Library API

Full API

Namespaces

• Namespace bats
  • Detailed Description
  • Namespaces
  • Classes
  • Functions
  • Typedefs
  • Variables

• Namespace bats::detail
  • Functions

• Namespace bats::flags
  • Classes

• Namespace bats::future
  • Classes
  • Functions

• Namespace bats::rowmajor
  • Functions

• Namespace bats::util
  • Namespaces
  • Classes
  • Functions

• Namespace bats::util::io
  • Functions

• Namespace bats::zigzag
  • Namespaces
  • Classes
  • Functions

• Namespace bats::zigzag::detail
  • Functions

Classes and Structs

• Template Struct A
  • Inheritance Relationships
    • Base Type
    • Derived Types
  • Struct Documentation

• Template Struct AbstractMetric
  • Struct Documentation

• Struct AngleDist
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Struct apparent_pairs_flag
  • Struct Documentation

• Struct bar
  • Struct Documentation

• Template Struct ChainComplex
  • Struct Documentation

• Template Struct ChainMap
  • Struct Documentation

• Struct clearing_flag
  • Struct Documentation

• Template Struct CochainComplex
  • Struct Documentation

• Struct compression_flag
  • Struct Documentation

• Struct compute_basis_flag
  • Struct Documentation

• Struct CosineDist
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Template Struct DataSet
  • Struct Documentation

• Template Struct DGLinearMap
  • Struct Documentation

• Template Struct DGVectorSpace
  • Struct Documentation

• Struct Diagram::Edge
  • Nested Relationships
  • Struct Documentation

• Struct divide_conquer_flag
  • Struct Documentation

• Struct Euclidean
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Struct extra_reduction_flag
  • Struct Documentation

• Template Struct filtered_edge
  • Struct Documentation

• Template Struct FilteredChainComplex
  • Struct Documentation

• Template Struct FilteredCochainComplex
  • Struct Documentation

• Template Struct FilteredDGVectorSpace
  • Struct Documentation

• Struct divide_conquer
  • Struct Documentation

• Struct leftward
  • Struct Documentation

• Struct rightward
  • Struct Documentation

• Struct ColumnMajor
  • Struct Documentation

• Struct ElementaryPermutation
  • Struct Documentation

• Template Struct LUFact
  • Struct Documentation

• Struct RowMajor
  • Struct Documentation

• Template Struct SimilarityTransform
  • Struct Documentation

• Struct L1Dist
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Struct LightSimplicialComplex::simplex_boundary_iterator
  • Nested Relationships
  • Struct Documentation

• Struct LInfDist
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Struct no_apparent_pairs_flag
  • Struct Documentation

• Struct no_optimization_flag
  • Struct Documentation

• Template Struct PersistencePair
  • Struct Documentation

• Template Struct ReducedDGVectorSpace
  • Struct Documentation

• Template Struct ReducedFilteredChainComplex
  • Struct Documentation

• Template Struct ReducedFilteredDGVectorSpace
  • Struct Documentation

• Struct RPAngleDist
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Struct RPCosineDist
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Struct sparse_reduction_flag
  • Struct Documentation

• Struct standard_reduction_flag
  • Struct Documentation

• Template Struct tedge
  • Struct Documentation

• Struct triangle
  • Struct Documentation

• Template Struct Update_info
  • Struct Documentation

• Struct UpdateInfo2
  • Struct Documentation

• Struct SimplexHasher
  • Struct Documentation

• Template Struct rfilt_val
  • Struct Documentation

• Template Struct ZigzagChainComplex
  • Struct Documentation

• Template Struct ZigzagPair
  • Struct Documentation

• Struct cell_ind
  • Struct Documentation

• Template Struct D
  • Inheritance Relationships
    • Base Types
  • Struct Documentation

• Template Struct E
  • Inheritance Relationships
    • Base Type
    • Derived Types
  • Struct Documentation

• Template Struct EL
  • Inheritance Relationships
    • Base Types
  • Struct Documentation

• Template Struct ELH
  • Inheritance Relationships
    • Base Types
  • Struct Documentation

• Template Struct EU
  • Inheritance Relationships
    • Base Types
  • Struct Documentation

• Template Struct EUH
  • Inheritance Relationships
    • Base Types
  • Struct Documentation

• Template Struct is_UnivariatePolynomial
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Template Struct is_UnivariatePolynomial< UnivariatePolynomial< T > >
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Template Struct L
  • Inheritance Relationships
    • Base Type
    • Derived Types
  • Struct Documentation

• Struct MAT
  • Inheritance Relationships
    • Derived Types
  • Struct Documentation

• Struct MultiGraph::Edge
  • Nested Relationships
  • Struct Documentation

• Struct MultiGraph::Node
  • Nested Relationships
  • Struct Documentation

• Template Struct nzpair
  • Struct Documentation

• Template Struct P
  • Inheritance Relationships
    • Base Type
  • Struct Documentation

• Struct SI
  • Struct Documentation

• Template Struct SmithFact
  • Struct Documentation

• Template Struct SparseFact
  • Struct Documentation

• Template Struct T
  • Inheritance Relationships
    • Base Type
    • Derived Types
  • Struct Documentation

• Template Struct U
  • Inheritance Relationships
    • Base Type
    • Derived Types
  • Struct Documentation

• Template Class AbstractField
  • Class Documentation

• Class AbstractMatrix
  • Inheritance Relationships
    • Derived Types
  • Class Documentation

• Template Class BarcodePair
  • Class Documentation

• Class CellComplex
  • Class Documentation

• Class CellularMap
  • Class Documentation

• Class CubicalComplex
  • Class Documentation

• Template Class Diagram
  • Nested Relationships
    • Nested Types
  • Class Documentation

