Struct qsym2 :: group :: EagerGroup Copy item path

impl<T> EagerGroup<T>
where T: Mul<Output = T> + Inv<Output = T> + Hash + Eq + Clone + Sync + Debug + FiniteOrder, for<'a, 'b> &'b T: Mul<&'a T, Output = T>,

pub fn new(name: &str, elements: Vec<T>) -> Result<Self, Error>

Constructs an abstract group from its elements and calculate its Cayley table.

§Arguments

name - A name to be given to the abstract group.
elements - A vector of all group elements.

§Returns

An abstract group with its Cayley table constructed.

§Panics

Panics if the group fails to be constructed.

§Errors

Errors if the Cayley table fails to be constructed.

pub fn new_no_ctb(name: &str, elements: Vec<T>) -> Self

Constructs an abstract group from its elements but without calculating its Cayley table.

§Arguments

name - A name to be given to the abstract group.
elements - A vector of all group elements.

§Returns

An abstract group without its Cayley table constructed.

pub fn from_iter( name: &str, elements_iter: impl Iterator<Item = T>, ) -> Result<Self, Error>

Constructs an abstract group from an iterator of its elements and calculate its Cayley table.

§Arguments

name - A name to be given to the abstract group.
elements_iter - An iterator yielding group elements.

§Returns

An abstract group with its Cayley table constructed.

§Panics

Panics if the group fails to be constructed.

§Errors

Errors if the Cayley table fails to be constructed.

pub fn from_iter_no_ctb( name: &str, elements_iter: impl Iterator<Item = T>, ) -> Self

Constructs an abstract group from an iterator of its elements but without calculating its Cayley table.

§Arguments

name - A name to be given to the abstract group.
elements_iter - An iterator yielding group elements.

§Panics

Panics if the group fails to be constructed.

§Returns

An abstract group without its Cayley table constructed.

Trait Implementations§

impl<T> Clone for EagerGroup<T>
where T: Mul<Output = T> + Inv<Output = T> + Hash + Eq + Clone + Sync + Debug + FiniteOrder + Clone,

fn clone(&self) -> EagerGroup<T>

Returns a copy of the value. Read more

1.0.0 · source§

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

Performs copy-assignment from source. Read more

impl<'de, T> Deserialize<'de> for EagerGroup<T>
where T: Mul<Output = T> + Inv<Output = T> + Hash + Eq + Clone + Sync + Debug + FiniteOrder + Deserialize<'de>,

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more

impl<T> GroupProperties for EagerGroup<T>
where T: Mul<Output = T> + Inv<Output = T> + Hash + Eq + Clone + Sync + Debug + FiniteOrder, for<'a, 'b> &'b T: Mul<&'a T, Output = T>,

type GroupElement = T

The type of the elements in the group.

type ElementCollection = IndexSet<T>

fn name(&self) -> String

Returns the name of the group.

fn finite_subgroup_name(&self) -> Option<&String>

Returns the finite subgroup name of this group, if any.

fn get_index(&self, index: usize) -> Option<Self::GroupElement>

Given an index, returns the element associated with it, or None if the index is out of range.

fn get_index_of(&self, g: &Self::GroupElement) -> Option<usize>

Given an element, returns its index in the group, or None if the element does not exist in the group.

fn contains(&self, g: &Self::GroupElement) -> bool

Checks if an element is a member of the group.

fn elements(&self) -> &Self::ElementCollection

Returns an iterable collection of the elements in the group.

fn is_abelian(&self) -> bool

Checks if this group is abelian.

fn order(&self) -> usize

Returns the order of the group.

fn cayley_table(&self) -> Option<&Array2<usize>>

Returns the Cayley table of the group, if any.

impl<T> Serialize for EagerGroup<T>
where T: Mul<Output = T> + Inv<Output = T> + Hash + Eq + Clone + Sync + Debug + FiniteOrder + Serialize,

fn serialize<S>(&self, serializer: S) -> Result<S::Ok, S::Error>
where S: Serializer,

Serialize this value into the given Serde serializer. Read more

Auto Trait Implementations§

impl<T> UnwindSafe for EagerGroup<T>
where T: UnwindSafe,

Blanket Implementations§

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

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more

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where T: ?Sized,

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Immutably borrows from an owned value. Read more

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more

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

default unsafe fn clone_to_uninit(&self, dst: *mut T)

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

Performs copy-assignment from self to dst. Read more

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fn conv<T>(self) -> T
where Self: Into<T>,

Converts self into T using Into<T>. Read more

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where Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.

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where Self: Display,

Causes self to use its Display implementation when Debug-formatted.

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where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.

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where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.

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Causes self to use its Octal implementation when Debug-formatted.

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where Self: Pointer,

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where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.

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where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.

fn fmt_list(self) -> FmtList<Self>
where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more

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Returns the argument unchanged.

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more

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Calls U::from(self).

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const ALIGN: usize = _

The alignment of pointer.

type Init = T

The type for initializers.

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more

unsafe fn deref<'a>(ptr: usize) -> &'a T

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type Output = T

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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Checks if self is actually part of its subset T (and can be converted to it).

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Calls .tap() only in debug builds, and is erased in release builds.

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