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use std::fmt::Debug; use std::ops::*; pub trait Scalar: Copy + Debug + PartialEq + PartialOrd { fn min(self, other: Self) -> Self { if self < other { self } else { other } } fn max(self, other: Self) -> Self { if self > other { self } else { other } } } impl<S: Copy + Debug + PartialEq + PartialOrd> Scalar for S {} pub trait Number: Scalar + Add<Output=Self> + AddAssign + Sub<Output=Self> + SubAssign + Mul<Output=Self> + MulAssign + Div<Output=Self> + DivAssign { const ZERO: Self; const ONE: Self; const TWO: Self; } macro_rules! impl_number { ($ty: ty, $zero: tt, $one: tt) => { impl Number for $ty { const ZERO: Self = $zero; const ONE: Self = $one; const TWO: Self = $one + $one; } } } impl_number!(i8, 0, 1); impl_number!(u8, 0, 1); impl_number!(i16, 0, 1); impl_number!(u16, 0, 1); impl_number!(i32, 0, 1); impl_number!(u32, 0, 1); impl_number!(i64, 0, 1); impl_number!(u64, 0, 1); impl_number!(i128, 0, 1); impl_number!(u128, 0, 1); impl_number!(isize, 0, 1); impl_number!(usize, 0, 1); impl_number!(f32, 0.0, 1.0); impl_number!(f64, 0.0, 1.0); pub trait Signed: Number + Neg<Output=Self> { fn abs(self) -> Self; } macro_rules! impl_signed { ($ty: ty) => { impl Signed for $ty { #[inline(always)] fn abs(self) -> Self { Self::abs(self) } } }; } impl_signed!(i8); impl_signed!(i32); impl_signed!(i64); impl_signed!(i128); impl_signed!(isize); impl_signed!(f32); impl_signed!(f64); pub trait Float: Signed + From<f32> { const HALF: Self; fn sqrt(self) -> Self; fn sin(self) -> Self; fn cos(self) -> Self; fn tan(self) -> Self; fn to_radians(self) -> Self; fn to_degrees(self) -> Self; fn powi(self, pow: i32) -> Self; } macro_rules! impl_float { ($ty: ty) => { impl Float for $ty { const HALF: Self = 0.5; #[inline(always)] fn sqrt(self) -> Self { Self::sqrt(self) } #[inline(always)] fn sin(self) -> Self { Self::sin(self) } #[inline(always)] fn cos(self) -> Self { Self::cos(self) } #[inline(always)] fn tan(self) -> Self { Self::tan(self) } #[inline(always)] fn powi(self, pow: i32) -> Self { Self::powi(self, pow) } #[inline(always)] fn to_radians(self) -> Self { Self::to_radians(self) } #[inline(always)] fn to_degrees(self) -> Self { Self::to_degrees(self) } } }; } impl_float!(f32); impl_float!(f64);