use core::cmp::Ordering;
use core::fmt;
use core::ops::{Add, Div, Mul, Sub};
use crate::{ConversionError, dispatch};
macro_rules! impl_float_format {
($ty:ty, $to_float:ident) => {
impl fmt::Display for $ty {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
fmt::Display::fmt(&self.$to_float(), f)
}
}
impl fmt::LowerExp for $ty {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
fmt::LowerExp::fmt(&self.$to_float(), f)
}
}
impl fmt::UpperExp for $ty {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
fmt::UpperExp::fmt(&self.$to_float(), f)
}
}
};
}
#[derive(Clone, Copy, Default, Hash, PartialEq, Eq)]
#[repr(transparent)]
pub struct Uf64E11M52(u64);
pub type Uf64 = Uf64E11M52;
impl Uf64E11M52 {
pub const EXPONENT_BITS: u32 = 11;
pub const MANTISSA_BITS: u32 = 52;
pub const EXPONENT_BIAS: i32 = 1023;
pub const EXPONENT_MASK: u64 = 0x7ff0_0000_0000_0000;
pub const MANTISSA_MASK: u64 = 0x000f_ffff_ffff_ffff;
pub const ZERO: Self = Self(0);
pub const ONE: Self = Self(0x3ff0_0000_0000_0000);
pub const INFINITY: Self = Self(0x7ff0_0000_0000_0000);
pub const NAN: Self = Self(0x7ff8_0000_0000_0000);
pub const MAX: Self = Self(0x7fef_ffff_ffff_ffff);
pub const MIN_POSITIVE: Self = Self(0x0000_0000_0000_0001);
pub const MIN_NORMAL: Self = Self(0x0010_0000_0000_0000);
pub const fn from_bits(bits: u64) -> Self {
Self(bits)
}
pub const fn to_bits(self) -> u64 {
self.0
}
pub fn from_f128(value: f128) -> Self {
Self(dispatch::f128_to_uf64(value))
}
pub fn to_f128(self) -> f128 {
dispatch::uf64_to_f128(self.0)
}
pub fn try_from_f128(value: f128) -> Result<Self, ConversionError> {
if value.is_nan() {
return Err(ConversionError::Nan);
}
if value.is_infinite() {
return Err(ConversionError::Infinite);
}
if value < 0.0_f128 {
return Err(ConversionError::Negative);
}
let encoded = Self::from_f128(value);
if encoded.is_infinite() {
Err(ConversionError::Overflow)
} else if value != 0.0_f128 && encoded.is_zero() {
Err(ConversionError::Underflow)
} else {
Ok(encoded)
}
}
pub fn from_f64(value: f64) -> Self {
Self::from_f128(value as f128)
}
pub fn to_f64(self) -> f64 {
self.to_f128() as f64
}
pub fn try_from_f64(value: f64) -> Result<Self, ConversionError> {
crate::convert::check_finite_non_negative(value)?;
let encoded = Self::from_f64(value);
crate::convert::check_encoded(value, encoded.is_zero(), encoded.is_infinite())?;
Ok(encoded)
}
pub fn from_f32(value: f32) -> Self {
Self::from_f128(value as f128)
}
pub fn to_f32(self) -> f32 {
self.to_f128() as f32
}
#[cfg(feature = "f16")]
pub fn from_f16(value: f16) -> Self {
Self::from_f128(value as f128)
}
#[cfg(feature = "f16")]
pub fn to_f16(self) -> f16 {
self.to_f128() as f16
}
pub const fn exponent(self) -> u64 {
(self.0 & Self::EXPONENT_MASK) >> Self::MANTISSA_BITS
}
pub const fn mantissa(self) -> u64 {
self.0 & Self::MANTISSA_MASK
}
pub const fn is_zero(self) -> bool {
self.0 == 0
}
pub const fn is_nan(self) -> bool {
self.exponent() == 0x7ff && self.mantissa() != 0
}
pub const fn is_infinite(self) -> bool {
self.0 == Self::INFINITY.0
}
pub const fn is_finite(self) -> bool {
self.exponent() != 0x7ff
}
pub const fn is_subnormal(self) -> bool {
self.exponent() == 0 && self.mantissa() != 0
}
}
impl From<f32> for Uf64E11M52 {
fn from(value: f32) -> Self {
Self::from_f32(value)
}
}
impl From<f64> for Uf64E11M52 {
fn from(value: f64) -> Self {
Self::from_f64(value)
}
}
#[cfg(feature = "f16")]
impl From<f16> for Uf64E11M52 {
fn from(value: f16) -> Self {
Self::from_f16(value)
}
}
#[cfg(feature = "f16")]
impl From<Uf64E11M52> for f16 {
fn from(value: Uf64E11M52) -> Self {
value.to_f16()
}
}
impl From<Uf64E11M52> for f32 {
fn from(value: Uf64E11M52) -> Self {
value.to_f32()
}
}
impl From<Uf64E11M52> for f64 {
fn from(value: Uf64E11M52) -> Self {
value.to_f64()
}
}
impl From<Uf64E11M52> for f128 {
fn from(value: Uf64E11M52) -> Self {
value.to_f128()
}
}
impl TryFrom<f128> for Uf64E11M52 {
type Error = ConversionError;
fn try_from(value: f128) -> Result<Self, Self::Error> {
Self::try_from_f128(value)
}
}
impl Ord for Uf64E11M52 {
fn cmp(&self, other: &Self) -> Ordering {
self.0.cmp(&other.0)
}
}
impl PartialOrd for Uf64E11M52 {
fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
Some(self.cmp(other))
}
}
impl Add for Uf64E11M52 {
type Output = Self;
fn add(self, rhs: Self) -> Self::Output {
Self(dispatch::add_uf64(self.0, rhs.0))
}
}
impl Sub for Uf64E11M52 {
type Output = Self;
fn sub(self, rhs: Self) -> Self::Output {
Self(dispatch::sub_uf64(self.0, rhs.0))
}
}
impl Mul for Uf64E11M52 {
type Output = Self;
fn mul(self, rhs: Self) -> Self::Output {
Self(dispatch::mul_uf64(self.0, rhs.0))
}
}
impl Div for Uf64E11M52 {
type Output = Self;
fn div(self, rhs: Self) -> Self::Output {
Self(dispatch::div_uf64(self.0, rhs.0))
}
}
impl fmt::Debug for Uf64E11M52 {
fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
f.debug_tuple("Uf64E11M52").field(&self.to_f64()).finish()
}
}
impl_float_format!(Uf64E11M52, to_f64);