Struct DualComplex 

pub struct DualComplex {
    pub primal: CwComplex,
    pub ambient_dim: usize,
}

Dual cell decomposition of a CW complex.

Each k-cell of the primal complex corresponds to an (n-k)-cell of the dual. For a 2-complex: primal vertices ↔ dual faces, primal edges ↔ dual edges, primal faces ↔ dual vertices.

Fields

primal: CwComplex

Primal complex.

ambient_dim: usize

Ambient dimension n.

Implementations

impl DualComplex

pub fn new(primal: CwComplex, ambient_dim: usize) -> Self

Create the dual of a CW complex embedded in n-dimensional space.

pub fn dual_dim(&self, primal_dim: usize) -> usize

Dimension of the dual cell corresponding to a primal k-cell: n - k.

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

Number of dual k-cells = number of primal (n-k)-cells.

pub fn euler_characteristic(&self) -> i64

Euler characteristic of the dual (equals that of the primal).

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

Hodge star: maps a k-cochain to an (n-k)-chain (dimension count). Returns the number of (n-k)-cells.

pub fn triangle_circumcenter( p0: [f64; 3], p1: [f64; 3], p2: [f64; 3], ) -> [f64; 3]

Voronoi dual: given a list of site positions, return dual vertex (circumcenter) for each primal face (triangle).

For a triangle with vertices p0, p1, p2, the circumcenter is the Voronoi vertex of the dual.

Trait Implementations

impl Clone for DualComplex

fn clone(&self) -> DualComplex

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for DualComplex

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

Formats the value using the given formatter.