--- a/src/euclidean.rs Thu May 01 08:40:33 2025 -0500 +++ b/src/euclidean.rs Thu May 01 13:06:58 2025 -0500 @@ -2,31 +2,37 @@ Euclidean spaces. */ -use std::ops::{Mul, MulAssign, Div, DivAssign, Add, Sub, AddAssign, SubAssign, Neg}; -use crate::types::*; use crate::instance::Instance; use crate::norms::{HasDual, Reflexive}; +use crate::types::*; +use std::ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Sub, SubAssign}; /// Space (type) with Euclidean and vector space structure /// /// The type should implement vector space operations (addition, subtraction, scalar /// multiplication and scalar division) along with their assignment versions, as well /// as an inner product. -pub trait Euclidean<F : Float> : HasDual<F, DualSpace=Self> + Reflexive<F> - + Mul<F, Output=<Self as Euclidean<F>>::Output> + MulAssign<F> - + Div<F, Output=<Self as Euclidean<F>>::Output> + DivAssign<F> - + Add<Self, Output=<Self as Euclidean<F>>::Output> - + Sub<Self, Output=<Self as Euclidean<F>>::Output> - + for<'b> Add<&'b Self, Output=<Self as Euclidean<F>>::Output> - + for<'b> Sub<&'b Self, Output=<Self as Euclidean<F>>::Output> - + AddAssign<Self> + for<'b> AddAssign<&'b Self> - + SubAssign<Self> + for<'b> SubAssign<&'b Self> - + Neg<Output=<Self as Euclidean<F>>::Output> +pub trait Euclidean<F: Float = f64>: + HasDual<F, DualSpace = Self> + + Reflexive<F> + + Mul<F, Output = <Self as Euclidean<F>>::Output> + + MulAssign<F> + + Div<F, Output = <Self as Euclidean<F>>::Output> + + DivAssign<F> + + Add<Self, Output = <Self as Euclidean<F>>::Output> + + Sub<Self, Output = <Self as Euclidean<F>>::Output> + + for<'b> Add<&'b Self, Output = <Self as Euclidean<F>>::Output> + + for<'b> Sub<&'b Self, Output = <Self as Euclidean<F>>::Output> + + AddAssign<Self> + + for<'b> AddAssign<&'b Self> + + SubAssign<Self> + + for<'b> SubAssign<&'b Self> + + Neg<Output = <Self as Euclidean<F>>::Output> { - type Output : Euclidean<F>; + type Output: Euclidean<F>; // Inner product - fn dot<I : Instance<Self>>(&self, other : I) -> F; + fn dot<I: Instance<Self>>(&self, other: I) -> F; /// Calculate the square of the 2-norm, $\frac{1}{2}\\|x\\|_2^2$, where `self` is $x$. /// @@ -38,7 +44,7 @@ /// where `self` is $x$. #[inline] fn norm2_squared_div2(&self) -> F { - self.norm2_squared()/F::TWO + self.norm2_squared() / F::TWO } /// Calculate the 2-norm $‖x‖_2$, where `self` is $x$. @@ -48,33 +54,33 @@ } /// Calculate the 2-distance squared $\\|x-y\\|_2^2$, where `self` is $x$. - fn dist2_squared<I : Instance<Self>>(&self, y : I) -> F; + fn dist2_squared<I: Instance<Self>>(&self, y: I) -> F; /// Calculate the 2-distance $\\|x-y\\|_2$, where `self` is $x$. #[inline] - fn dist2<I : Instance<Self>>(&self, y : I) -> F { + fn dist2<I: Instance<Self>>(&self, y: I) -> F { self.dist2_squared(y).sqrt() } /// Projection to the 2-ball. #[inline] - fn proj_ball2(mut self, ρ : F) -> Self { + fn proj_ball2(mut self, ρ: F) -> Self { self.proj_ball2_mut(ρ); self } /// In-place projection to the 2-ball. #[inline] - fn proj_ball2_mut(&mut self, ρ : F) { + fn proj_ball2_mut(&mut self, ρ: F) { let r = self.norm2(); - if r>ρ { - *self *= ρ/r + if r > ρ { + *self *= ρ / r } } } /// Trait for [`Euclidean`] spaces with dimensions known at compile time. -pub trait StaticEuclidean<F : Float> : Euclidean<F> { +pub trait StaticEuclidean<F: Float = f64>: Euclidean<F> { /// Returns the origin fn origin() -> <Self as Euclidean<F>>::Output; }