Auto merge of #46931 - clarcharr:float_bits_core, r=alexcrichton
Expose float from_bits and to_bits in libcore. These methods have no dependencies on libm and thus should be offered in libcore.
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commit
a538fe7ce7
@ -27,11 +27,10 @@
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//! Many functions in this module only handle normal numbers. The dec2flt routines conservatively
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//! take the universally-correct slow path (Algorithm M) for very small and very large numbers.
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//! That algorithm needs only next_float() which does handle subnormals and zeros.
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use u32;
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use cmp::Ordering::{Less, Equal, Greater};
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use ops::{Mul, Div, Neg};
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use convert::{TryFrom, TryInto};
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use ops::{Add, Mul, Div, Neg};
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use fmt::{Debug, LowerExp};
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use mem::transmute;
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use num::diy_float::Fp;
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use num::FpCategory::{Infinite, Zero, Subnormal, Normal, Nan};
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use num::Float;
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@ -56,22 +55,27 @@ pub fn new(sig: u64, k: i16) -> Self {
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///
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/// Should **never ever** be implemented for other types or be used outside the dec2flt module.
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/// Inherits from `Float` because there is some overlap, but all the reused methods are trivial.
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pub trait RawFloat : Float + Copy + Debug + LowerExp
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+ Mul<Output=Self> + Div<Output=Self> + Neg<Output=Self>
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pub trait RawFloat
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: Float
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+ Copy
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+ Debug
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+ LowerExp
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+ Mul<Output=Self>
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+ Div<Output=Self>
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+ Neg<Output=Self>
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where
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Self: Float<Bits = <Self as RawFloat>::RawBits>
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{
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const INFINITY: Self;
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const NAN: Self;
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const ZERO: Self;
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/// Same as `Float::Bits` with extra traits.
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type RawBits: Add<Output = Self::RawBits> + From<u8> + TryFrom<u64>;
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/// Returns the mantissa, exponent and sign as integers.
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fn integer_decode(self) -> (u64, i16, i8);
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/// Get the raw binary representation of the float.
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fn transmute(self) -> u64;
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/// Transmute the raw binary representation into a float.
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fn from_bits(bits: u64) -> Self;
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/// Decode the float.
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fn unpack(self) -> Unpacked;
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@ -149,6 +153,8 @@ macro_rules! other_constants {
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}
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impl RawFloat for f32 {
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type RawBits = u32;
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const SIG_BITS: u8 = 24;
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const EXP_BITS: u8 = 8;
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const CEIL_LOG5_OF_MAX_SIG: i16 = 11;
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@ -159,7 +165,7 @@ impl RawFloat for f32 {
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/// Returns the mantissa, exponent and sign as integers.
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fn integer_decode(self) -> (u64, i16, i8) {
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let bits: u32 = unsafe { transmute(self) };
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let bits = self.to_bits();
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let sign: i8 = if bits >> 31 == 0 { 1 } else { -1 };
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let mut exponent: i16 = ((bits >> 23) & 0xff) as i16;
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let mantissa = if exponent == 0 {
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@ -172,16 +178,6 @@ fn integer_decode(self) -> (u64, i16, i8) {
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(mantissa as u64, exponent, sign)
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}
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fn transmute(self) -> u64 {
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let bits: u32 = unsafe { transmute(self) };
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bits as u64
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}
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fn from_bits(bits: u64) -> f32 {
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assert!(bits < u32::MAX as u64, "f32::from_bits: too many bits");
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unsafe { transmute(bits as u32) }
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}
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fn unpack(self) -> Unpacked {
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let (sig, exp, _sig) = self.integer_decode();
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Unpacked::new(sig, exp)
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@ -200,6 +196,8 @@ fn short_fast_pow10(e: usize) -> Self {
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impl RawFloat for f64 {
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type RawBits = u64;
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const SIG_BITS: u8 = 53;
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const EXP_BITS: u8 = 11;
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const CEIL_LOG5_OF_MAX_SIG: i16 = 23;
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@ -210,7 +208,7 @@ impl RawFloat for f64 {
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/// Returns the mantissa, exponent and sign as integers.
