cubecl-common 0.11.0-pre.1

Common crate for CubeCL
Documentation
use core::{
    cmp::Ordering,
    fmt::{Debug, Display},
    num::ParseFloatError,
    ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Rem, RemAssign, Sub, SubAssign},
};

use bytemuck::{Pod, Zeroable};
use float8::F8E5M2;
use num_traits::{Num, NumCast, One, ToPrimitive, Zero};

/// A 8-bit floating point type with 5 exponent bits and 2 mantissa bits.
///
/// [`Minifloat`]: https://en.wikipedia.org/wiki/Minifloat
#[allow(non_camel_case_types)]
#[repr(transparent)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
#[derive(Clone, Copy, Default, Zeroable, Pod, PartialEq, PartialOrd)]
pub struct e5m2(u8);

impl e5m2 {
    /// Maximum representable value
    pub const MAX: e5m2 = Self::from_bits(F8E5M2::MAX.to_bits());
    /// Minimum representable value
    pub const MIN: e5m2 = Self::from_bits(F8E5M2::MIN.to_bits());
    /// the difference between 1.0 and the next largest representable number.
    pub const EPSILON: Self = Self::from_bits(F8E5M2::EPSILON.to_bits());
    /// Minimum representable value
    pub const MIN_POSITIVE: Self = Self::from_bits(F8E5M2::MIN_POSITIVE.to_bits());
    ///Approximate number of significant digits in base 10
    pub const DIGITS: u32 = F8E5M2::DIGITS;
    ///Number of mantissa digits
    pub const MANTISSA_DIGITS: u32 = F8E5M2::MANTISSA_DIGITS;
    /// Maximum possible normal power of 10 exponent
    pub const MAX_10_EXP: i32 = F8E5M2::MAX_10_EXP;
    /// Maximum possible normal power of 2 exponent
    pub const MAX_EXP: i32 = F8E5M2::MAX_EXP;
    /// Minimum possible normal power of 10 exponent
    pub const MIN_10_EXP: i32 = F8E5M2::MIN_10_EXP;
    /// Minimum possible normal power of 2 exponent
    pub const MIN_EXP: i32 = F8E5M2::MIN_EXP;
    /// The radix, or base, of the floating-point representation.
    pub const RADIX: u32 = 2;
    /// nan
    pub const NAN: Self = Self::from_bits(0xFFu8);
    /// Zero
    pub const ZERO: e5m2 = Self::from_bits(F8E5M2::ZERO.to_bits());
    /// Negative Zero
    pub const NEG_ZERO: e5m2 = Self::from_bits(F8E5M2::NEG_ZERO.to_bits());
    /// One
    pub const ONE: e5m2 = Self::from_bits(F8E5M2::ONE.to_bits());
    /// Constructs a [`e5m2`] value from the raw bits.
    #[inline]
    #[must_use]
    pub const fn from_bits(bits: u8) -> e5m2 {
        e5m2(bits)
    }

    /// Constructs a [`e5m2`] value from a 32-bit floating point value.
    ///
    /// This operation is lossy. If the 32-bit value is too large to fit, ±∞ will result. NaN values
    /// are preserved. Subnormal values that are too tiny to be represented will result in ±0. All
    /// other values are truncated and rounded to the nearest representable value.
    #[inline]
    #[must_use]
    pub const fn from_f32(value: f32) -> e5m2 {
        Self::from_f64(value as f64)
    }

    /// Constructs a [`e5m2`] value from a 64-bit floating point value.
    ///
    /// This operation is lossy. If the 64-bit value is to large to fit, ±∞ will result. NaN values
    /// are preserved. 64-bit subnormal values are too tiny to be represented and result in ±0.
    /// Exponents that underflow the minimum exponent will result in subnormals or ±0. All other
    /// values are truncated and rounded to the nearest representable value.
    #[inline]
    #[must_use]
    pub const fn from_f64(value: f64) -> e5m2 {
        e5m2(F8E5M2::from_f64(value).to_bits())
    }

    /// Converts a [`e5m2`] into the underlying bit representation.
    #[inline]
    #[must_use]
    pub const fn to_bits(self) -> u8 {
        self.0
    }

    /// check if an [`e5m2`] value is Nan
    #[inline]
    pub fn is_nan(self) -> bool {
        [0x7D, 0x7E, 0x7F, 0xFD, 0xFE, 0xFF].contains(&self.0)
    }

