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| author | pravic <[email protected]> | 2016-04-12 17:47:49 +0300 |
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| committer | pravic <[email protected]> | 2016-04-12 17:47:49 +0300 |
| commit | 91d227b219446d3a8b13f5bf7eb87bfc78a8b339 (patch) | |
| tree | 0e438aefd2b3cf07354a68595d5aa4ed73f81f15 /libcore/num/f64.rs | |
| parent | add native import libraries (diff) | |
| download | kmd-env-rs-91d227b219446d3a8b13f5bf7eb87bfc78a8b339.tar.xz kmd-env-rs-91d227b219446d3a8b13f5bf7eb87bfc78a8b339.zip | |
add libcore from 2016-04-11 nightly
Diffstat (limited to 'libcore/num/f64.rs')
| -rw-r--r-- | libcore/num/f64.rs | 272 |
1 files changed, 272 insertions, 0 deletions
diff --git a/libcore/num/f64.rs b/libcore/num/f64.rs new file mode 100644 index 0000000..beeee80 --- /dev/null +++ b/libcore/num/f64.rs @@ -0,0 +1,272 @@ +// 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. + +//! Operations and constants for 64-bits floats (`f64` type) + +// FIXME: MIN_VALUE and MAX_VALUE literals are parsed as -inf and inf #14353 +#![allow(overflowing_literals)] + +#![stable(feature = "rust1", since = "1.0.0")] + +use intrinsics; +use mem; +use num::FpCategory as Fp; +use num::Float; + +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const RADIX: u32 = 2; + +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const MANTISSA_DIGITS: u32 = 53; +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const DIGITS: u32 = 15; + +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const EPSILON: f64 = 2.2204460492503131e-16_f64; + +/// Smallest finite f64 value +#[stable(feature = "rust1", since = "1.0.0")] +pub const MIN: f64 = -1.7976931348623157e+308_f64; +/// Smallest positive, normalized f64 value +#[stable(feature = "rust1", since = "1.0.0")] +pub const MIN_POSITIVE: f64 = 2.2250738585072014e-308_f64; +/// Largest finite f64 value +#[stable(feature = "rust1", since = "1.0.0")] +pub const MAX: f64 = 1.7976931348623157e+308_f64; + +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const MIN_EXP: i32 = -1021; +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const MAX_EXP: i32 = 1024; + +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const MIN_10_EXP: i32 = -307; +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const MAX_10_EXP: i32 = 308; + +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const NAN: f64 = 0.0_f64/0.0_f64; +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const INFINITY: f64 = 1.0_f64/0.0_f64; +#[stable(feature = "rust1", since = "1.0.0")] +#[allow(missing_docs)] +pub const NEG_INFINITY: f64 = -1.0_f64/0.0_f64; + +/// Basic mathematical constants. +#[stable(feature = "rust1", since = "1.0.0")] +pub mod consts { + // FIXME: replace with mathematical constants from cmath. + + /// Archimedes' constant + #[stable(feature = "rust1", since = "1.0.0")] + pub const PI: f64 = 3.14159265358979323846264338327950288_f64; + + /// pi/2.0 + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_PI_2: f64 = 1.57079632679489661923132169163975144_f64; + + /// pi/3.0 + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_PI_3: f64 = 1.04719755119659774615421446109316763_f64; + + /// pi/4.0 + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_PI_4: f64 = 0.785398163397448309615660845819875721_f64; + + /// pi/6.0 + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_PI_6: f64 = 0.52359877559829887307710723054658381_f64; + + /// pi/8.0 + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_PI_8: f64 = 0.39269908169872415480783042290993786_f64; + + /// 1.0/pi + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_1_PI: f64 = 0.318309886183790671537767526745028724_f64; + + /// 2.0/pi + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_2_PI: f64 = 0.636619772367581343075535053490057448_f64; + + /// 2.0/sqrt(pi) + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_2_SQRT_PI: f64 = 1.12837916709551257389615890312154517_f64; + + /// sqrt(2.0) + #[stable(feature = "rust1", since = "1.0.0")] + pub const SQRT_2: f64 = 1.41421356237309504880168872420969808_f64; + + /// 1.0/sqrt(2.0) + #[stable(feature = "rust1", since = "1.0.0")] + pub