feanor_math::algorithms::splitting_field

Struct NumberFieldHom

pub struct NumberFieldHom<R1, Impl1, I1, R2, Impl2, I2>where
    R1: RingStore<Type = NumberFieldBase<Impl1, I1>>,
    Impl1: RingStore,
    Impl1::Type: Field + FreeAlgebra,
    <Impl1::Type as RingExtension>::BaseRing: RingStore<Type = RationalFieldBase<I1>>,
    I1: RingStore,
    I1::Type: IntegerRing,
    R2: RingStore<Type = NumberFieldBase<Impl2, I2>>,
    Impl2: RingStore,
    Impl2::Type: Field + FreeAlgebra,
    <Impl2::Type as RingExtension>::BaseRing: RingStore<Type = RationalFieldBase<I2>>,
    I2: RingStore,
    I2::Type: IntegerRing,
{ /* private fields */ }

Expand description

§Availability

This API is marked as unstable and is only available when the unstable-enable crate feature is enabled. This comes with no stability guarantees, and could be changed or removed at any time.

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impl<R1, Impl1, I1, R2, Impl2, I2> Homomorphism<NumberFieldBase<Impl1, I1>, NumberFieldBase<Impl2, I2>> for NumberFieldHom<R1, Impl1, I1, R2, Impl2, I2>
where R1: RingStore<Type = NumberFieldBase<Impl1, I1>>, Impl1: RingStore, Impl1::Type: Field + FreeAlgebra, <Impl1::Type as RingExtension>::BaseRing: RingStore<Type = RationalFieldBase<I1>>, I1: RingStore, I1::Type: IntegerRing, R2: RingStore<Type = NumberFieldBase<Impl2, I2>>, Impl2: RingStore, Impl2::Type: Field + FreeAlgebra, <Impl2::Type as RingExtension>::BaseRing: RingStore<Type = RationalFieldBase<I2>>, I2: RingStore, I2::Type: IntegerRing,

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fn map( &self, x: <NumberFieldBase<Impl1, I1> as RingBase>::Element, ) -> <NumberFieldBase<Impl2, I2> as RingBase>::Element

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fn map_ref( &self, x: &<NumberFieldBase<Impl1, I1> as RingBase>::Element, ) -> <NumberFieldBase<Impl2, I2> as RingBase>::Element

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fn mul_assign_map(&self, lhs: &mut Codomain::Element, rhs: Domain::Element)

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fn mul_assign_ref_map(&self, lhs: &mut Codomain::Element, rhs: &Domain::Element)

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fn mul_map( &self, lhs: Codomain::Element, rhs: Domain::Element, ) -> Codomain::Element

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fn mul_ref_fst_map( &self, lhs: &Codomain::Element, rhs: Domain::Element, ) -> Codomain::Element

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fn mul_ref_snd_map( &self, lhs: Codomain::Element, rhs: &Domain::Element, ) -> Codomain::Element

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fn mul_ref_map( &self, lhs: &Codomain::Element, rhs: &Domain::Element, ) -> Codomain::Element

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fn compose<F, PrevDomain: ?Sized + RingBase>( self, prev: F, ) -> ComposedHom<PrevDomain, Domain, Codomain, F, Self>
where Self: Sized, F: Homomorphism<PrevDomain, Domain>,

Auto Trait Implementations§

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impl<R1, Impl1, I1, R2, Impl2, I2> Freeze for NumberFieldHom<R1, Impl1, I1, R2, Impl2, I2>
where <<Impl2 as RingStore>::Type as RingExtension>::BaseRing: Sized, <<Impl1 as RingStore>::Type as RingExtension>::BaseRing: Sized, R1: Freeze, R2: Freeze, <<Impl2 as RingStore>::Type as RingBase>::Element: Freeze,

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impl<R1, Impl1, I1, R2, Impl2, I2> RefUnwindSafe for NumberFieldHom<R1, Impl1, I1, R2, Impl2, I2>
where <<Impl2 as RingStore>::Type as RingExtension>::BaseRing: Sized, <<Impl1 as RingStore>::Type as RingExtension>::BaseRing: Sized, R1: RefUnwindSafe, R2: RefUnwindSafe, <<Impl2 as RingStore>::Type as RingBase>::Element: RefUnwindSafe, I1: RefUnwindSafe, I2: RefUnwindSafe,

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impl<R1, Impl1, I1, R2, Impl2, I2> Send for NumberFieldHom<R1, Impl1, I1, R2, Impl2, I2>
where <<Impl2 as RingStore>::Type as RingExtension>::BaseRing: Sized, <<Impl1 as RingStore>::Type as RingExtension>::BaseRing: Sized, R1: Send, R2: Send, <<Impl2 as RingStore>::Type as RingBase>::Element: Send, I1: Send, I2: Send,

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impl<R1, Impl1, I1, R2, Impl2, I2> Sync for NumberFieldHom<R1, Impl1, I1, R2, Impl2, I2>
where <<Impl2 as RingStore>::Type as RingExtension>::BaseRing: Sized, <<Impl1 as RingStore>::Type as RingExtension>::BaseRing: Sized, R1: Sync, R2: Sync, <<Impl2 as RingStore>::Type as RingBase>::Element: Sync, I1: Sync, I2: Sync,

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impl<R1, Impl1, I1, R2, Impl2, I2> Unpin for NumberFieldHom<R1, Impl1, I1, R2, Impl2, I2>
where <<Impl2 as RingStore>::Type as RingExtension>::BaseRing: Sized, <<Impl1 as RingStore>::Type as RingExtension>::BaseRing: Sized, R1: Unpin, R2: Unpin, <<Impl2 as RingStore>::Type as RingBase>::Element: Unpin, I1: Unpin, I2: Unpin,

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impl<R1, Impl1, I1, R2, Impl2, I2> UnwindSafe for NumberFieldHom<R1, Impl1, I1, R2, Impl2, I2>
where <<Impl2 as RingStore>::Type as RingExtension>::BaseRing: Sized, <<Impl1 as RingStore>::Type as RingExtension>::BaseRing: Sized, R1: UnwindSafe, R2: UnwindSafe, <<Impl2 as RingStore>::Type as RingBase>::Element: UnwindSafe, I1: UnwindSafe, I2: UnwindSafe,

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where T: 'static + ?Sized,

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where T: ?Sized,

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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

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Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more

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