use crate::{bf16, f16}; use core::cmp::Ordering; use core::{num::FpCategory, ops::Div}; use num_traits::{ AsPrimitive, Bounded, FloatConst, FromPrimitive, Num, NumCast, One, ToPrimitive, Zero, }; impl ToPrimitive for f16 { #[inline] fn to_i64(&self) -> Option { Self::to_f32(*self).to_i64() } #[inline] fn to_u64(&self) -> Option { Self::to_f32(*self).to_u64() } #[inline] fn to_i8(&self) -> Option { Self::to_f32(*self).to_i8() } #[inline] fn to_u8(&self) -> Option { Self::to_f32(*self).to_u8() } #[inline] fn to_i16(&self) -> Option { Self::to_f32(*self).to_i16() } #[inline] fn to_u16(&self) -> Option { Self::to_f32(*self).to_u16() } #[inline] fn to_i32(&self) -> Option { Self::to_f32(*self).to_i32() } #[inline] fn to_u32(&self) -> Option { Self::to_f32(*self).to_u32() } #[inline] fn to_f32(&self) -> Option { Some(Self::to_f32(*self)) } #[inline] fn to_f64(&self) -> Option { Some(Self::to_f64(*self)) } } impl FromPrimitive for f16 { #[inline] fn from_i64(n: i64) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_u64(n: u64) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_i8(n: i8) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_u8(n: u8) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_i16(n: i16) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_u16(n: u16) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_i32(n: i32) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_u32(n: u32) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_f32(n: f32) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_f64(n: f64) -> Option { n.to_f64().map(Self::from_f64) } } impl Num for f16 { type FromStrRadixErr = ::FromStrRadixErr; #[inline] fn from_str_radix(str: &str, radix: u32) -> Result { Ok(Self::from_f32(f32::from_str_radix(str, radix)?)) } } impl One for f16 { #[inline] fn one() -> Self { Self::ONE } } impl Zero for f16 { #[inline] fn zero() -> Self { Self::ZERO } #[inline] fn is_zero(&self) -> bool { *self == Self::ZERO } } impl NumCast for f16 { #[inline] fn from(n: T) -> Option { n.to_f32().map(Self::from_f32) } } impl num_traits::float::FloatCore for f16 { #[inline] fn infinity() -> Self { Self::INFINITY } #[inline] fn neg_infinity() -> Self { Self::NEG_INFINITY } #[inline] fn nan() -> Self { Self::NAN } #[inline] fn neg_zero() -> Self { Self::NEG_ZERO } #[inline] fn min_value() -> Self { Self::MIN } #[inline] fn min_positive_value() -> Self { Self::MIN_POSITIVE } #[inline] fn epsilon() -> Self { Self::EPSILON } #[inline] fn max_value() -> Self { Self::MAX } #[inline] fn is_nan(self) -> bool { self.is_nan() } #[inline] fn is_infinite(self) -> bool { self.is_infinite() } #[inline] fn is_finite(self) -> bool { self.is_finite() } #[inline] fn is_normal(self) -> bool { self.is_normal() } #[inline] fn classify(self) -> FpCategory { self.classify() } #[inline] fn floor(self) -> Self { Self::from_f32(self.to_f32().floor()) } #[inline] fn ceil(self) -> Self { Self::from_f32(self.to_f32().ceil()) } #[inline] fn round(self) -> Self { Self::from_f32(self.to_f32().round()) } #[inline] fn trunc(self) -> Self { Self::from_f32(self.to_f32().trunc()) } #[inline] fn fract(self) -> Self { Self::from_f32(self.to_f32().fract()) } #[inline] fn abs(self) -> Self { Self::from_bits(self.to_bits() & 0x7FFF) } #[inline] fn signum(self) -> Self { self.signum() } #[inline] fn is_sign_positive(self) -> bool { self.is_sign_positive() } #[inline] fn is_sign_negative(self) -> bool { self.is_sign_negative() } fn min(self, other: Self) -> Self { match self.partial_cmp(&other) { None => { if self.is_nan() { other } else { self } } Some(Ordering::Greater) | Some(Ordering::Equal) => other, Some(Ordering::Less) => self, } } fn max(self, other: Self) -> Self { match self.partial_cmp(&other) { None => { if self.is_nan() { other } else { self } } Some(Ordering::Greater) | Some(Ordering::Equal) => self, Some(Ordering::Less) => other, } } #[inline] fn recip(self) -> Self { Self::from_f32(self.to_f32().recip()) } #[inline] fn powi(self, exp: i32) -> Self { Self::from_f32(self.to_f32().powi(exp)) } #[inline] fn to_degrees(self) -> Self { Self::from_f32(self.to_f32().to_degrees()) } #[inline] fn to_radians(self) -> Self { Self::from_f32(self.to_f32().to_radians()) } #[inline] fn integer_decode(self) -> (u64, i16, i8) { num_traits::float::FloatCore::integer_decode(self.to_f32()) } } impl num_traits::float::Float for f16 { #[inline] fn nan() -> Self { Self::NAN } #[inline] fn infinity() -> Self { Self::INFINITY } #[inline] fn neg_infinity() -> Self { Self::NEG_INFINITY } #[inline] fn neg_zero() -> Self { Self::NEG_ZERO } #[inline] fn min_value() -> Self { Self::MIN } #[inline] fn min_positive_value() -> Self { Self::MIN_POSITIVE } #[inline] fn epsilon() -> Self { Self::EPSILON } #[inline] fn max_value() -> Self { Self::MAX } #[inline] fn is_nan(self) -> bool { self.is_nan() } #[inline] fn is_infinite(self) -> bool { self.is_infinite() } #[inline] fn is_finite(self) -> bool { self.is_finite() } #[inline] fn is_normal(self) -> bool { self.is_normal() } #[inline] fn classify(self) -> FpCategory { self.classify() } #[inline] fn floor(self) -> Self { Self::from_f32(self.to_f32().floor()) } #[inline] fn ceil(self) -> Self { Self::from_f32(self.to_f32().ceil()) } #[inline] fn round(self) -> Self { Self::from_f32(self.to_f32().round()) } #[inline] fn trunc(self) -> Self { Self::from_f32(self.to_f32().trunc()) } #[inline] fn fract(self) -> Self { Self::from_f32(self.to_f32().fract()) } #[inline] fn abs(self) -> Self { Self::from_f32(self.to_f32().abs()) } #[inline] fn signum(self) -> Self { Self::from_f32(self.to_f32().signum()) } #[inline] fn is_sign_positive(self) -> bool { self.is_sign_positive() } #[inline] fn is_sign_negative(self) -> bool { self.is_sign_negative() } #[inline] fn mul_add(self, a: Self, b: Self) -> Self { Self::from_f32(self.to_f32().mul_add(a.to_f32(), b.to_f32())) } #[inline] fn recip(self) -> Self { Self::from_f32(self.to_f32().recip()) } #[inline] fn powi(self, n: i32) -> Self { Self::from_f32(self.to_f32().powi(n)) } #[inline] fn powf(self, n: Self) -> Self { Self::from_f32(self.to_f32().powf(n.to_f32())) } #[inline] fn sqrt(self) -> Self { Self::from_f32(self.to_f32().sqrt()) } #[inline] fn exp(self) -> Self { Self::from_f32(self.to_f32().exp()) } #[inline] fn exp2(self) -> Self { Self::from_f32(self.to_f32().exp2()) } #[inline] fn ln(self) -> Self { Self::from_f32(self.to_f32().ln()) } #[inline] fn log(self, base: Self) -> Self { Self::from_f32(self.to_f32().log(base.to_f32())) } #[inline] fn log2(self) -> Self { Self::from_f32(self.to_f32().log2()) } #[inline] fn log10(self) -> Self { Self::from_f32(self.to_f32().log10()) } #[inline] fn to_degrees(self) -> Self { Self::from_f32(self.to_f32().to_degrees()) } #[inline] fn to_radians(self) -> Self { Self::from_f32(self.to_f32().to_radians()) } #[inline] fn max(self, other: Self) -> Self { self.max(other) } #[inline] fn min(self, other: Self) -> Self { self.min(other) } #[inline] fn abs_sub(self, other: Self) -> Self { Self::from_f32((self.to_f32() - other.to_f32()).max(0.0)) } #[inline] fn cbrt(self) -> Self { Self::from_f32(self.to_f32().cbrt()) } #[inline] fn hypot(self, other: Self) -> Self { Self::from_f32(self.to_f32().hypot(other.to_f32())) } #[inline] fn sin(self) -> Self { Self::from_f32(self.to_f32().sin()) } #[inline] fn cos(self) -> Self { Self::from_f32(self.to_f32().cos()) } #[inline] fn tan(self) -> Self { Self::from_f32(self.to_f32().tan()) } #[inline] fn asin(self) -> Self { Self::from_f32(self.to_f32().asin()) } #[inline] fn acos(self) -> Self { Self::from_f32(self.to_f32().acos()) } #[inline] fn atan(self) -> Self { Self::from_f32(self.to_f32().atan()) } #[inline] fn atan2(self, other: Self) -> Self { Self::from_f32(self.to_f32().atan2(other.to_f32())) } #[inline] fn sin_cos(self) -> (Self, Self) { let (sin, cos) = self.to_f32().sin_cos(); (Self::from_f32(sin), Self::from_f32(cos)) } #[inline] fn exp_m1(self) -> Self { Self::from_f32(self.to_f32().exp_m1()) } #[inline] fn ln_1p(self) -> Self { Self::from_f32(self.to_f32().ln_1p()) } #[inline] fn sinh(self) -> Self { Self::from_f32(self.to_f32().sinh()) } #[inline] fn cosh(self) -> Self { Self::from_f32(self.to_f32().cosh()) } #[inline] fn tanh(self) -> Self { Self::from_f32(self.to_f32().tanh()) } #[inline] fn asinh(self) -> Self { Self::from_f32(self.to_f32().asinh()) } #[inline] fn acosh(self) -> Self { Self::from_f32(self.to_f32().acosh()) } #[inline] fn atanh(self) -> Self { Self::from_f32(self.to_f32().atanh()) } #[inline] fn integer_decode(self) -> (u64, i16, i8) { num_traits::float::Float::integer_decode(self.to_f32()) } } impl FloatConst for f16 { #[inline] fn E() -> Self { Self::E } #[inline] fn FRAC_1_PI() -> Self { Self::FRAC_1_PI } #[inline] fn FRAC_1_SQRT_2() -> Self { Self::FRAC_1_SQRT_2 } #[inline] fn FRAC_2_PI() -> Self { Self::FRAC_2_PI } #[inline] fn FRAC_2_SQRT_PI() -> Self { Self::FRAC_2_SQRT_PI } #[inline] fn FRAC_PI_2() -> Self { Self::FRAC_PI_2 } #[inline] fn FRAC_PI_3() -> Self { Self::FRAC_PI_3 } #[inline] fn FRAC_PI_4() -> Self { Self::FRAC_PI_4 } #[inline] fn FRAC_PI_6() -> Self { Self::FRAC_PI_6 } #[inline] fn FRAC_PI_8() -> Self { Self::FRAC_PI_8 } #[inline] fn LN_10() -> Self { Self::LN_10 } #[inline] fn LN_2() -> Self { Self::LN_2 } #[inline] fn LOG10_E() -> Self { Self::LOG10_E } #[inline] fn LOG2_E() -> Self { Self::LOG2_E } #[inline] fn PI() -> Self { Self::PI } fn SQRT_2() -> Self { Self::SQRT_2 } #[inline] fn LOG10_2() -> Self where Self: Sized + Div, { Self::LOG10_2 } #[inline] fn LOG2_10() -> Self where Self: Sized + Div, { Self::LOG2_10 } } impl Bounded for f16 { #[inline] fn min_value() -> Self { f16::MIN } #[inline] fn max_value() -> Self { f16::MAX } } macro_rules! impl_as_primitive_to_f16 { ($ty:ty, $meth:ident) => { impl AsPrimitive<$ty> for f16 { #[inline] fn as_(self) -> $ty { self.