• Template Class Filtration
  • Class Documentation

• Class CompositePermutation
  • Class Documentation

• Template Class const_strided_iterator
  • Inheritance Relationships
    • Base Type
  • Class Documentation

• Template Class Matrix
  • Class Documentation

• Template Class MatrixView
  • Class Documentation

• Class Permutation
  • Class Documentation

• Template Class range
  • Nested Relationships
    • Nested Types
  • Class Documentation

• Class range::const_iterator
  • Nested Relationships
  • Inheritance Relationships
    • Base Type
  • Class Documentation

• Template Class Span
  • Class Documentation

• Template Class strided_iterator
  • Inheritance Relationships
    • Base Type
  • Class Documentation

• Template Class VectorView
  • Class Documentation

• Template Class LightSimplicialComplex
  • Nested Relationships
    • Nested Types
  • Class Documentation

• Template Class ReducedChainComplex
  • Class Documentation

• Template Class ReducedCochainComplex
  • Class Documentation

• Class SimplicialComplex
  • Class Documentation

• Template Class SparseTrie
  • Class Documentation

• Class SimplexContainer
  • Class Documentation

• Template Class ZigzagFiltration
  • Class Documentation

• Template Class ColumnMatrix
  • Inheritance Relationships
    • Base Type
  • Class Documentation

• Template Class CSCMatrix
  • Inheritance Relationships
    • Base Type
  • Class Documentation

• Template Class ModP
  • Inheritance Relationships
    • Base Type
  • Class Documentation

• Template Class ModP< IntT, 2 >
  • Inheritance Relationships
    • Base Type
  • Class Documentation

• Template Class MorsePairing
  • Class Documentation

• Template Class MultiGraph
  • Nested Relationships
    • Nested Types
  • Class Documentation

• Template Class Rational
  • Inheritance Relationships
    • Base Type
  • Class Documentation

• Template Class SetVector
  • Class Documentation

• Template Class SparseVector
  • Class Documentation

• Template Class UnivariatePolynomial
  • Class Documentation

Functions

• Function apply_inverse
  • Function Documentation

• Function apply_inverse_on_left(L<SI>, L<SI>)
  • Function Documentation

• Function apply_inverse_on_left(U<SI>, U<SI>)
  • Function Documentation

• Function apply_inverse_on_left(L<SI>, A<SI>)
  • Function Documentation

• Function apply_inverse_on_left(U<SI>, A<SI>)
  • Function Documentation

• Function apply_inverse_on_right(L<SI>, L<SI>)
  • Function Documentation

• Function apply_inverse_on_right(U<SI>, U<SI>)
  • Function Documentation

• Function apply_inverse_on_right(A<SI>, L<SI>)
  • Function Documentation

• Function apply_inverse_on_right(A<SI>, U<SI>)
  • Function Documentation

• Template Function bats::__ChainComplex(const CpxT&, T)
  • Function Documentation

• Template Function bats::__ChainComplex(const CpxT&, const CpxT&, T)
  • Function Documentation

• Template Function bats::__ChainFunctor
  • Function Documentation

• Template Function bats::__CochainComplex
  • Function Documentation

• Template Function bats::__FilteredChainComplex
  • Function Documentation

• Template Function bats::__ReducedChainComplex
  • Function Documentation

• Template Function bats::__ReducedCochainComplex
  • Function Documentation

• Template Function bats::__ReducedFilteredChainComplex
  • Function Documentation

• Template Function bats::add_dimension_recursive_flag(Filtration<T, CpxT>&, const NT&, const size_t, const size_t, const std::vector<size_t>&, std::vector<size_t>&, const T&)
  • Function Documentation

• Template Function bats::add_dimension_recursive_flag(Filtration<T, CpxT>&, const NT&, const size_t, const size_t, const std::vector<size_t>&, std::vector<size_t>&, const T&, bool, const cell_ind&)
  • Function Documentation

• Template Function bats::add_dimension_recursive_flag(CpxT&, const NT&, const size_t, const size_t, const std::vector<size_t>&, std::vector<size_t>&)
  • Function Documentation

• Template Function bats::add_dimension_recursive_flag_extension
  • Function Documentation

• Template Function bats::add_dimension_recursive_flag_unsafe
  • Function Documentation

• Function bats::add_dimension_recursive_nerve
  • Function Documentation

• Template Function bats::add_normal_noise(Matrix<T>&, const T, const T)
  • Function Documentation

• Template Function bats::add_normal_noise(Matrix<T>&, unsigned, const T, const T)
  • Function Documentation

• Template Function bats::add_normal_noise(DataSet<T>&, const T, const T)
  • Function Documentation

• Template Function bats::add_normal_noise(DataSet<T>&, unsigned, const T, const T)
  • Function Documentation

• Template Function bats::add_uniform_noise(Matrix<T>&, unsigned, const T, const T)
  • Function Documentation

• Template Function bats::add_uniform_noise(Matrix<T>&, const T, const T)
  • Function Documentation

• Template Function bats::add_uniform_noise(DataSet<T>&, const T, const T)
  • Function Documentation

• Function bats::all_pairs
  • Function Documentation

• Template Function bats::approx_center
  • Function Documentation

• Template Function bats::assign_set_lower
  • Function Documentation

• Template Function bats::assign_set_upper
  • Function Documentation

• Template Function bats::barcode(const Diagram<NT, TM>&, size_t)
  • Function Documentation

