Struct GlobalSection 

pub struct GlobalSection {
    pub values: Vec<Vec<f64>>,
    pub is_exact: bool,
    pub residual: f64,
}

A (possibly approximate) global section of a cellular sheaf.

A global section assigns a vector to each stalk such that restriction maps are satisfied on every edge. Equivalently, it lies in the kernel of the sheaf Laplacian.

Fields

values: Vec<Vec<f64>>

Stalk values at each node.

is_exact: bool

True if this is an exact global section (residual ≈ 0).

residual: f64

The residual ||L_F x||.

Implementations

impl GlobalSection

pub fn new( sheaf: &CellularSheaf, values: Vec<Vec<f64>>, tol: f64, ) -> Result<Self, SheafError>

Build a section from per-node values and check exactness.

pub fn find( sheaf: &CellularSheaf, max_iter: usize, tol: f64, ) -> Result<Self, SheafError>

Try to find a nontrivial global section by solving L_F x = 0 using inverse iteration toward the smallest eigenvalue.

pub fn flatten(&self) -> Vec<f64>

Flatten per-node values into a single vector.

Trait Implementations

impl Clone for GlobalSection

fn clone(&self) -> GlobalSection

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for GlobalSection

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for GlobalSection

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

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Serialize for GlobalSection

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

where __S: Serializer,

Serialize this value into the given Serde serializer.