--- a/src/convex.rs Wed Sep 03 09:16:03 2025 -0500 +++ b/src/convex.rs Wed Sep 03 09:52:30 2025 -0500 @@ -17,7 +17,7 @@ /// /// TODO: should constrain `Mapping::Codomain` to implement a partial order, /// but this makes everything complicated with little benefit. -pub trait ConvexMapping<Domain: Normed<F>, F: Num = f64>: Mapping<Domain, Codomain = F> { +pub trait ConvexMapping<Domain: Space, F: Num = f64>: Mapping<Domain, Codomain = F> { /// Returns (a lower estimate of) the factor of strong convexity in the norm of `Domain`. fn factor_of_strong_convexity(&self) -> F { F::ZERO @@ -42,7 +42,7 @@ /// but a `Preconjugable` mapping has to be convex. pub trait Preconjugable<Domain, Predual, F: Num = f64>: ConvexMapping<Domain, F> where - Domain: Normed<F>, + Domain: Space, Predual: HasDual<F>, { type Preconjugate<'a>: Mapping<Predual, Codomain = F> @@ -88,7 +88,7 @@ impl<Domain, E, F> ConvexMapping<Domain, F> for NormMapping<F, E> where - Domain: Normed<F>, + Domain: Space, E: NormExponent, F: Float, Self: Mapping<Domain, Codomain = F>, @@ -97,7 +97,8 @@ impl<F, E, Domain> Mapping<Domain> for NormConstraint<F, E> where - Domain: Space + Norm<E, F>, + Domain: Space, + Domain::OwnedSpace: Norm<E, F>, F: Float, E: NormExponent, { @@ -114,7 +115,7 @@ impl<Domain, E, F> ConvexMapping<Domain, F> for NormConstraint<F, E> where - Domain: Normed<F>, + Domain: Space, E: NormExponent, F: Float, Self: Mapping<Domain, Codomain = F>, @@ -125,7 +126,8 @@ where E: HasDualExponent, F: Float, - Domain: HasDual<F> + Norm<E, F> + Normed<F>, + Domain: HasDual<F>, + Domain::OwnedSpace: Norm<E, F>, <Domain as HasDual<F>>::DualSpace: Norm<E::DualExp, F>, { type Conjugate<'a> @@ -143,7 +145,8 @@ C: Constant<Type = F>, E: HasDualExponent, F: Float, - Domain: HasDual<F> + Norm<E, F> + Space, + Domain: HasDual<F>, + Domain::OwnedSpace: Norm<E, F>, <Domain as HasDual<F>>::DualSpace: Norm<E::DualExp, F>, { type Conjugate<'a> @@ -161,7 +164,8 @@ impl<Domain, E, F> Prox<Domain> for NormConstraint<F, E> where - Domain: Space + Norm<E, F>, + Domain: Space, + Domain::OwnedSpace: Norm<E, F>, E: NormExponent, F: Float, NormProjection<F, E>: Mapping<Domain, Codomain = Domain::OwnedSpace>, @@ -201,8 +205,8 @@ impl<F, E, Domain> Mapping<Domain> for NormProjection<F, E> where - Domain: Normed<F> + Projection<F, E>, - Domain::OwnedSpace: ClosedSpace, + Domain: Space, + Domain::OwnedSpace: ClosedSpace + Projection<F, E>, F: Float, E: NormExponent, { @@ -232,7 +236,7 @@ } } -impl<Domain: Normed<F>, F: Float> ConvexMapping<Domain, F> for Zero<Domain, F> {} +impl<Domain: Space, F: Float> ConvexMapping<Domain, F> for Zero<Domain, F> {} impl<Domain: HasDual<F>, F: Float> Conjugable<Domain, F> for Zero<Domain, F> { type Conjugate<'a> @@ -249,7 +253,7 @@ impl<Domain, Predual, F: Float> Preconjugable<Domain, Predual, F> for Zero<Domain, F> where Domain: Normed<F>, - Predual: HasDual<F>, + Predual: HasDual<F, Owned = Predual>, { type Preconjugate<'a> = ZeroIndicator<Predual, F> @@ -284,7 +288,12 @@ } } -impl<Domain: Normed<F>, F: Float> Mapping<Domain> for ZeroIndicator<Domain, F> { +impl<Domain, F> Mapping<Domain> for ZeroIndicator<Domain, F> +where + F: Float, + Domain: Space, + Domain::OwnedSpace: Normed<F>, +{ type Codomain = F; /// Compute the value of `self` at `x`. @@ -293,13 +302,21 @@ } } -impl<Domain: Normed<F>, F: Float> ConvexMapping<Domain, F> for ZeroIndicator<Domain, F> { +impl<Domain, F: Float> ConvexMapping<Domain, F> for ZeroIndicator<Domain, F> +where + Domain: Space, + Domain::OwnedSpace: Normed<F>, +{ fn factor_of_strong_convexity(&self) -> F { F::INFINITY } } -impl<Domain: HasDual<F>, F: Float> Conjugable<Domain, F> for ZeroIndicator<Domain, F> { +impl<Domain, F: Float> Conjugable<Domain, F> for ZeroIndicator<Domain, F> +where + Domain: HasDual<F>, + Domain::Owned: Normed<F>, +{ type Conjugate<'a> = Zero<Domain::DualSpace, F> where @@ -313,7 +330,8 @@ impl<Domain, Predual, F: Float> Preconjugable<Domain, Predual, F> for ZeroIndicator<Domain, F> where - Domain: Normed<F>, + Domain: Space, + Domain::OwnedSpace: Normed<F>, Predual: HasDual<F>, { type Preconjugate<'a>