• Template Function bats::barcode(const Diagram<NT, TM>&, size_t, flags::divide_conquer)
  • Function Documentation

• Template Function bats::barcode(const Diagram<NT, TM>&, size_t, flags::leftward)
  • Function Documentation

• Template Function bats::barcode(const Diagram<NT, TM>&, size_t, flags::rightward)
  • Function Documentation

• Template Function bats::barcode(const Diagram<NT, std::vector<TM>>&, Args …)
  • Function Documentation

• Template Function bats::barcode_equality
  • Function Documentation

• Template Function bats::barcode_form_divide_conquer
  • Function Documentation

• Template Function bats::barcode_form_leftright
  • Function Documentation

• Template Function bats::barcode_form_rightleft
  • Function Documentation

• Template Function bats::barcode_from_barcode_form
  • Function Documentation

• Function bats::bars_to_pairs
  • Function Documentation

• Template Function bats::binom_to_inds
  • Function Documentation

• Function bats::bivariate_cover
  • Function Documentation

• Template Function bats::Chain(const CpxT&, T)
  • Function Documentation

• Template Function bats::Chain(const CpxT&, const CpxT&, T)
  • Function Documentation

• Template Function bats::Chain(const CellularMap&, T)
  • Function Documentation

• Template Function bats::Chain(const Filtration<FT, CpxT>&, T)
  • Function Documentation

• Template Function bats::Chain(const Diagram<CpxT, CellularMap>&, T)
  • Function Documentation

• Template Function bats::ChainFunctor(const DT&)
  • Function Documentation

• Template Function bats::ChainFunctor(const DT&, TF)
  • Function Documentation

• Template Function bats::circle
  • Function Documentation

• Template Function bats::CompleteFlagFiltration
  • Function Documentation

• Template Function bats::coordinate_projection
  • Function Documentation

• Function bats::Cube(size_t, size_t)
  • Function Documentation

• Function bats::Cube(size_t, size_t, size_t)
  • Function Documentation

• Function bats::Cube(size_t, size_t, size_t, size_t, size_t, size_t, size_t, size_t, size_t)
  • Function Documentation

• Function bats::CubicalMap
  • Function Documentation

• Template Function bats::detail::pivot_coeff
  • Function Documentation

• Template Function bats::DGLinearFunctor
  • Function Documentation

• Template Function bats::DiscreteMorozovZigzag
  • Function Documentation

• Template Function bats::DiscreteMorozovZigzagSets
  • Function Documentation

• Template Function bats::dowker_edge_param(const Matrix<T>&, const size_t, const size_t)
  • Function Documentation

• Template Function bats::dowker_edge_param(const Matrix<T>&)
  • Function Documentation

• Template Function bats::dowker_filtration_edges
  • Function Documentation

• Template Function bats::DowkerFiltration(const Matrix<T>&, T, size_t)
  • Function Documentation

• Template Function bats::DowkerFiltration(const DataSet<T>&, const DataSet<T>&, const M&, T, size_t)
  • Function Documentation

• Template Function bats::DowkerFiltration(const Matrix<T>&, const bats::Cover&, T, size_t)
  • Function Documentation

• Template Function bats::DowkerFiltration(const DataSet<T>&, const DataSet<T>&, const M&, const bats::Cover&, T, size_t)
  • Function Documentation

• Template Function bats::EilenbergZilber(const CpxT&, const CpxT&, const size_t, T)
  • Function Documentation

• Template Function bats::EilenbergZilber(const CpxT&, const CpxT&, const CpxT&, const CpxT&, const size_t, T)
  • Function Documentation

• Template Function bats::enclosing_radius
  • Function Documentation

• Template Function bats::euclidean
  • Function Documentation

• Function bats::extension_perm
  • Function Documentation

• Template Function bats::extract_basis_indices(const MT&, const std::vector<size_t>&)
  • Function Documentation

• Template Function bats::extract_basis_indices(const MT&)
  • Function Documentation

• Template Function bats::extract_dimension
  • Function Documentation

• Template Function bats::extract_pairs
  • Function Documentation

• Function bats::filtration_iperm
  • Function Documentation

• Template Function bats::filtration_sortperm(const std::vector<T>&)
  • Function Documentation

• Template Function bats::filtration_sortperm(const std::vector<std::vector<T>>&)
  • Function Documentation

• Function bats::find_parent
  • Function Documentation

• Template Function bats::find_perm_from_vector
  • Function Documentation

• Template Function bats::flag_filtration_edges
  • Function Documentation

• Template Function bats::FlagComplex
  • Function Documentation

• Template Function bats::FlagFiltration
  • Function Documentation

• Template Function bats::FlagFiltration_extension
  • Function Documentation

• Template Function bats::force_repel_rp
  • Function Documentation

• Template Function bats::Freudenthal(size_t, size_t)
  • Function Documentation

• Template Function bats::Freudenthal(size_t, size_t, size_t)
  • Function Documentation

• Template Function bats::Freudenthal(size_t, size_t, size_t, size_t, size_t, size_t, size_t, size_t, size_t)
  • Function Documentation

• Template Function bats::Freudenthal(const CubicalComplex&, size_t, size_t, size_t)
  • Function Documentation

• Template Function bats::future::find_pivot_complete
  • Function Documentation

• Template Function bats::future::find_pivot_high(const RandomAccessIterator&, ssize_t, ssize_t)
  • Function Documentation

• Template Function bats::future::find_pivot_high(const RandomAccessIterator&, ssize_t)
  • Function Documentation

• Template Function bats::future::gemm
  • Function Documentation

• Template Function bats::future::gemv(const MT&, const VT&)
  • Function Documentation