$meth().as_() } } }; } impl AsPrimitive for f16 { #[inline] fn as_(self) -> f16 { self } } impl_as_primitive_to_f16!(i64, to_f32); impl_as_primitive_to_f16!(u64, to_f32); impl_as_primitive_to_f16!(i8, to_f32); impl_as_primitive_to_f16!(u8, to_f32); impl_as_primitive_to_f16!(i16, to_f32); impl_as_primitive_to_f16!(u16, to_f32); impl_as_primitive_to_f16!(i32, to_f32); impl_as_primitive_to_f16!(u32, to_f32); impl_as_primitive_to_f16!(isize, to_f32); impl_as_primitive_to_f16!(usize, to_f32); impl_as_primitive_to_f16!(f32, to_f32); impl_as_primitive_to_f16!(f64, to_f64); macro_rules! impl_as_primitive_f16_from { ($ty:ty, $meth:ident) => { impl AsPrimitive for $ty { #[inline] fn as_(self) -> f16 { f16::$meth(self.as_()) } } }; } impl_as_primitive_f16_from!(i64, from_f32); impl_as_primitive_f16_from!(u64, from_f32); impl_as_primitive_f16_from!(i8, from_f32); impl_as_primitive_f16_from!(u8, from_f32); impl_as_primitive_f16_from!(i16, from_f32); impl_as_primitive_f16_from!(u16, from_f32); impl_as_primitive_f16_from!(i32, from_f32); impl_as_primitive_f16_from!(u32, from_f32); impl_as_primitive_f16_from!(isize, from_f32); impl_as_primitive_f16_from!(usize, from_f32); impl_as_primitive_f16_from!(f32, from_f32); impl_as_primitive_f16_from!(f64, from_f64); impl ToPrimitive for bf16 { #[inline] fn to_i64(&self) -> Option { Self::to_f32(*self).to_i64() } #[inline] fn to_u64(&self) -> Option { Self::to_f32(*self).to_u64() } #[inline] fn to_i8(&self) -> Option { Self::to_f32(*self).to_i8() } #[inline] fn to_u8(&self) -> Option { Self::to_f32(*self).to_u8() } #[inline] fn to_i16(&self) -> Option { Self::to_f32(*self).to_i16() } #[inline] fn to_u16(&self) -> Option { Self::to_f32(*self).to_u16() } #[inline] fn to_i32(&self) -> Option { Self::to_f32(*self).to_i32() } #[inline] fn to_u32(&self) -> Option { Self::to_f32(*self).to_u32() } #[inline] fn to_f32(&self) -> Option { Some(Self::to_f32(*self)) } #[inline] fn to_f64(&self) -> Option { Some(Self::to_f64(*self)) } } impl FromPrimitive for bf16 { #[inline] fn from_i64(n: i64) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_u64(n: u64) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_i8(n: i8) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_u8(n: u8) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_i16(n: i16) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_u16(n: u16) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_i32(n: i32) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_u32(n: u32) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_f32(n: f32) -> Option { n.to_f32().map(Self::from_f32) } #[inline] fn from_f64(n: f64) -> Option { n.to_f64().map(Self::from_f64) } } impl Num for bf16 { type FromStrRadixErr = ::FromStrRadixErr; #[inline] fn from_str_radix(str: &str, radix: u32) -> Result { Ok(Self::from_f32(f32::from_str_radix(str, radix)?)) } } impl One for bf16 { #[inline] fn one() -> Self { Self::ONE } } impl Zero for bf16 { #[inline] fn zero() -> Self { Self::ZERO } #[inline] fn is_zero(&self) -> bool { *self == Self::ZERO } } impl NumCast for bf16 { #[inline] fn from(n: T) -> Option { n.to_f32().map(Self::from_f32) } } impl num_traits::float::FloatCore for bf16 { #[inline] fn infinity() -> Self { Self::INFINITY } #[inline] fn neg_infinity() -> Self { Self::NEG_INFINITY } #[inline] fn nan() -> Self { Self::NAN } #[inline] fn neg_zero() -> Self { Self::NEG_ZERO } #[inline] fn min_value() -> Self { Self::MIN } #[inline] fn min_positive_value() -> Self { Self::MIN_POSITIVE } #[inline] fn epsilon() -> Self { Self::EPSILON } #[inline] fn max_value() -> Self { Self::MAX } #[inline] fn is_nan(self) -> bool { self.is_nan() } #[inline] fn is_infinite(self) -> bool { self.is_infinite() } #[inline] fn is_finite(self) -> bool { self.is_finite() } #[inline] fn is_normal(self) -> bool { self.is_normal() } #[inline] fn classify(self) -> FpCategory { self.classify() } #[inline] fn floor(self) -> Self { Self::from_f32(self.to_f32().floor()) } #[inline] fn ceil(self) -> Self { Self::from_f32(self.to_f32().ceil()) } #[inline] fn round(self) -> Self { Self::from_f32(self.to_f32().round()) } #[inline] fn trunc(self) -> Self { Self::from_f32(self.to_f32().trunc()) } #[inline] fn fract(self) -> Self { Self::from_f32(self.to_f32().fract()) } #[inline] fn abs(self) -> Self { Self::from_bits(self.to_bits() & 0x7FFF) } #[inline] fn signum(self) -> Self { self.signum() } #[inline] fn is_sign_positive(self) -> bool { self.is_sign_positive() } #[inline] fn is_sign_negative(self) -> bool { self.is_sign_negative() } fn min(self, other: Self) -> Self { match self.partial_cmp(&other) { None => { if self.is_nan() { other } else { self } } Some(Ordering::Greater) | Some(Ordering::Equal) => other, Some(Ordering::Less) => self, } } fn max(self, other: Self) -> Self { match self.partial_cmp(&other) { None => { if self.is_nan() { other } else { self } } Some(Ordering::Greater) | Some(Ordering::Equal) => self, Some(Ordering::Less) => other, } } #[inline] fn recip(self) -> Self { Self::from_f32(self.to_f32().recip()) } #[inline] fn powi(self, exp: i32) -> Self { Self::from_f32(self.to_f32().powi(exp)) } #[inline] fn to_degrees(self) -> Self { Self::from_f32(self.to_f32().to_degrees()) } #[inline] fn to_radians(self) -> Self { Self::from_f32(self.to_f32().to_radians()) } #[inline] fn integer_decode(self) -> (u64, i16, i8) { num_traits::float::FloatCore::integer_decode(self.to_f32()) } } impl num_traits::float::Float for bf16 { #[inline] fn nan() -> Self { Self::NAN } #[inline] fn infinity() -> Self { Self::INFINITY } #[inline] fn neg_infinity() -> Self { Self::NEG_INFINITY } #[inline] fn neg_zero() -> Self { Self::NEG_ZERO } #[inline] fn min_value() -> Self { Self::MIN } #[inline] fn min_positive_value() -> Self { Self::MIN_POSITIVE } #[inline] fn epsilon() -> Self { Self::EPSILON } #[inline] fn max_value() -> Self { Self::MAX } #[inline] fn is_nan(self) -> bool { self.is_nan() } #[inline] fn is_infinite(self) -> bool { self.is_infinite() } #[inline] fn is_finite(self) -> bool { self.is_finite() } #[inline] fn is_normal(self) -> bool { self.is_normal() } #[inline] fn classify(self) -> FpCategory { self.classify() } #[inline] fn floor(self) -> Self { Self::from_f32(self.to_f32().floor()) } #[inline] fn ceil(self) -> Self { Self::from_f32(self.to_f32().ceil()) } #[inline] fn round(self) -> Self { Self::from_f32(self.to_f32().round()) } #[inline] fn trunc(self) -> Self { Self::from_f32(self.to_f32().trunc()) } #[inline] fn fract(self) -> Self { Self::from_f32(self.to_f32().fract()) } #[inline] fn abs(self) -> Self { Self::from_f32(self.to_f32().abs()) } #[inline] fn signum(self) -> Self { Self::from_f32(self.to_f32().signum()) } #[inline] fn is_sign_positive(self) -> bool { self.is_sign_positive() } #[inline] fn is_sign_negative(self) -> bool { self.is_sign_negative() } #[inline] fn mul_add(self, a: Self, b: Self) -> Self { Self::from_f32(self.to_f32().mul_add(a.to_f32(), b.to_f32())) } #[inline] fn recip(self) -> Self { Self::from_f32(self.to_f32().recip()) } #[inline] fn powi(self, n: i32) -> Self { Self::from_f32(self.to_f32().powi(n)) } #[inline] fn powf(self, n: Self) -> Self { Self::from_f32(self.to_f32().powf(n.to_f32())) } #[inline] fn sqrt(self) -> Self { Self::from_f32(self.to_f32().sqrt()) } #[inline] fn exp(self) -> Self { Self::from_f32(self.to_f32().exp()) } #[inline] fn exp2(self) -> Self { Self::from_f32(self.to_f32().exp2()) } #[inline] fn ln(self) -> Self { Self::from_f32(self.to_f32().ln()) } #[inline] fn log(self, base: Self) -> Self { Self::from_f32(self.to_f32().log(base.to_f32())) } #[inline] fn log2(self) -> Self { Self::from_f32(self.to_f32().log2()) } #[inline] fn log10(self) -> Self { Self::from_f32(self.to_f32().log10()) } #[inline] fn to_degrees(self) -> Self { Self::from_f32(self.to_f32().to_degrees()) } #[inline] fn to_radians(self) -> Self { Self::from_f32(self.to_f32().to_radians()) } #[inline] fn max(self, other: Self) -> Self { self.max(other) } #[inline] fn min(self, other: Self) -> Self { self.min(other) } #[inline] fn abs_sub(self, other: Self) -> Self { Self::from_f32((self.to_f32() - other.to_f32()).max(0.0)) } #[inline] fn cbrt(self) -> Self { Self::from_f32(self.to_f32().cbrt()) } #[inline] fn hypot(self, other: Self) -> Self { Self::from_f32(self.to_f32().hypot(other.to_f32())) } #[inline] fn sin(self) -> Self { Self::from_f32(self.to_f32().sin()) } #[inline] fn cos(self) -> Self { Self::from_f32(self.to_f32().cos()) } #[inline] fn tan(self) -> Self { Self::from_f32(self.to_f32().tan()) } #[inline] fn asin(self) -> Self { Self::from_f32(self.to_f32().asin()) } #[inline] fn acos(self) -> Self { Self::from_f32(self.to_f32().acos()) } #[inline] fn atan(self) -> Self { Self::from_f32(self.to_f32().atan()) } #[inline] fn atan2(self, other: Self) -> Self { Self::from_f32(self.to_f32().atan2(other.to_f32())) } #[inline] fn sin_cos(self) -> (Self, Self) { let (sin, cos) = self.to_f32().sin_cos(); (Self::from_f32(sin), Self::from_f32(cos)) } #[inline] fn exp_m1(self) -> Self { Self::from_f32(self.to_f32().exp_m1()) } #[inline] fn