Struct FreeModuleFiniteNumberedBasisLinearTransformation

pub struct FreeModuleFiniteNumberedBasisLinearTransformation<Ring: RingSignature, RingB: BorrowedStructure<Ring>, RingDomainB: BorrowedStructure<Ring>, RingRangeB: BorrowedStructure<Ring>, const INJECTIVE: bool, const SURJECTIVE: bool> { /* private fields */ }

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Trait Implementations§

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🔬This is a nightly-only experimental API. (clone_to_uninit)

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use malachite_base::strings::ToDebugString;

assert_eq!([1, 2, 3].to_debug_string(), "[1, 2, 3]");
assert_eq!(
    [vec![2, 3], vec![], vec![4]].to_debug_string(),
    "[[2, 3], [], [4]]"
);
assert_eq!(Some(5).to_debug_string(), "Some(5)");

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The type returned in the event of a conversion error.

Performs the conversion.

The type returned in the event of a conversion error.

Performs the conversion.

FreeModuleFiniteNumberedBasisLinearTransformation

Struct FreeModuleFiniteNumberedBasisLinearTransformation Copy item path

Implementations§

impl<Ring: BezoutDomainSignature, RingB: BorrowedStructure<Ring>, RingDomainB: BorrowedStructure<Ring>, RingRangeB: BorrowedStructure<Ring>, const INJECTIVE: bool, const SURJECTIVE: bool> FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, INJECTIVE, SURJECTIVE>

pub fn new( ring: RingB, domain: FinitelyFreeModuleStructure<Ring, RingDomainB>, range: FinitelyFreeModuleStructure<Ring, RingRangeB>, matrix: Matrix<Ring::Set>, ) -> Self

impl<Ring: BezoutDomainSignature, RingB: BorrowedStructure<Ring>, RingDomainB: BorrowedStructure<Ring>, RingRangeB: BorrowedStructure<Ring>> FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, false, false>

pub fn construct( ring: RingB, domain: FinitelyFreeModuleStructure<Ring, RingDomainB>, range: FinitelyFreeModuleStructure<Ring, RingRangeB>, basis_image: impl Fn(usize) -> Vec<Ring::Set>, ) -> Self

impl<Ring: BezoutDomainSignature, RingB: BorrowedStructure<Ring>, RingDomainB: BorrowedStructure<Ring>, RingRangeB: BorrowedStructure<Ring>> FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, true, false>

pub fn construct_injective( ring: RingB, domain: FinitelyFreeModuleStructure<Ring, RingDomainB>, range: FinitelyFreeModuleStructure<Ring, RingRangeB>, basis_image: impl Fn(usize) -> Vec<Ring::Set>, ) -> Self

impl<Ring: BezoutDomainSignature, RingB: BorrowedStructure<Ring>, RingDomainB: BorrowedStructure<Ring>, RingRangeB: BorrowedStructure<Ring>> FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, false, true>

pub fn construct_surjective( ring: RingB, domain: FinitelyFreeModuleStructure<Ring, RingDomainB>, range: FinitelyFreeModuleStructure<Ring, RingRangeB>, basis_image: impl Fn(usize) -> Vec<Ring::Set>, ) -> Self

impl<Ring: BezoutDomainSignature, RingB: BorrowedStructure<Ring>, RingDomainB: BorrowedStructure<Ring>, RingRangeB: BorrowedStructure<Ring>> FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, true, true>

pub fn construct_bijective( ring: RingB, domain: FinitelyFreeModuleStructure<Ring, RingDomainB>, range: FinitelyFreeModuleStructure<Ring, RingRangeB>, basis_image: impl Fn(usize) -> Vec<Ring::Set>, ) -> Self

