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authorpravic <[email protected]>2016-04-12 17:47:49 +0300
committerpravic <[email protected]>2016-04-12 17:47:49 +0300
commit91d227b219446d3a8b13f5bf7eb87bfc78a8b339 (patch)
tree0e438aefd2b3cf07354a68595d5aa4ed73f81f15 /libcore/num/f32.rs
parentadd native import libraries (diff)
downloadkmd-env-rs-91d227b219446d3a8b13f5bf7eb87bfc78a8b339.tar.xz
kmd-env-rs-91d227b219446d3a8b13f5bf7eb87bfc78a8b339.zip
add libcore from 2016-04-11 nightly
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+// 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 32-bits floats (`f32` 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::Float;
+use num::FpCategory as Fp;
+
+#[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 = 24;
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const DIGITS: u32 = 6;
+
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const EPSILON: f32 = 1.19209290e-07_f32;
+
+/// Smallest finite f32 value
+#[stable(feature = "rust1", since = "1.0.0")]
+pub const MIN: f32 = -3.40282347e+38_f32;
+/// Smallest positive, normalized f32 value
+#[stable(feature = "rust1", since = "1.0.0")]
+pub const MIN_POSITIVE: f32 = 1.17549435e-38_f32;
+/// Largest finite f32 value
+#[stable(feature = "rust1", since = "1.0.0")]
+pub const MAX: f32 = 3.40282347e+38_f32;
+
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const MIN_EXP: i32 = -125;
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const MAX_EXP: i32 = 128;
+
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const MIN_10_EXP: i32 = -37;
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const MAX_10_EXP: i32 = 38;
+
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const NAN: f32 = 0.0_f32/0.0_f32;
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const INFINITY: f32 = 1.0_f32/0.0_f32;
+#[stable(feature = "rust1", since = "1.0.0")]
+#[allow(missing_docs)]
+pub const NEG_INFINITY: f32 = -1.0_f32/0.0_f32;
+
+/// 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: f32 = 3.14159265358979323846264338327950288_f32;
+
+ /// pi/2.0
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_PI_2: f32 = 1.57079632679489661923132169163975144_f32;
+
+ /// pi/3.0
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_PI_3: f32 = 1.04719755119659774615421446109316763_f32;
+
+ /// pi/4.0
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_PI_4: f32 = 0.785398163397448309615660845819875721_f32;
+
+ /// pi/6.0
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_PI_6: f32 = 0.52359877559829887307710723054658381_f32;
+
+ /// pi/8.0
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_PI_8: f32 = 0.39269908169872415480783042290993786_f32;
+
+ /// 1.0/pi
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_1_PI: f32 = 0.318309886183790671537767526745028724_f32;
+
+ /// 2.0/pi
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_2_PI: f32 = 0.636619772367581343075535053490057448_f32;
+
+ /// 2.0/sqrt(pi)
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_2_SQRT_PI: f32 = 1.12837916709551257389615890312154517_f32;
+
+ /// sqrt(2.0)
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const SQRT_2: f32 = 1.41421356237309504880168872420969808_f32;
+
+ /// 1.0/sqrt(2.0)
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const FRAC_1_SQRT_2: f32 = 0.707106781186547524400844362104849039_f32;
+
+ /// Euler's number
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const E: f32 = 2.71828182845904523536028747135266250_f32;
+
+ /// log2(e)
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const LOG2_E: f32 = 1.44269504088896340735992468100189214_f32;
+
+ /// log10(e)
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const LOG10_E: f32 = 0.434294481903251827651128918916605082_f32;
+
+ /// ln(2.0)
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const LN_2: f32 = 0.693147180559945309417232121458176568_f32;
+
+ /// ln(10.0)
+ #[stable(feature = "rust1", since = "1.0.0")]
+ pub const LN_10: f32 = 2.30258509299404568401799145468436421_f32;
+}
+
+#[unstable(feature = "core_float",
+ reason = "stable interface is via `impl f{32,64}` in later crates",
+ issue = "32110")]
+impl Float for f32 {
+ #[inline]
+ fn nan() -> f32 { NAN }
+
+ #[inline]
+ fn infinity() -> f32 { INFINITY }
+
+ #[inline]
+ fn neg_infinity() -> f32 { NEG_INFINITY }
+
+ #[inline]
+ fn zero() -> f32 { 0.0 }
+
+ #[inline]
+ fn neg_zero() -> f32 { -0.0 }
+
+ #[inline]
+ fn one() -> f32 { 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: u32 = 0x7f800000;
+ const MAN_MASK: u32 = 0x007fffff;
+
+ let bits: u32 = 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: u32 = unsafe { mem::transmute(self) };
+ let sign: i8 = if bits >> 31 == 0 { 1 } else { -1 };
+ let mut exponent: i16 = ((bits >> 23) & 0xff) as i16;
+ let mantissa = if exponent == 0 {
+ (bits & 0x7fffff) << 1
+ } else {
+ (bits & 0x7fffff) | 0x800000
+ };
+ // Exponent bias + mantissa shift
+ exponent -= 127 + 23;
+ (mantissa as u64, exponent, sign)
+ }
+
+ /// Computes the absolute value of `self`. Returns `Float::nan()` if the
+ /// number is `Float::nan()`.
+ #[inline]
+ fn abs(self) -> f32 {
+ unsafe { intrinsics::fabsf32(self) }
+ }
+
+ /// Returns a number that represents the sign of `self`.
+ ///
+ /// - `1.0` if the number is positive, `+0.0` or `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) -> f32 {
+ if self.is_nan() {
+ Float::nan()
+ } else {
+ unsafe { intrinsics::copysignf32(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) -> f32 { 1.0 / self }
+
+ #[inline]
+ fn powi(self, n: i32) -> f32 {
+ unsafe { intrinsics::powif32(self, n) }
+ }
+
+ /// Converts to degrees, assuming the number is in radians.
+ #[inline]
+ fn to_degrees(self) -> f32 { self * (180.0f32 / consts::PI) }
+
+ /// Converts to radians, assuming the number is in degrees.
+ #[inline]
+ fn to_radians(self) -> f32 {
+ let value: f32 = consts::PI;
+ self * (value / 180.0f32)
+ }
+}