Struct SimplicialComplex 

pub struct SimplicialComplex {
    pub simplices: Vec<Vec<Simplex>>,
    pub max_dimension: usize,
}

A finite simplicial complex with boundary operators and topological invariants.

Fields

simplices: Vec<Vec<Simplex>>

All simplices grouped by dimension.

max_dimension: usize

Maximum dimension present in the complex.

Implementations

impl SimplicialComplex

pub fn new() -> Self

Create an empty simplicial complex.

pub fn add_simplex(&mut self, s: Simplex)

Add a simplex (and all its faces recursively) to the complex.

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

Return the number of simplices of dimension k.

pub fn euler_characteristic(&self) -> i64

Compute the Euler characteristic χ = Σ (-1)^k * f_k.

Where f_k is the number of k-simplices.

pub fn boundary_matrix(&self, k: usize) -> Vec<Vec<i32>>

Compute the boundary matrix for dimension k.

Entry [i][j] is 1 if the j-th (k-1)-simplex is a face of the i-th k-simplex (with sign ignored for simplicity), else 0.

Trait Implementations

impl Clone for SimplicialComplex

fn clone(&self) -> SimplicialComplex

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SimplicialComplex

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

Formats the value using the given formatter.

impl Default for SimplicialComplex

fn default() -> Self

Returns the “default value” for a type.