* @brief Indicates if the column is paired or not. * * @return true If the column is paired. * @return false Otherwise. */

\brief Specifies whether the type of the output simplicial complex. * * @param[in] t std::string (either "GIC" or "Nerve"). * */

\brief Assign a value 'key' to the key of the simplex * represented by the Simplex_handle 'sh'. */

Compute the Bottleneck distance between two diagrams. Points at infinity are supported. .. note:: Points on the diagonal are not suppo

this is O(log(n)) algorithm, where n is number of points in this->land.

* @brief Returns a range of the blockers of the complex passing through a vertex */

landscapes * @private Extra functions needed in construction of barcodes. * * @ingroup Persistence_representations **/

Reads a file containing persistence intervals. Each line might contain 2, 3 or 4 values: [[field] dimension] birth death If `only_this_dim` = -1, dime

* @brief Removes an edge from the simplicial complex and all its cofaces. * @details returns the former Edge_handle representing the edge */

\brief Returns a vertex of `sh` that has the same filtration value as `sh` if it exists, and `null_vertex()` otherwise. * * For a lower-star fil

* @private Extra functions needed in construction of barcodes. * * @ingroup Persistence_representations */

* @brief For interface purposes with multi-fields. Returns the multiplicative identity of the field. * * @param productOfCharacteristics Some va

* @brief Returns the additive identity of the field. * * @return 0. */

\brief Returns a minimal face of `sh` that has the same filtration value as `sh`. * * For a filtration built with `make_filtration_non_decreasin

\brief Returns a Vertex_handle different from all Vertex_handles associated * to the vertices of the simplicial complex. */

\brief Returns the simplex that has index idx in the filtration. * * The filtration must be initialized. * * @note Not thread safe */

* @brief Range over triangles around a vertex of the simplicial complex. * Methods .begin() and .end() return a Triangle_around_vertex_iterator.

\brief Returns the codomain dimension. */

* Returns dimension of the complex. **/

* @brief Returns a Complex_edge_range over all edges of the simplicial complex */

* @brief Returns the multiplicative identity of the field. * * @return 1. */

\brief Remove all simplices of dimension greater than a given value. * @param[in] dimension Maximum dimension value. * @return True if any simpl

\brief Returns a point on the zero-set. */

Set color from kth coordinate \brief Computes the function used to color the nodes of the simplicial complex from the k-th coordinate. *

\brief Returns a range of vertices of the simplex. * The type of vertices is Vertex. */

* @brief Returns true if the two given elements are equal in the field, false otherwise. * * @param e1 First element to compare. * @param e2

This function returns the Betti numbers of the simplicial complex. :returns: The Betti numbers ([B0, B1, ..., Bn]). :rtype: list of

\brief Initializes the simplicial complex from the proximity graph and expands it until a given maximal * dimension, using the Cech blocker oracle.

\brief Returns a range over the simplices of the simplicial complex that match the dimension specified by the * parameter. * * @param[in] dim

* @brief Returns a Complex_simplex_range over all the simplices of the complex */

* \private Computations of a \f$L^i\f$ norm of landscape, where i is the input parameter. **/

* Returns dimension of a complex. **/

This function computes the distance matrix between two lists of persistence diagrams given as numpy arrays of shape (nx2). Parameters:

@brief Returns the persistent Betti numbers. * @param[in] from The persistence birth limit to be added in the number \f$(persistent birth \leq from

\brief Specifies whether the program should display information or not. * * @param[in] verb boolean (true = display info, false = do not display

* @brief Stores in the first element the subtraction in the field of the first element by the second element, * that is `(e1 - e2) % 2`, such that

\brief Returns the domain (ambient) dimension. */

@brief Returns Betti numbers. * @return A vector of Betti numbers. */

\brief Returns the Cartesian coordinates of the given vertex. * \details Using the additional parameter scale, the search can be done in a * tri

landscapes * Given two points in \f$ R^2 \f$, the procedure compute the parameters \f$ A \f$ and \f$ B \f$ of the line * \f$ y = Ax + B \f$ that goes