• Template Function bats::future::gemv(const MT&, const VT1&, VT2&&)
  • Function Documentation

• Template Function bats::future::l_residual(const MT&, I1&)
  • Function Documentation

• Template Function bats::future::l_residual(const MT&&, I1&&)
  • Function Documentation

• Template Function bats::future::l_solve(const MT&, I1&, I2&)
  • Function Documentation

• Template Function bats::future::l_solve(const MT1&, const MT2&, I1&, I2&)
  • Function Documentation

• Template Function bats::future::LU
  • Function Documentation

• Function bats::future::operator<<(std::ostream&, const ElementaryPermutation&)
  • Function Documentation

• Function bats::future::operator<<(std::ostream&, const CompositePermutation&)
  • Function Documentation

• Template Function bats::future::unit_lower
  • Function Documentation

• Template Function bats::future::upper
  • Function Documentation

• Function bats::gen_cylinder
  • Function Documentation

• Function bats::get_clearing_inds
  • Function Documentation

• Template Function bats::get_compression_inds
  • Function Documentation

• Template Function bats::get_dM_ZZ_inds
  • Function Documentation

• Template Function bats::get_m
  • Function Documentation

• Template Function bats::get_subset
  • Function Documentation

• Template Function bats::greedy_landmarks
  • Function Documentation

• Template Function bats::greedy_landmarks_hausdorff(const DataSet<T>&, const M&, const size_t)
  • Function Documentation

• Template Function bats::greedy_landmarks_hausdorff(const DataSet<T>&, const M&, const size_t, const size_t)
  • Function Documentation

• Template Function bats::greedy_landmarks_hausdorff(const Matrix<T>&, const size_t)
  • Function Documentation

• Template Function bats::hausdorff_landmarks
  • Function Documentation

• Template Function bats::Hom(const Diagram<ChainComplex<TM>, ChainMap<TM>>&, size_t)
  • Function Documentation

• Template Function bats::Hom(const Diagram<ChainComplex<TM>, ChainMap<TM>>&, bool)
  • Function Documentation

• Template Function bats::Hom(const Diagram<DGVectorSpace<TM>, DGLinearMap<TM>>&, size_t)
  • Function Documentation

• Template Function bats::Hom(const Diagram<DGVectorSpace<TM>, DGLinearMap<TM>>&, bool)
  • Function Documentation

• Function bats::identity_perm
  • Function Documentation

• Template Function bats::increment_m
  • Function Documentation

• Template Function bats::induced_map(const ChainMap<ColumnMatrix<TVec>>&, const ReducedChainComplex<ColumnMatrix<TVec>>&, const ReducedChainComplex<ColumnMatrix<TVec>>&, size_t)
  • Function Documentation

• Template Function bats::induced_map(const ChainMap<ColumnMatrix<TVec>>&, const ReducedCochainComplex<ColumnMatrix<TVec>>&, const ReducedCochainComplex<ColumnMatrix<TVec>>&, size_t)
  • Function Documentation

• Template Function bats::induced_map(const DGLinearMap<ColumnMatrix<TVec>>&, const ReducedDGVectorSpace<ColumnMatrix<TVec>>&, const ReducedDGVectorSpace<ColumnMatrix<TVec>>&, size_t)
  • Function Documentation

• Template Function bats::interval
  • Function Documentation

• Template Function bats::is_left_arrow
  • Function Documentation

• Template Function bats::k_choose_2
  • Function Documentation

• Function bats::k_choose_2_inv
  • Function Documentation

• Template Function bats::kdist
  • Function Documentation

• Template Function bats::Kendall_tau(const std::vector<T>&)
  • Function Documentation

• Template Function bats::Kendall_tau(const std::vector<T>&, const std::vector<T>&)
  • Function Documentation

• Template Function bats::Kendall_tau(const std::vector<std::vector<T>>&)
  • Function Documentation

• Template Function bats::Kendall_tau_inplace
  • Function Documentation

• Template Function bats::Kendall_tau_merge
  • Function Documentation

• Template Function bats::kron_chain_shift
  • Function Documentation

• Template Function bats::kron_chains
  • Function Documentation

• Template Function bats::kron_homology
  • Function Documentation

• Template Function bats::kron_index
  • Function Documentation

• Template Function bats::landmark_cover
  • Function Documentation

• Template Function bats::landmark_eps_cover
  • Function Documentation

• Function bats::linear_cover_intersection_diagram
  • Function Documentation

• Function bats::linear_subset_union_diagram
  • Function Documentation

• Template Function bats::LowerStarFiltration
  • Function Documentation

• Template Function bats::make_edge
  • Function Documentation

• Template Function bats::mayer_vietoris_boundary
  • Function Documentation

• Template Function bats::neighborhood(const VectorView<T>&, const DataSet<T>&, const M&, const T)
  • Function Documentation

• Template Function bats::neighborhood(const VectorView<T>&, const DataSet<T>&, const M&, const size_t)
  • Function Documentation

• Template Function bats::neighborhoods(const DataSet<T>&, const DataSet<T>&, const M&, const T)
  • Function Documentation

• Template Function bats::neighborhoods(const DataSet<T>&, const DataSet<T>&, const M&, const size_t)
  • Function Documentation

• Template Function bats::neighborhoods(const Matrix<T>&, const T)
  • Function Documentation

• Function bats::Nerve(const Diagram<bats::Cover, std::vector<size_t>>&, const size_t)
  • Function Documentation

• Function bats::Nerve(const bats::Cover&, const size_t)
  • Function Documentation

