Struct CwComplex 

pub struct CwComplex {
    pub cells: HashMap<(usize, usize), CwCell>,
    pub max_dim: usize,
}

A CW complex represented by its cells, organised by dimension.

Provides access to the cellular chain complex boundary operators and the Euler characteristic.

Fields

cells: HashMap<(usize, usize), CwCell>

All cells, keyed by (dim, id).

max_dim: usize

Maximum cell dimension.

Implementations

impl CwComplex

pub fn new() -> Self

Create an empty CW complex.

pub fn add_cell(&mut self, cell: CwCell)

Add a cell to the complex.

pub fn cells_of_dim(&self, dim: usize) -> Vec<&CwCell>

Return all cells of dimension dim, sorted by id.

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

Number of cells of dimension dim.

pub fn euler_characteristic(&self) -> i64

Euler characteristic χ = Σ_k (-1)^k |C_k|.

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

Boundary operator ∂k : C_k → C{k-1} as integer matrix.

Rows index (k-1)-cells, columns index k-cells (both sorted by id). Entry [i, j] = sign of the incidence of the i-th (k-1)-cell in ∂(e_j).

pub fn standard_tetrahedron() -> Self

Build a standard simplicial tetrahedron (4 vertices, 6 edges, 4 faces, 1 3-cell).

pub fn standard_sphere_s2() -> Self

Build a standard 2-sphere (two hemispheres, equatorial circle).

pub fn standard_torus() -> Self

Build a standard torus T² as a CW complex. 1 vertex, 2 edges (a and b), 1 face.

Trait Implementations

impl Clone for CwComplex

fn clone(&self) -> CwComplex

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for CwComplex

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

Formats the value using the given formatter.

impl Default for CwComplex

fn default() -> CwComplex

Returns the “default value” for a type.