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fn integer_decode(self) -> (u64, i16, i8) {
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let bits: u64 = unsafe { transmute(self) };
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let bits = self.to_bits();
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let sign: i8 = if bits >> 63 == 0 { 1 } else { -1 };
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let mut exponent: i16 = ((bits >> 52) & 0x7ff) as i16;
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let mantissa = if exponent == 0 {
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@ -223,15 +221,6 @@ fn integer_decode(self) -> (u64, i16, i8) {
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(mantissa, exponent, sign)
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}
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fn transmute(self) -> u64 {
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let bits: u64 = unsafe { transmute(self) };
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bits
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}
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fn from_bits(bits: u64) -> f64 {
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unsafe { transmute(bits) }
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}
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fn unpack(self) -> Unpacked {
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let (sig, exp, _sig) = self.integer_decode();
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Unpacked::new(sig, exp)
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@ -296,14 +285,14 @@ pub fn encode_normal<T: RawFloat>(x: Unpacked) -> T {
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"encode_normal: exponent out of range");
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// Leave sign bit at 0 ("+"), our numbers are all positive
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let bits = (k_enc as u64) << T::EXPLICIT_SIG_BITS | sig_enc;
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T::from_bits(bits)
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T::from_bits(bits.try_into().unwrap_or_else(|_| unreachable!()))
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}
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/// Construct a subnormal. A mantissa of 0 is allowed and constructs zero.
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pub fn encode_subnormal<T: RawFloat>(significand: u64) -> T {
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assert!(significand < T::MIN_SIG, "encode_subnormal: not actually subnormal");
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// Encoded exponent is 0, the sign bit is 0, so we just have to reinterpret the bits.
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T::from_bits(significand)
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T::from_bits(significand.try_into().unwrap_or_else(|_| unreachable!()))
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}
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/// Approximate a bignum with an Fp. Rounds within 0.5 ULP with half-to-even.
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@ -363,8 +352,7 @@ pub fn next_float<T: RawFloat>(x: T) -> T {
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// too is exactly what we want!
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// Finally, f64::MAX + 1 = 7eff...f + 1 = 7ff0...0 = f64::INFINITY.
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Zero | Subnormal | Normal => {
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let bits: u64 = x.transmute();
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T::from_bits(bits + 1)
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T::from_bits(x.to_bits() + T::Bits::from(1u8))
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}
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}
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}
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@ -145,6 +145,8 @@ pub mod consts {
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reason = "stable interface is via `impl f{32,64}` in later crates",
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issue = "32110")]
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impl Float for f32 {
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type Bits = u32;
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/// Returns `true` if the number is NaN.
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#[inline]
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fn is_nan(self) -> bool {
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@ -176,7 +178,7 @@ fn classify(self) -> Fp {
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const EXP_MASK: u32 = 0x7f800000;
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const MAN_MASK: u32 = 0x007fffff;
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let bits: u32 = unsafe { mem::transmute(self) };
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let bits = self.to_bits();
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match (bits & MAN_MASK, bits & EXP_MASK) {
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(0, 0) => Fp::Zero,
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(_, 0) => Fp::Subnormal,
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@ -220,12 +222,7 @@ fn is_sign_positive(self) -> bool {
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fn is_sign_negative(self) -> bool {
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// IEEE754 says: isSignMinus(x) is true if and only if x has negative sign. isSignMinus
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// applies to zeros and NaNs as well.
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#[repr(C)]
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union F32Bytes {
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f: f32,
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b: u32
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}
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unsafe { F32Bytes { f: self }.b & 0x8000_0000 != 0 }
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self.to_bits() & 0x8000_0000 != 0
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}
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/// Returns the reciprocal (multiplicative inverse) of the number.
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@ -279,4 +276,17 @@ fn min(self, other: f32) -> f32 {
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// multiplying by 1.0. Should switch to the `canonicalize` when it works.
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(if other.is_nan() || self < other { self } else { other }) * 1.0
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}
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/// Raw transmutation to `u32`.
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#[inline]
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fn to_bits(self) -> u32 {
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unsafe { mem::transmute(self) }
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}
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/// Raw transmutation from `u32`.
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#[inline]
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fn from_bits(v: u32) -> Self {
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// It turns out the safety issues with sNaN were overblown! Hooray!
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unsafe { mem::transmute(v) }
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}
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}
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reason = "stable interface is via `impl f{32,64}` in later crates",
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issue = "32110")]
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impl Float for f64 {
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type Bits = u64;
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/// Returns `true` if the number is NaN.