• Template Function bats::normalize_entries
  • Function Documentation

• Template Function bats::operator<
  • Function Documentation

• Template Function bats::operator<<
  • Function Documentation

• Template Function bats::OscillatingRipsZigzagSets
  • Function Documentation

• Template Function bats::pairwise_dist
  • Function Documentation

• Template Function bats::partial_reduce_parallel(ColumnMatrix<TVec>&, const size_t)
  • Function Documentation

• Template Function bats::partial_reduce_parallel(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, const size_t)
  • Function Documentation

• Template Function bats::pass_L_left
  • Function Documentation

• Template Function bats::pass_P_left
  • Function Documentation

• Template Function bats::pass_P_right
  • Function Documentation

• Template Function bats::pass_PL_left
  • Function Documentation

• Template Function bats::pass_U_right
  • Function Documentation

• Template Function bats::pass_UP_right
  • Function Documentation

• Function bats::perm_to_the_end(const size_t&, const size_t&)
  • Function Documentation

• Function bats::perm_to_the_end(const std::vector<size_t>&, const size_t&)
  • Function Documentation

• Template Function bats::print_1D_vectors
  • Function Documentation

• Template Function bats::print_2D_vectors
  • Function Documentation

• Template Function bats::print_filtration_info
  • Function Documentation

• Template Function bats::print_simplex
  • Function Documentation

• Template Function bats::print_summary_of_filtration
  • Function Documentation

• Function bats::prod_ind
  • Function Documentation

• Template Function bats::product_paths(CpxT&, itT, const itT, itT, const itT, std::vector<size_t>&, const size_t)
  • Function Documentation

• Template Function bats::product_paths(CpxT&, itT, const itT, itT, const itT, std::vector<size_t>&, const size_t, std::vector<cell_ind>&)
  • Function Documentation

• Template Function bats::product_space
  • Function Documentation

• Template Function bats::random_landmarks
  • Function Documentation

• Template Function bats::read_point_cloud
  • Function Documentation

• Template Function bats::Reduce(const CpxT&, T, Args …)
  • Function Documentation

• Template Function bats::Reduce(const ChainComplex<MT>&, Args …)
  • Function Documentation

• Template Function bats::Reduce(const Filtration<FT, CpxT>&, T, Args …)
  • Function Documentation

• Template Function bats::Reduce(const FilteredChainComplex<T, MT>&, Args …)
  • Function Documentation

• Template Function bats::reduce_block_dq(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, const size_t, const size_t, const size_t)
  • Function Documentation

• Template Function bats::reduce_block_dq(ColumnMatrix<TVec>&, const size_t, const size_t, const size_t, const size_t, const size_t)
  • Function Documentation

• Template Function bats::reduce_block_sequential(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, const size_t, const size_t)
  • Function Documentation

• Template Function bats::reduce_block_sequential(ColumnMatrix<TVec>&, const size_t, const size_t)
  • Function Documentation

• Template Function bats::reduce_column_extra
  • Function Documentation

• Template Function bats::reduce_column_sparsify
  • Function Documentation

• Template Function bats::reduce_column_standard(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, const size_t, std::unordered_map<size_t, size_t>&, typename TVec::tmp_type&)
  • Function Documentation

• Template Function bats::reduce_column_standard(ColumnMatrix<TVec>&, const size_t, std::unordered_map<size_t, size_t>&, typename TVec::tmp_type&)
  • Function Documentation

• Template Function bats::reduce_matrix(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, divide_conquer_flag)
  • Function Documentation

• Template Function bats::reduce_matrix(ColumnMatrix<TVec>&, divide_conquer_flag)
  • Function Documentation

• Template Function bats::reduce_matrix(ColumnMatrix<TVec>&)
  • Function Documentation

• Template Function bats::reduce_matrix(ColumnMatrix<TVec>&, bats::standard_reduction_flag)
  • Function Documentation

• Template Function bats::reduce_matrix(ColumnMatrix<TVec>&, bats::extra_reduction_flag)
  • Function Documentation

• Template Function bats::reduce_matrix(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&)
  • Function Documentation

• Template Function bats::reduce_matrix(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, bats::standard_reduction_flag)
  • Function Documentation

• Template Function bats::reduce_matrix(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, bats::extra_reduction_flag)
  • Function Documentation

• Template Function bats::reduce_matrix_clearing(ColumnMatrix<TVec>&, const std::vector<size_t>&, flag)
  • Function Documentation

• Template Function bats::reduce_matrix_clearing(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, const ColumnMatrix<TVec>&, const std::vector<size_t>&, flag)
  • Function Documentation

• Template Function bats::reduce_matrix_compression(ColumnMatrix<TVec>&, const std::vector<bool>&, flag)
  • Function Documentation

• Template Function bats::reduce_matrix_compression(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, const std::vector<bool>&, flag)
  • Function Documentation

• Template Function bats::reduce_matrix_extra(ColumnMatrix<TVec>&)
  • Function Documentation

• Template Function bats::reduce_matrix_extra(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&)
  • Function Documentation

• Template Function bats::reduce_matrix_standard(ColumnMatrix<TVec>&)
  • Function Documentation

• Template Function bats::reduce_matrix_standard(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&)
  • Function Documentation

• Template Function bats::remove_extra_cycles
  • Function Documentation

• Template Function bats::Rips(const Diagram<std::set<size_t>, std::vector<size_t>>&, const DataSet<T>&, const M&, const T, const size_t)
  • Function Documentation

• Template Function bats::Rips(const Diagram<std::set<size_t>, std::vector<size_t>>&, const DataSet<T>&, const M&, const std::vector<T>&, const size_t)
  • Function Documentation