ln_1p(self) -> Self { Self::from_f32(self.to_f32().ln_1p()) } #[inline] fn sinh(self) -> Self { Self::from_f32(self.to_f32().sinh()) } #[inline] fn cosh(self) -> Self { Self::from_f32(self.to_f32().cosh()) } #[inline] fn tanh(self) -> Self { Self::from_f32(self.to_f32().tanh()) } #[inline] fn asinh(self) -> Self { Self::from_f32(self.to_f32().asinh()) } #[inline] fn acosh(self) -> Self { Self::from_f32(self.to_f32().acosh()) } #[inline] fn atanh(self) -> Self { Self::from_f32(self.to_f32().atanh()) } #[inline] fn integer_decode(self) -> (u64, i16, i8) { num_traits::float::Float::integer_decode(self.to_f32()) } } impl FloatConst for bf16 { #[inline] fn E() -> Self { Self::E } #[inline] fn FRAC_1_PI() -> Self { Self::FRAC_1_PI } #[inline] fn FRAC_1_SQRT_2() -> Self { Self::FRAC_1_SQRT_2 } #[inline] fn FRAC_2_PI() -> Self { Self::FRAC_2_PI } #[inline] fn FRAC_2_SQRT_PI() -> Self { Self::FRAC_2_SQRT_PI } #[inline] fn FRAC_PI_2() -> Self { Self::FRAC_PI_2 } #[inline] fn FRAC_PI_3() -> Self { Self::FRAC_PI_3 } #[inline] fn FRAC_PI_4() -> Self { Self::FRAC_PI_4 } #[inline] fn FRAC_PI_6() -> Self { Self::FRAC_PI_6 } #[inline] fn FRAC_PI_8() -> Self { Self::FRAC_PI_8 } #[inline] fn LN_10() -> Self { Self::LN_10 } #[inline] fn LN_2() -> Self { Self::LN_2 } #[inline] fn LOG10_E() -> Self { Self::LOG10_E } #[inline] fn LOG2_E() -> Self { Self::LOG2_E } #[inline] fn PI() -> Self { Self::PI } #[inline] fn SQRT_2() -> Self { Self::SQRT_2 } #[inline] fn LOG10_2() -> Self where Self: Sized + Div, { Self::LOG10_2 } #[inline] fn LOG2_10() -> Self where Self: Sized + Div, { Self::LOG2_10 } } impl Bounded for bf16 { #[inline] fn min_value() -> Self { bf16::MIN } #[inline] fn max_value() -> Self { bf16::MAX } } impl AsPrimitive for bf16 { #[inline] fn as_(self) -> bf16 { self } } macro_rules! impl_as_primitive_to_bf16 { ($ty:ty, $meth:ident) => { impl AsPrimitive<$ty> for bf16 { #[inline] fn as_(self) -> $ty { self.$meth().as_() } } }; } impl_as_primitive_to_bf16!(i64, to_f32); impl_as_primitive_to_bf16!(u64, to_f32); impl_as_primitive_to_bf16!(i8, to_f32); impl_as_primitive_to_bf16!(u8, to_f32); impl_as_primitive_to_bf16!(i16, to_f32); impl_as_primitive_to_bf16!(u16, to_f32); impl_as_primitive_to_bf16!(i32, to_f32); impl_as_primitive_to_bf16!(u32, to_f32); impl_as_primitive_to_bf16!(isize, to_f32); impl_as_primitive_to_bf16!(usize, to_f32); impl_as_primitive_to_bf16!(f32, to_f32); impl_as_primitive_to_bf16!(f64, to_f64); macro_rules! impl_as_primitive_bf16_from { ($ty:ty, $meth:ident) => { impl AsPrimitive for $ty { #[inline] fn as_(self) -> bf16 { bf16::$meth(self.as_()) } } }; } impl_as_primitive_bf16_from!(i64, from_f32); impl_as_primitive_bf16_from!(u64, from_f32); impl_as_primitive_bf16_from!(i8, from_f32); impl_as_primitive_bf16_from!(u8, from_f32); impl_as_primitive_bf16_from!(i16, from_f32); impl_as_primitive_bf16_from!(u16, from_f32); impl_as_primitive_bf16_from!(i32, from_f32); impl_as_primitive_bf16_from!(u32, from_f32); impl_as_primitive_bf16_from!(isize, from_f32); impl_as_primitive_bf16_from!(usize, from_f32); impl_as_primitive_bf16_from!(f32, from_f32); impl_as_primitive_bf16_from!(f64, from_f64);