Trait Implementations§

fn preimage(&self, y: &Vec<Ring::Set>) -> Vec<Ring::Set>

fn clone( &self, ) -> FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, INJECTIVE, SURJECTIVE>

fn clone_from(&mut self, source: &Self)

fn fmt(&self, f: &mut Formatter<'_>) -> Result

fn image(&self, x: &Vec<Ring::Set>) -> Vec<Ring::Set>

fn try_preimage(&self, y: &Vec<Ring::Set>) -> Option<Vec<Ring::Set>>

fn domain(&self) -> &FinitelyFreeModuleStructure<Ring, RingDomainB>

fn range(&self) -> &FinitelyFreeModuleStructure<Ring, RingRangeB>

Auto Trait Implementations§

impl<Ring, RingB, RingDomainB, RingRangeB, const INJECTIVE: bool, const SURJECTIVE: bool> Freeze for FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, INJECTIVE, SURJECTIVE>where RingB: Freeze, RingDomainB: Freeze, RingRangeB: Freeze,

impl<Ring, RingB, RingDomainB, RingRangeB, const INJECTIVE: bool, const SURJECTIVE: bool> Send for FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, INJECTIVE, SURJECTIVE>

impl<Ring, RingB, RingDomainB, RingRangeB, const INJECTIVE: bool, const SURJECTIVE: bool> Sync for FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, INJECTIVE, SURJECTIVE>

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impl<T> Any for Twhere T: 'static + ?Sized,

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impl<T> CloneToUninit for Twhere T: Clone,

unsafe fn clone_to_uninit(&self, dest: *mut u8)

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§Examples

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impl<Domain, Range, M, BM> BorrowedMorphism<Domain, Range, M> for BMwhere Domain: Signature, Range: Signature, M: Morphism<Domain, Range>, BM: Borrow<M> + Clone + Debug + Send + Sync,

impl<S, BS> BorrowedSet<S> for BSwhere BS: Borrow<S> + Clone + Debug + Send + Sync,

Struct FreeModuleFiniteNumberedBasisLinearTransformation

impl<Ring, RingB, RingDomainB, RingRangeB, const INJECTIVE: bool, const SURJECTIVE: bool> Freeze for FreeModuleFiniteNumberedBasisLinearTransformation<Ring, RingB, RingDomainB, RingRangeB, INJECTIVE, SURJECTIVE>
where RingB: Freeze, RingDomainB: Freeze, RingRangeB: Freeze,

impl<T> Any for T
where T: 'static + ?Sized,

impl<T> Borrow<T> for T
where T: ?Sized,

impl<T> BorrowMut<T> for T
where T: ?Sized,

impl<T> CloneToUninit for T
where T: Clone,

impl<T, U> ExactFrom<T> for U
where U: TryFrom<T>,

impl<T, U> ExactInto<U> for T
where U: ExactFrom<T>,

impl<T, U> Into<U> for T
where U: From<T>,

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

impl<T, U> OverflowingInto<U> for T
where U: OverflowingFrom<T>,

impl<T, U> RoundingInto<U> for T
where U: RoundingFrom<T>,

impl<T, U> SaturatingInto<U> for T
where U: SaturatingFrom<T>,

impl<T> ToDebugString for T
where T: Debug,

impl<T> ToOwned for T
where T: Clone,

impl<T, U> TryFrom<U> for T
where U: Into<T>,

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

impl<V, T> VZip<V> for T
where V: MultiLane<T>,

impl<T, U> WrappingInto<U> for T
where U: WrappingFrom<T>,

impl<Domain, Range, M, BM> BorrowedMorphism<Domain, Range, M> for BM
where Domain: Signature, Range: Signature, M: Morphism<Domain, Range>, BM: Borrow<M> + Clone + Debug + Send + Sync,

impl<S, BS> BorrowedSet<S> for BS
where BS: Borrow<S> + Clone + Debug + Send + Sync,

impl<X, T> Endomorphism<X> for T
where X: Signature, T: Morphism<X, X>,

impl<X, T> Permutation<X> for T
where X: SetSignature, T: BijectiveFunction<X, X>,