Struct SignatureSpec 

pub struct SignatureSpec {
    pub basis: Vec<BasisVector>,
    pub p: usize,
    pub q: usize,
    pub r: usize,
}

Metric signature specification.

Defines the basis vectors and their metric (how they square).

Fields

basis: Vec<BasisVector>

All basis vectors with their properties.

p: usize

Number of positive-square basis vectors.

q: usize

Number of negative-square basis vectors.

r: usize

Number of zero-square (degenerate) basis vectors.

Implementations

impl SignatureSpec

pub fn dim(&self) -> usize

Total dimension (number of basis vectors).

pub fn num_blades(&self) -> usize

Total number of blades (2^dim).

pub fn positive_indices(&self) -> impl Iterator<Item = usize> + '_

Returns indices of basis vectors that square to +1 (positive metric).

pub fn metrics_by_index(&self) -> Vec<i8>

Returns a vector of metric values indexed by basis index.

This is useful for creating an Algebra with the correct per-basis metrics:

let metrics = signature.metrics_by_index();
let algebra = Algebra::from_metrics(metrics);

pub fn negative_indices(&self) -> impl Iterator<Item = usize> + '_

Returns indices of basis vectors that square to -1 (negative metric).

pub fn degenerate_indices(&self) -> impl Iterator<Item = usize> + '_

Returns indices of basis vectors that square to 0 (degenerate/null).

In PGA, this is typically the e0 basis (projective origin).

pub fn is_degenerate(&self) -> bool

Returns true if this algebra has a degenerate metric (r > 0).

Algebras with degenerate metrics (like PGA) have different normalization behavior and require bulk/weight decomposition.

pub fn is_indefinite(&self) -> bool

Returns true if this algebra has an indefinite metric (q > 0).

Algebras with indefinite metrics (like Minkowski) can have timelike, spacelike, and lightlike vectors.

pub fn signature_type_name(&self) -> String

Returns the signature type name derived from (p, q, r).

This generates a generic name like Cl3_0_1 instead of algebra-specific names like “Projective3”.

Trait Implementations

impl Clone for SignatureSpec

fn clone(&self) -> SignatureSpec

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for SignatureSpec

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

Formats the value using the given formatter.