: f64) -> f64 { - unsafe { cmath::fmin(self, other) } + num::Float::min(self, other) } /// The positive difference of two numbers. @@ -1086,6 +949,74 @@ impl f64 { } } } + + /// Raw transmutation to `u64`. + /// + /// This is currently identical to `transmute::<f64, u64>(self)` on all platforms. + /// + /// See `from_bits` for some discussion of the portability of this operation + /// (there are almost no issues). + /// + /// Note that this function is distinct from `as` casting, which attempts to + /// preserve the *numeric* value, and not the bitwise value. + /// + /// # Examples + /// + /// ``` + /// assert!((1f64).to_bits() != 1f64 as u64); // to_bits() is not casting! + /// assert_eq!((12.5f64).to_bits(), 0x4029000000000000); + /// + /// ``` + #[stable(feature = "float_bits_conv", since = "1.20.0")] + #[inline] + pub fn to_bits(self) -> u64 { + unsafe { ::mem::transmute(self) } + } + + /// Raw transmutation from `u64`. + /// + /// This is currently identical to `transmute::<u64, f64>(v)` on all platforms. + /// It turns out this is incredibly portable, for two reasons: + /// + /// * Floats and Ints have the same endianess on all supported platforms. + /// * IEEE-754 very precisely specifies the bit layout of floats. + /// + /// However there is one caveat: prior to the 2008 version of IEEE-754, how + /// to interpret the NaN signaling bit wasn't actually specified. Most platforms + /// (notably x86 and ARM) picked the interpretation that was ultimately + /// standardized in 2008, but some didn't (notably MIPS). As a result, all + /// signaling NaNs on MIPS are quiet NaNs on x86, and vice-versa. + /// + /// Rather than trying to preserve signaling-ness cross-platform, this + /// implementation favours preserving the exact bits. This means that + /// any payloads encoded in NaNs will be preserved even if the result of + /// this method is sent over the network from an x86 machine to a MIPS one. + /// + /// If the results of this method are only manipulated by the same + /// architecture that produced them, then there is no portability concern. + /// + /// If the input isn't NaN, then there is no portability concern. + /// + /// If you don't care about signalingness (very likely), then there is no + /// portability concern. + /// + /// Note that this function is distinct from `as` casting, which attempts to + /// preserve the *numeric* value, and not the bitwise value. + /// + /// # Examples + /// + /// ``` + /// use std::f64; + /// let v = f64::from_bits(0x4029000000000000); + /// let difference = (v - 12.5).abs(); + /// assert!(difference <= 1e-5); + /// ``` + #[stable(feature = "float_bits_conv", since = "1.20.0")] + #[inline] + pub fn from_bits(v: u64) -> Self { + // It turns out the safety issues with sNaN were overblown! Hooray! + unsafe { ::mem::transmute(v) } + } } #[cfg(test)] @@ -1119,7 +1050,7 @@ mod tests { assert!(!nan.is_infinite()); assert!(!nan.is_finite()); assert!(!nan.is_normal()); - assert!(!nan.is_sign_positive()); + assert!(nan.is_sign_positive()); assert!(!nan.is_sign_negative()); assert_eq!(Fp::Nan, nan.classify()); } @@ -1174,6 +1105,7 @@ mod tests { assert_eq!(Fp::Zero, neg_zero.classify()); } + #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630 #[test] fn test_one() { let one: f64 = 1.0f64; @@ -1226,6 +1158,7 @@ mod tests { assert!((-109.2f64).is_finite()); } + #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630 #[test] fn test_is_normal() { let nan: f64 = NAN; @@ -1243,6 +1176,7 @@ mod tests { assert!(!1e-308f64.is_normal()); } + #[cfg_attr(all(target_arch = "wasm32", target_os = "emscripten"), ignore)] // issue 42630 #[test] fn test_classify() { let nan: f64 = NAN; @@ -1260,23 +1194,6 @@ mod tests { } #[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); @@ -1379,7 +1296,8 @@ mod tests { assert!(!(-1f64).is_sign_positive()); assert!(!NEG_INFINITY.is_sign_positive()); assert!(!(1f64/NEG_INFINITY).is_sign_positive()); - assert!(!NAN.is_sign_positive()); + assert!(NAN.is_sign_positive()); + assert!(!(-NAN).is_sign_positive()); } #[test] @@ -1392,6 +1310,7 @@ mod tests { assert!(NEG_INFINITY.is_sign_negative()); assert!((1f64/NEG_INFINITY).is_sign_negative()); assert!(!NAN.is_sign_negative()); + assert!((-NAN).is_sign_negative()); } #[test] @@ -1588,58 +1507,6 @@ mod tests { } #[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); @@ -1723,4 +1590,26 @@ mod tests { assert_approx_eq!(ln_2, 2f64.ln()); assert_approx_eq!(ln_10, 10f64.ln()); } + + #[test] + fn test_float_bits_conv() { + assert_eq!((1f64).to_bits(), 0x3ff0000000000000); + assert_eq!((12.5f64).to_bits(), 0x4029000000000000); + assert_eq!((1337f64).to_bits(), 0x4094e40000000000); + assert_eq!((-14.25f64).to_bits(), 0xc02c800000000000); + assert_approx_eq!(f64::from_bits(0x3ff0000000000000), 1.0); + assert_approx_eq!(f64::from_bits(0x4029000000000000), 12.5); + assert_approx_eq!(f64::from_bits(0x4094e40000000000), 1337.0); + assert_approx_eq!(f64::from_bits(0xc02c800000000000), -14.25); + + // Check that NaNs roundtrip their bits regardless of signalingness + // 0xA is 0b1010; 0x5 is 0b0101 -- so these two together clobbers all the mantissa bits + let masked_nan1 = f64::NAN.to_bits() ^ 0x000A_AAAA_AAAA_AAAA; + let masked_nan2 = f64::NAN.to_bits() ^ 0x0005_5555_5555_5555; + assert!(f64::from_bits(masked_nan1).is_nan()); + assert!(f64::from_bits(masked_nan2).is_nan()); + + assert_eq!(f64::from_bits(masked_nan1).to_bits(), masked_nan1); + assert_eq!(f64::from_bits(masked_nan2).to_bits(), masked_nan2); + } } |