Struct MultiDegreeElement 

pub struct MultiDegreeElement<const N: usize> {
    degree: MultiDegree<N>,
    vec: FpVector,
}

An element of a graded vector space. Most commonly used to index elements of spectral sequences.

Fields

degree: MultiDegree<N>

Degree of the element

vec: FpVector

Representing vector

Implementations

impl<const N: usize> MultiDegreeElement<N>

pub fn new(degree: MultiDegree<N>, vec: FpVector) -> Self

pub fn s(&self) -> i32

pub fn t(&self) -> i32

pub fn degree(&self) -> MultiDegree<N>

pub fn n(&self) -> i32

pub fn x(&self) -> i32

pub fn y(&self) -> i32

pub fn vec(&self) -> FpSlice<'_>

pub fn into_vec(self) -> FpVector

pub fn to_basis_string(&self) -> String

Get the string representation of the element as a linear combination of generators. For example, an element in bidegree (n,s) with vector [0,2,1] will be printed as `2 x_(n, s,

1. • x_(n, s, 2)`.

Trait Implementations

impl<const N: usize> Clone for MultiDegreeElement<N>

fn clone(&self) -> MultiDegreeElement<N>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<const N: usize> Debug for MultiDegreeElement<N>

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

Formats the value using the given formatter.

impl<'de, const N: usize> Deserialize<'de> for MultiDegreeElement<N>

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<const N: usize> Display for MultiDegreeElement<N>

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

let vec = FpVector::from_slice(P2, &[1, 0, 1]);

let el3 = MultiDegreeElement::new(MultiDegree::new([1, 2, 3]), vec.clone());

assert_eq!(format!("{el3}"), String::from("(1, 2, 3, [1, 0, 1])"));
assert_eq!(format!("{el3:#}"), String::from("(1,2,3)[101]"));

let el0 = MultiDegreeElement::new(MultiDegree::new([]), vec);

assert_eq!(format!("{el0}"), String::from("([1, 0, 1])"));
assert_eq!(format!("{el0:#}"), String::from("()[101]"));

impl<const N: usize> Hash for MultiDegreeElement<N>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<const N: usize> PartialEq for MultiDegreeElement<N>

fn eq(&self, other: &MultiDegreeElement<N>) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<const N: usize> Serialize for MultiDegreeElement<N>

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<const N: usize> TryFrom<MultiDegreeElement<N>> for MultiDegreeGenerator<N>

type Error = ()

The type returned in the event of a conversion error.

fn try_from(value: MultiDegreeElement<N>) -> Result<Self, Self::Error>

Performs the conversion.

impl<const N: usize> Eq for MultiDegreeElement<N>

impl<const N: usize> StructuralPartialEq for MultiDegreeElement<N>