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ChainComplex

oxiphysics_geometry::cell_complex

Struct ChainComplex 

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pub struct ChainComplex {
    pub boundary: Vec<Vec<Vec<i32>>>,
    pub ranks: Vec<usize>,
}
Expand description

An abstract chain complex (C_k, ∂_k) over the integers.

Stores the boundary matrices for each dimension and provides ranks and homology rank bounds.

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§boundary: Vec<Vec<Vec<i32>>>

Boundary matrices: boundary[k] = ∂{k+1} : C{k+1} → C_k.

§ranks: Vec<usize>

Chain group ranks (dimensions) indexed by k.

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impl ChainComplex

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pub fn from_matrices(matrices: Vec<Vec<Vec<i32>>>) -> Self

Create a chain complex from a sequence of boundary matrices.

matrices[k] is the boundary operator ∂_{k+1}, stored as a matrix of shape (rank_k) × (rank_{k+1}).

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pub fn from_cw_complex(cw: &CwComplex) -> Self

Extract chain complex from a CW complex up to dimension max_dim.

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pub fn length(&self) -> usize

Number of chain groups in this complex.

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

Rank of C_k.

Trait Implementations§

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impl Clone for ChainComplex

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fn clone(&self) -> ChainComplex

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl Debug for ChainComplex

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

Formats the value using the given formatter. Read more
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impl Default for ChainComplex

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fn default() -> ChainComplex

Returns the “default value” for a type. Read more

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🔬This is a nightly-only experimental API. (clone_to_uninit)
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