• Template Function bats::rips_edges(std::vector<T>&, std::vector<size_t>&, std::vector<T>&)
  • Function Documentation

• Template Function bats::rips_edges(const DataSet<T>&, const M&, const T)
  • Function Documentation

• Template Function bats::rips_edges(const Matrix<T>&, const T)
  • Function Documentation

• Template Function bats::rips_filtration_edges(const DataSet<T>&, const M&, const T)
  • Function Documentation

• Template Function bats::rips_filtration_edges(const Matrix<T>&, const T)
  • Function Documentation

• Template Function bats::rips_filtration_edges(const DataSet<T>&, const bats::Cover&, const M&, const T)
  • Function Documentation

• Template Function bats::rips_union_find_pairs
  • Function Documentation

• Template Function bats::RipsComplex(const DataSet<T>&, const M&, T, size_t)
  • Function Documentation

• Template Function bats::RipsComplex(const Matrix<T>&, T, size_t)
  • Function Documentation

• Template Function bats::RipsFiltration(const DataSet<T>&, const M&, T, size_t)
  • Function Documentation

• Template Function bats::RipsFiltration(const Matrix<T>&, T, size_t)
  • Function Documentation

• Template Function bats::RipsFiltration(const DataSet<T>&, const bats::Cover&, const M&, T, size_t)
  • Function Documentation

• Template Function bats::RipsFiltration_extension(const DataSet<T>&, const M&, T, size_t)
  • Function Documentation

• Template Function bats::RipsFiltration_extension(const Matrix<T>&, T, size_t)
  • Function Documentation

• Template Function bats::RipsHom
  • Function Documentation

• Template Function bats::rowmajor::get_idx(T, T, T)
  • Function Documentation

• Template Function bats::rowmajor::get_idx(T, T, T, T, T)
  • Function Documentation

• Template Function bats::sample_cube(const size_t, const size_t)
  • Function Documentation

• Template Function bats::sample_cube(const size_t, const size_t, unsigned)
  • Function Documentation

• Template Function bats::sample_sphere(const size_t, const size_t, unsigned)
  • Function Documentation

• Template Function bats::sample_sphere(const size_t, const size_t)
  • Function Documentation

• Function bats::serpinski_diagram
  • Function Documentation

• Template Function bats::SimplicialMap(const CpxT&, const CpxT&)
  • Function Documentation

• Template Function bats::SimplicialMap(const CpxT&, const CpxT&, const std::vector<size_t>&)
  • Function Documentation

• Template Function bats::sort_edges
  • Function Documentation

• Template Function bats::sort_indexes
  • Function Documentation

• Template Function bats::sparsify_basis(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&, const size_t, std::map<F, size_t>&, typename TVec::tmp_type&)
  • Function Documentation

• Template Function bats::sparsify_basis(ColumnMatrix<TVec>&, ColumnMatrix<TVec>&)
  • Function Documentation

• Template Function bats::StrictRipsCoverFiltration
  • Function Documentation

• Template Function bats::StrictWitnessComplex
  • Function Documentation

• Template Function bats::test_reduce_result
  • Function Documentation

• Template Function bats::TriangulatedProduct(const CpxT&, const CpxT&, const size_t, const size_t)
  • Function Documentation

• Template Function bats::TriangulatedProduct(const CpxT&, const CpxT&, const size_t)
  • Function Documentation

• Template Function bats::TriangulatedProduct(const CpxT&, const CpxT&)
  • Function Documentation

• Template Function bats::type_A_dq_common
  • Function Documentation

• Template Function bats::type_A_dq_EL
  • Function Documentation

• Template Function bats::type_A_dq_EU
  • Function Documentation

• Template Function bats::type_A_leftright_sweep1
  • Function Documentation

• Template Function bats::type_A_leftright_sweep2
  • Function Documentation

• Template Function bats::type_A_rightleft_sweep1
  • Function Documentation

• Template Function bats::type_A_rightleft_sweep2
  • Function Documentation

• Template Function bats::uniform_interval_cover
  • Function Documentation

• Template Function bats::union_find_pairs
  • Function Documentation

• Template Function bats::util::apply_iperm_swap
  • Function Documentation

• Template Function bats::util::apply_perm(T, std::vector<T2>&, const std::vector<size_t>&)
  • Function Documentation

• Template Function bats::util::apply_perm(T *, const std::vector<size_t>&)
  • Function Documentation

• Template Function bats::util::apply_perm(std::vector<T>&, const std::vector<size_t>&)
  • Function Documentation

• Template Function bats::util::apply_perm_swap
  • Function Documentation

• Function bats::util::fill_partial_sortperm
  • Function Documentation

• Template Function bats::util::fill_sortperm(const T&, const T&, std::vector<size_t>&)
  • Function Documentation

• Template Function bats::util::fill_sortperm(const std::vector<T>&, std::vector<size_t>&)
  • Function Documentation

• Template Function bats::util::find_sorted_lt
  • Function Documentation

• Template Function bats::util::firstk
  • Function Documentation

• Template Function bats::util::has_intersect_sorted
  • Function Documentation

• Template Function bats::util::has_intersect_sorted_lt
  • Function Documentation

• Template Function bats::util::intersect_sorted(const C1&, const C2&, std::vector<T>&)
  • Function Documentation

• Template Function bats::util::intersect_sorted(const C1&, const C2&, std::set<T>&)
  • Function Documentation

• Template Function bats::util::intersect_sorted_lt
  • Function Documentation

• Function bats::util::inv_perm
  • Function Documentation

• Template Function bats::util::io::parse_argv(const int, char **, const std::string&&, const T)
  • Function Documentation