    /// Converts a [`e5m2`] value into an [`f32`] value.
    ///
    /// This conversion is lossless as all values can be represented exactly in [`f32`].
    #[inline]
    #[must_use]
    pub const fn to_f32(self) -> f32 {
        self.to_f64() as f32
    }

    /// Converts a [`e5m2`] value into an [`f64`] value.
    ///
    /// This conversion is lossless as all values can be represented exactly in [`f64`].
    #[inline]
    #[must_use]
    pub const fn to_f64(self) -> f64 {
        F8E5M2::from_bits(self.0).to_f64()
    }

    /// Compares [`e5m2`] values
    #[inline]
    pub fn total_cmp(self, other: Self) -> Ordering {
        F8E5M2::total_cmp(&self.into(), &other.into())
    }
}

impl From<F8E5M2> for e5m2 {
    fn from(value: F8E5M2) -> Self {
        e5m2(value.to_bits())
    }
}

impl From<e5m2> for F8E5M2 {
    fn from(value: e5m2) -> Self {
        Self::from_bits(value.to_bits())
    }
}

impl Zero for e5m2 {
    fn zero() -> Self {
        Self::ZERO
    }

    fn is_zero(&self) -> bool {
        [Self::ZERO, Self::NEG_ZERO].contains(self)
    }
}

impl One for e5m2 {
    fn one() -> Self {
        Self::from_bits(F8E5M2::ONE.to_bits())
    }

    fn is_one(&self) -> bool {
        self == &Self::one()
    }
}

impl Num for e5m2 {
    type FromStrRadixErr = ParseFloatError;

    fn from_str_radix(src: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr> {
        if radix != 10 {
            return "".parse::<f32>().map(|_| unreachable!());
        }
        let val_f32 = src.parse::<f32>()?;
        Ok(Self::from_f32(val_f32))
    }
}

impl Neg for e5m2 {
    type Output = Self;

    fn neg(self) -> Self::Output {
        Self::from_f32(self.to_f32().neg())
    }
}

impl Mul for e5m2 {
    type Output = Self;

    fn mul(self, rhs: Self) -> Self::Output {
        Self::from_f32(self.to_f32() * rhs.to_f32())
    }
}

impl MulAssign for e5m2 {
    fn mul_assign(&mut self, rhs: Self) {
        *self = *self * rhs;
    }
}

impl Div for e5m2 {
    type Output = Self;

    fn div(self, rhs: Self) -> Self::Output {
        Self::from_f32(self.to_f32() / rhs.to_f32())
    }
}

impl DivAssign for e5m2 {
    fn div_assign(&mut self, rhs: Self) {
        *self = *self / rhs;
    }
}

impl Rem for e5m2 {
    type Output = Self;

    fn rem(self, rhs: Self) -> Self::Output {
        Self::from_f32(self.to_f32() % rhs.to_f32())
    }
}

impl RemAssign for e5m2 {
    fn rem_assign(&mut self, rhs: Self) {
        *self = *self % rhs;
    }
}

impl Add for e5m2 {
    type Output = Self;

    fn add(self, rhs: Self) -> Self::Output {
        Self::from_f32(self.to_f32() + rhs.to_f32())
    }
}

impl AddAssign for e5m2 {
    fn add_assign(&mut self, rhs: Self) {
        *self = *self + rhs;
    }
}

impl Sub for e5m2 {
    type Output = Self;

    fn sub(self, rhs: Self) -> Self::Output {
        Self::from_f32(self.to_f32() - rhs.to_f32())
    }
}

impl SubAssign for e5m2 {
    fn sub_assign(&mut self, rhs: Self) {
        *self = *self - rhs;
    }
}

impl ToPrimitive for e5m2 {
    fn to_i64(&self) -> Option<i64> {
        Some(e5m2::to_f32(*self) as i64)
    }

    fn to_u64(&self) -> Option<u64> {
        Some(e5m2::to_f64(*self) as u64)
    }

    fn to_f32(&self) -> Option<f32> {
        Some(e5m2::to_f32(*self))
    }

    fn to_f64(&self) -> Option<f64> {
        Some(e5m2::to_f64(*self))
    }
}

impl NumCast for e5m2 {
    fn from<T: num_traits::ToPrimitive>(n: T) -> Option<Self> {
        Some(Self::from_f32(n.to_f32()?))
    }
}

impl Display for e5m2 {
    fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
        write!(f, "{}", e5m2::to_f32(*self))
    }
}

impl Debug for e5m2 {
    fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
        write!(f, "{self}")
    }
}