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#[inline]
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fn is_nan(self) -> bool {
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@ -176,7 +178,7 @@ fn classify(self) -> Fp {
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const EXP_MASK: u64 = 0x7ff0000000000000;
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const MAN_MASK: u64 = 0x000fffffffffffff;
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let bits: u64 = unsafe { mem::transmute(self) };
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let bits = self.to_bits();
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match (bits & MAN_MASK, bits & EXP_MASK) {
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(0, 0) => Fp::Zero,
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(_, 0) => Fp::Subnormal,
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@ -218,12 +220,7 @@ fn is_sign_positive(self) -> bool {
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/// negative sign bit and negative infinity.
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#[inline]
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fn is_sign_negative(self) -> bool {
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#[repr(C)]
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union F64Bytes {
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f: f64,
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b: u64
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}
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unsafe { F64Bytes { f: self }.b & 0x8000_0000_0000_0000 != 0 }
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self.to_bits() & 0x8000_0000_0000_0000 != 0
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}
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/// Returns the reciprocal (multiplicative inverse) of the number.
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@ -277,4 +274,17 @@ fn min(self, other: f64) -> f64 {
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// multiplying by 1.0. Should switch to the `canonicalize` when it works.
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(if other.is_nan() || self < other { self } else { other }) * 1.0
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}
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/// Raw transmutation to `u64`.
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#[inline]
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fn to_bits(self) -> u64 {
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unsafe { mem::transmute(self) }
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}
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/// Raw transmutation from `u64`.
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#[inline]
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fn from_bits(v: u64) -> Self {
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// It turns out the safety issues with sNaN were overblown! Hooray!
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unsafe { mem::transmute(v) }
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}
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}
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@ -2880,6 +2880,10 @@ pub enum FpCategory {
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reason = "stable interface is via `impl f{32,64}` in later crates",
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issue = "32110")]
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pub trait Float: Sized {
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/// Type used by `to_bits` and `from_bits`.
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#[stable(feature = "core_float_bits", since = "1.24.0")]
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type Bits;
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/// Returns `true` if this value is NaN and false otherwise.
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#[stable(feature = "core", since = "1.6.0")]
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fn is_nan(self) -> bool;
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@ -2941,6 +2945,13 @@ pub trait Float: Sized {
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/// Returns the minimum of the two numbers.
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#[stable(feature = "core_float_min_max", since="1.20.0")]
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fn min(self, other: Self) -> Self;
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/// Raw transmutation to integer.
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#[stable(feature = "core_float_bits", since="1.24.0")]
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fn to_bits(self) -> Self::Bits;
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/// Raw transmutation from integer.
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#[stable(feature = "core_float_bits", since="1.24.0")]
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fn from_bits(v: Self::Bits) -> Self;
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}
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macro_rules! from_str_radix_int_impl {
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@ -1015,7 +1015,7 @@ pub fn atanh(self) -> f32 {
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#[stable(feature = "float_bits_conv", since = "1.20.0")]
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#[inline]
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pub fn to_bits(self) -> u32 {
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unsafe { ::mem::transmute(self) }
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num::Float::to_bits(self)
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}
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/// Raw transmutation from `u32`.
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@ -1059,8 +1059,7 @@ pub fn to_bits(self) -> u32 {
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#[stable(feature = "float_bits_conv", since = "1.20.0")]
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#[inline]
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pub fn from_bits(v: u32) -> Self {
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// It turns out the safety issues with sNaN were overblown! Hooray!
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unsafe { ::mem::transmute(v) }
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num::Float::from_bits(v)
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}
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}
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@ -970,7 +970,7 @@ fn log_wrapper<F: Fn(f64) -> f64>(self, log_fn: F) -> f64 {
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#[stable(feature = "float_bits_conv", since = "1.20.0")]
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#[inline]
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pub fn to_bits(self) -> u64 {
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unsafe { ::mem::transmute(self) }
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num::Float::to_bits(self)
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}
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/// Raw transmutation from `u64`.
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@ -1014,8 +1014,7 @@ pub fn to_bits(self) -> u64 {
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#[stable(feature = "float_bits_conv", since = "1.20.0")]
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#[inline]
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pub fn from_bits(v: u64) -> Self {
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// It turns out the safety issues with sNaN were overblown! Hooray!
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unsafe { ::mem::transmute(v) }
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num::Float::from_bits(v)
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}
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}
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