Struct ChainComplex 

pub struct ChainComplex {
    pub boundary: Vec<Vec<Vec<i32>>>,
    pub ranks: Vec<usize>,
}

An abstract chain complex (C_k, ∂_k) over the integers.

Stores the boundary matrices for each dimension and provides ranks and homology rank bounds.

Fields

boundary: Vec<Vec<Vec<i32>>>

Boundary matrices: boundary[k] = ∂{k+1} : C{k+1} → C_k.

ranks: Vec<usize>

Chain group ranks (dimensions) indexed by k.

Implementations

impl ChainComplex

pub fn from_matrices(matrices: Vec<Vec<Vec<i32>>>) -> Self

Create a chain complex from a sequence of boundary matrices.

matrices[k] is the boundary operator ∂_{k+1}, stored as a matrix of shape (rank_k) × (rank_{k+1}).

pub fn from_cw_complex(cw: &CwComplex) -> Self

Extract chain complex from a CW complex up to dimension max_dim.

pub fn length(&self) -> usize

Number of chain groups in this complex.

pub fn rank(&self, k: usize) -> usize

Rank of C_k.

Trait Implementations

impl Clone for ChainComplex

fn clone(&self) -> ChainComplex

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for ChainComplex

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

Formats the value using the given formatter.

impl Default for ChainComplex

fn default() -> ChainComplex

Returns the “default value” for a type.