Struct SimplicialComplex 

pub struct SimplicialComplex { /* private fields */ }

Simplicial complex for topological data analysis

A simplicial complex is a collection of simplices (points, edges, triangles, etc.) that are “glued together” in a consistent way.

Implementations

impl SimplicialComplex

pub fn new() -> Self

Create a new empty simplicial complex

pub fn add_simplex(&mut self, vertices: &[EntityId])

Add a simplex and all its faces to the complex

pub fn get_simplices(&self, dimension: usize) -> Vec<Simplex>

Get all simplices of a given dimension

pub fn count_simplices(&self, dimension: usize) -> usize

Get the number of simplices of a given dimension

pub fn betti_number(&self, dimension: usize) -> usize

Compute Betti number for a given dimension

Betti numbers are topological invariants:

• β₀ = number of connected components
• β₁ = number of 1-dimensional holes (loops)
• β₂ = number of 2-dimensional holes (voids)

This is a simplified stub implementation.

pub fn filtration(&self, _epsilon_range: (f32, f32)) -> Filtration

Build filtration (nested sequence of complexes) for persistent homology

This is a stub - a full implementation would assign filtration values to simplices based on some metric (e.g., edge weights, distances).

pub fn persistent_homology( &self, _dimension: usize, _epsilon_range: (f32, f32), ) -> PersistenceDiagram

Compute persistent homology (stub implementation)

Returns a persistence diagram showing birth and death of topological features. This is a placeholder - full implementation requires:

• Building a filtration
• Constructing boundary matrices
• Column reduction algorithm

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.

impl<'de> Deserialize<'de> for SimplicialComplex

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Serialize for SimplicialComplex

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.