const FRAC_1_SQRT_2: f64 = 0.707106781186547524400844362104849039_f64; + + /// Euler's number + #[stable(feature = "rust1", since = "1.0.0")] + pub const E: f64 = 2.71828182845904523536028747135266250_f64; + + /// log2(e) + #[stable(feature = "rust1", since = "1.0.0")] + pub const LOG2_E: f64 = 1.44269504088896340735992468100189214_f64; + + /// log10(e) + #[stable(feature = "rust1", since = "1.0.0")] + pub const LOG10_E: f64 = 0.434294481903251827651128918916605082_f64; + + /// ln(2.0) + #[stable(feature = "rust1", since = "1.0.0")] + pub const LN_2: f64 = 0.693147180559945309417232121458176568_f64; + + /// ln(10.0) + #[stable(feature = "rust1", since = "1.0.0")] + pub const LN_10: f64 = 2.30258509299404568401799145468436421_f64; +} + +#[unstable(feature = "core_float", + reason = "stable interface is via `impl f{32,64}` in later crates", + issue = "32110")] +impl Float for f64 { + #[inline] + fn nan() -> f64 { NAN } + + #[inline] + fn infinity() -> f64 { INFINITY } + + #[inline] + fn neg_infinity() -> f64 { NEG_INFINITY } + + #[inline] + fn zero() -> f64 { 0.0 } + + #[inline] + fn neg_zero() -> f64 { -0.0 } + + #[inline] + fn one() -> f64 { 1.0 } + + /// Returns `true` if the number is NaN. + #[inline] + fn is_nan(self) -> bool { self != self } + + /// Returns `true` if the number is infinite. + #[inline] + fn is_infinite(self) -> bool { + self == Float::infinity() || self == Float::neg_infinity() + } + + /// Returns `true` if the number is neither infinite or NaN. + #[inline] + fn is_finite(self) -> bool { + !(self.is_nan() || self.is_infinite()) + } + + /// Returns `true` if the number is neither zero, infinite, subnormal or NaN. + #[inline] + fn is_normal(self) -> bool { + self.classify() == Fp::Normal + } + + /// 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. + fn classify(self) -> Fp { + const EXP_MASK: u64 = 0x7ff0000000000000; + const MAN_MASK: u64 = 0x000fffffffffffff; + + let bits: u64 = unsafe { mem::transmute(self) }; + match (bits & MAN_MASK, bits & EXP_MASK) { + (0, 0) => Fp::Zero, + (_, 0) => Fp::Subnormal, + (0, EXP_MASK) => Fp::Infinite, + (_, EXP_MASK) => Fp::Nan, + _ => Fp::Normal, + } + } + + /// Returns the mantissa, exponent and sign as integers. + fn integer_decode(self) -> (u64, i16, i8) { + let bits: u64 = unsafe { mem::transmute(self) }; + let sign: i8 = if bits >> 63 == 0 { 1 } else { -1 }; + let mut exponent: i16 = ((bits >> 52) & 0x7ff) as i16; + let mantissa = if exponent == 0 { + (bits & 0xfffffffffffff) << 1 + } else { + (bits & 0xfffffffffffff) | 0x10000000000000 + }; + // Exponent bias + mantissa shift + exponent -= 1023 + 52; + (mantissa, exponent, sign) + } + + /// Computes the absolute value of `self`. Returns `Float::nan()` if the + /// number is `Float::nan()`. + #[inline] + fn abs(self) -> f64 { + unsafe { intrinsics::fabsf64(self) } + } + + /// Returns a number that represents the sign of `self`. + /// + /// - `1.0` if the number is positive, `+0.0` or `Float::infinity()` + /// - `-1.0` if the number is negative, `-0.0` or `Float::neg_infinity()` + /// - `Float::nan()` if the number is `Float::nan()` + #[inline] + fn signum(self) -> f64 { + if self.is_nan() { + Float::nan() + } else { + unsafe { intrinsics::copysignf64(1.0, self) } + } + } + + /// Returns `true` if `self` is positive, including `+0.0` and + /// `Float::infinity()`. + #[inline] + fn is_sign_positive(self) -> bool { + self > 0.0 || (1.0 / self) == Float::infinity() + } + + /// Returns `true` if `self` is negative, including `-0.0` and + /// `Float::neg_infinity()`. + #[inline] + fn is_sign_negative(self) -> bool { + self < 0.0 || (1.0 / self) == Float::neg_infinity() + } + + /// Returns the reciprocal (multiplicative inverse) of the number. + #[inline] + fn recip(self) -> f64 { 1.0 / self } + + #[inline] + fn powi(self, n: i32) -> f64 { + unsafe { intrinsics::powif64(self, n) } + } + + /// Converts to degrees, assuming the number is in radians. + #[inline] + fn to_degrees(self) -> f64 { self * (180.0f64 / consts::PI) } + + /// Converts to radians, assuming the number is in degrees. + #[inline] + fn to_radians(self) -> f64 { + let value: f64 = consts::PI; + self * (value / 180.0) + } +} |