API Reference

Core

compute_reduced_triangular(filtration_by_dim)	Compute the matrices R and V in the decomposition R = DV.
compute_barcode_and_coho_reps(idxs, reduced, ...)	Compute the barcode of relative cohomology and cocycle representatives.
compute_steenrod_matrix(k, coho_reps, ...[, ...])	Compute the k-th Steenrod matrices in each dimension.
compute_steenrod_barcode(k, steenrod_matrix, ...)	Compute the Sq^k-barcode of relative cohomology.
barcodes(k, filtration[, absolute, ...])	Given a filtration, compute ordinary persistent (relative or absolute) cohomology barcodes and relative Steenrod barcodes.
rips_barcodes(X[, max_edge_length, ...])	Construct a Rips filtration and compute ordinary persistent (relative or absolute) cohomology barcodes and relative Steenrod barcodes.

Preprocessing

make_simplices(top_faces)	Return all simplices of a complex given its top ones.
make_filtration(simplices)	Return a filtration of a given complex.
sort_filtration_by_dim(filtration[, maxdim])	Organize an input filtration by dimension.
cone(simplices)	Return a filtration of the cone of a complex.
suspension(simplices)	Return a filtration of the suspension of a complex.
sphere(n)	Return a filtration of the n-sphere.
wedge(simplices_1, simplices_2)	Return a filtration of the wedge of two complexes.

Visualization

plot_diagrams(barcode, steenrod_barcode[, ...])

Plot a regular persistence barcode and a Steenrod barcode as diagrams on a common birth-death plane.