• Function bats::util::io::parse_argv(const int, char **, const std::string&&, const std::string)
  • Function Documentation

• Template Function bats::util::is_degenerate
  • Function Documentation

• Function bats::util::partial_perm
  • Function Documentation

• Template Function bats::util::perm_inversions
  • Function Documentation

• Template Function bats::util::perm_sign
  • Function Documentation

• Function bats::util::rand_perm
  • Function Documentation

• Function bats::util::random_subset
  • Function Documentation

• Template Function bats::util::read_simplex
  • Function Documentation

• Template Function bats::util::set_intersection
  • Function Documentation

• Template Function bats::util::set_union
  • Function Documentation

• Template Function bats::util::simplex_sign
  • Function Documentation

• Function bats::util::sort_ind_by_perm
  • Function Documentation

• Function bats::util::sort_ind_pair_by_perm
  • Function Documentation

• Template Function bats::util::sort_into
  • Function Documentation

• Template Function bats::util::sort_sum_reduce
  • Function Documentation

• Template Function bats::util::sorted_complement
  • Function Documentation

• Template Function bats::util::sortperm(const std::vector<T>&)
  • Function Documentation

• Template Function bats::util::sortperm(const TI&, const TI&)
  • Function Documentation

• Template Function bats::util::sortperm(RAI, RAI, Compare)
  • Function Documentation

• Template Function bats::util::sortperm(const size_t, const size_t, Compare)
  • Function Documentation

• Template Function bats::util::stable_sortperm
  • Function Documentation

• Template Function bats::util::to_set
  • Function Documentation

• Template Function bats::util::top_k
  • Function Documentation

• Template Function bats::util::top_p
  • Function Documentation

• Template Function bats::util::write_simplex(IO&, std::vector<T>&)
  • Function Documentation

• Template Function bats::util::write_simplex(IO&, TI&&, TI&&)
  • Function Documentation

• Template Function bats::vertex_inclusion_map
  • Function Documentation

• Template Function bats::witness_edge_param
  • Function Documentation

• Template Function bats::witness_edges(const DataSet<T>&, const DataSet<T>&, const M&)
  • Function Documentation

• Template Function bats::witness_edges(const DataSet<T>&, const DataSet<T>&, const M&, const T)
  • Function Documentation

• Template Function bats::witness_neighborhoods
  • Function Documentation

• Template Function bats::WitnessComplex(const DataSet<T>&, const DataSet<T>&, const M&, const size_t)
  • Function Documentation

• Template Function bats::WitnessComplex(const DataSet<T>&, const DataSet<T>&, const M&, const size_t, const T, const size_t)
  • Function Documentation

• Template Function bats::WitnessFiltration
  • Function Documentation

• Template Function bats::zigzag::barcode
  • Function Documentation

• Template Function bats::zigzag::detail::apply_basis
  • Function Documentation

• Template Function bats::zigzag::detail::boundary_insertion_map
  • Function Documentation

• Template Function bats::zigzag::detail::cube_extrema
  • Function Documentation

• Template Function bats::zigzag::detail::cube_val
  • Function Documentation

• Template Function bats::zigzag::detail::cycle_insertion_map
  • Function Documentation

• Function bats::zigzag::detail::lex_cmp
  • Function Documentation

• Function bats::zigzag::detail::rlex_cmp
  • Function Documentation

• Template Function bats::zigzag::detail::simplex_extrema
  • Function Documentation

• Template Function bats::zigzag::detail::update_bars
  • Function Documentation

• Template Function bats::zigzag::extend_levelset
  • Function Documentation

• Template Function bats::zigzag::extend_zigzag_filtration(const std::vector<T>&, const CpxT&, const T)
  • Function Documentation

• Template Function bats::zigzag::extend_zigzag_filtration(const std::vector<T>&, const CubicalComplex&, const T, const size_t)
  • Function Documentation

• Template Function bats::zigzag::extra_col_reduction
  • Function Documentation

• Template Function bats::zigzag::prepare_ChainComplex(const ZigzagFiltration<CpxT, T>&, FT)
  • Function Documentation

• Template Function bats::zigzag::prepare_ChainComplex(const ZigzagFiltration<bats::SimplicialComplex, T>&, FT)
  • Function Documentation

• Template Function bats::zigzag::reduce_column(size_t, ColumnMatrix<VecT>&, ColumnMatrix<VecT>&, std::vector<size_t>&, typename VecT::tmp_type&, reduction_flag)
  • Function Documentation

• Template Function bats::zigzag::reduce_column(size_t, ColumnMatrix<VecT>&, ColumnMatrix<VecT>&, std::vector<size_t>&, typename VecT::tmp_type&, bats::extra_reduction_flag)
  • Function Documentation

• Template Function bats::zigzag::zigzag_barcode_reduction
  • Function Documentation

• Template Function bats::zigzag_levelsets
  • Function Documentation

• Template Function bats::zigzag_toplex
  • Function Documentation

• Template Function block_reduce
  • Function Documentation

• Template Function characteristic_matrix
  • Function Documentation

• Function commute(MAT, MAT)
  • Function Documentation

• Function commute(EL<SI>, L<SI>)
  • Function Documentation

• Template Function complete_pairs
  • Function Documentation

• Template Function CU_inplace
  • Function Documentation

• Template Function delete_pivot
  • Function Documentation

• Template Function EL_L_commute
  • Function Documentation

• Template Function EU_U_commute
  • Function Documentation

• Template Function extend_filtration
  • Function Documentation

• Template Function extended_euclidean
  • Function Documentation

• Template Function extract_row_scale
  • Function Documentation

• Template Function ff_inv
  • Function Documentation

• Template Function gemv
  • Function Documentation

• Template Function generating_basis
  • Function Documentation

• Template Function get_pivots
  • Function Documentation

• Template Function inv
  • Function Documentation

• Function isprime
  • Function Documentation

• Template Function L_EL_commute
  • Function Documentation

• Template Function l_inv
  • Function Documentation

• Template Function l_solve(const ColumnMatrix<TC>&, const TC&)
  • Function Documentation

