Struct CellularHomology 

pub struct CellularHomology {
    pub betti: Vec<usize>,
    pub torsion: Vec<Vec<i32>>,
    pub euler_char: i64,
}

Cellular homology computation via Smith Normal Form.

Computes Betti numbers β_k and torsion coefficients from the boundary operators of a CW complex.

Fields

betti: Vec<usize>

Betti numbers β_0, β_1, β_2, …

torsion: Vec<Vec<i32>>

Torsion coefficients (elementary divisors > 1) per dimension.

euler_char: i64

Euler characteristic χ = Σ (-1)^k β_k.

Implementations

impl CellularHomology

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

Compute cellular homology from a CW complex.

pub fn beta0(&self) -> usize

Zeroth Betti number β₀ = number of connected components.

pub fn beta1(&self) -> usize

First Betti number β₁ = number of independent loops.

pub fn beta2(&self) -> usize

Second Betti number β₂.

Trait Implementations

impl Clone for CellularHomology

fn clone(&self) -> CellularHomology

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for CellularHomology

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

Formats the value using the given formatter.