• Template Function l_solve(const ColumnMatrix<TC>&, const ColumnMatrix<TC>&)
  • Function Documentation

• Template Function LEUP
  • Function Documentation

• Function LEUP_Fact
  • Function Documentation

• Function LEUP_fact
  • Function Documentation

• Template Function LEUP_inplace
  • Function Documentation

• Template Function lower_star_backwards
  • Function Documentation

• Template Function lower_star_filtration(const CpxT&, const std::vector<T>&)
  • Function Documentation

• Template Function lower_star_filtration(const bats::CubicalComplex&, const std::vector<std::vector<T>>&)
  • Function Documentation

• Template Function lower_star_filtration(const bats::CubicalComplex&, const std::vector<std::vector<std::vector<T>>>&)
  • Function Documentation

• Template Function LQU
  • Function Documentation

• Template Function LQU_inplace
  • Function Documentation

• Function matmul(MAT, MAT)
  • Function Documentation

• Function matmul(A<SI>, A<SI>)
  • Function Documentation

• Function matmul(D<SI>, D<SI>)
  • Function Documentation

• Function matmul(L<SI>, L<SI>)
  • Function Documentation

• Function matmul(U<SI>, U<SI>)
  • Function Documentation

• Function matmul(L<SI>, U<SI>)
  • Function Documentation

• Template Function max_cube_val(const std::vector<size_t>&, const std::vector<std::vector<T>>&)
  • Function Documentation

• Template Function max_cube_val(const std::vector<size_t>&, const std::vector<std::vector<std::vector<T>>>&)
  • Function Documentation

• Template Function operator<(const TI&, const nzpair<TI, TV>&)
  • Function Documentation

• Template Function operator<(const nzpair<TI, TV>&, const TI&)
  • Function Documentation

• Template Function operator<(const nzpair<TI, TV>&, const nzpair<TI, TV>&)
  • Function Documentation

• Template Function operator<<(std::ostream&, const nzpair<TI, TV>&)
  • Function Documentation

• Function operator<<(std::ostream&, L<SI>&)
  • Function Documentation

• Function operator<<(std::ostream&, U<SI>&)
  • Function Documentation

• Function operator<<(std::ostream&, EL<SI>&)
  • Function Documentation

• Function operator<<(std::ostream&, EU<SI>&)
  • Function Documentation

• Function operator<<(std::ostream&, ELH<SI>&)
  • Function Documentation

• Function operator<<(std::ostream&, EUH<SI>&)
  • Function Documentation

• Function operator<<(std::ostream&, P<SI>&)
  • Function Documentation

• Function operator<<(std::ostream&, A<SI>&)
  • Function Documentation

• Template Function pivot_ind
  • Function Documentation

• Template Function PLEU
  • Function Documentation

• Function PLEU_Fact
  • Function Documentation

• Function PLEU_fact
  • Function Documentation

• Template Function PLEU_inplace
  • Function Documentation

• Template Function PUEL
  • Function Documentation

• Function PUEL_Fact
  • Function Documentation

• Function PUEL_fact
  • Function Documentation

• Template Function PUEL_inplace
  • Function Documentation

• Template Function RCF_basis
  • Function Documentation

• Template Function schur(T&, T&, T&, T&)
  • Function Documentation

• Template Function schur(ColumnMatrix<CT>&, ColumnMatrix<CT>&, ColumnMatrix<CT>&, ColumnMatrix<CT>&)
  • Function Documentation

• Template Function schur(const ColumnMatrix<TV>&, const size_t, const size_t, const size_t, const size_t)
  • Function Documentation

• Template Function sgn(T)
  • Function Documentation

• Function sgn(const int&)
  • Function Documentation

• Template Function smith_factorization
  • Function Documentation

• Template Function smith_normal_form
  • Function Documentation

• Template Function smith_rows
  • Function Documentation

• Template Function standard_reduce
  • Function Documentation

• Template Function U_EU_commute
  • Function Documentation

• Template Function u_inv
  • Function Documentation

• Template Function u_solve(const ColumnMatrix<TC>&, const TC&)
  • Function Documentation

• Template Function u_solve(const ColumnMatrix<TC>&, const ColumnMatrix<TC>&)
  • Function Documentation

• Template Function UELP
  • Function Documentation

• Function UELP_Fact
  • Function Documentation

• Function UELP_fact
  • Function Documentation

• Template Function UELP_inplace
  • Function Documentation

• Template Function update_pivot
  • Function Documentation

• Template Function UQL
  • Function Documentation

Variables

• Variable bats::NO_IND
  • Variable Documentation

Defines

• Define APPLY_INVERSE_ON_LEFT
  • Define Documentation

• Define APPLY_INVERSE_ON_RIGHT
  • Define Documentation

• Define IMPL_COUT
  • Define Documentation

• Define IMPL_FACT
  • Define Documentation

• Define MM
  • Define Documentation

• Define p2c_type
  • Define Documentation

Typedefs

• Typedef bats::Cover
  • Typedef Documentation

• Typedef bats::Matrix
  • Typedef Documentation