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+/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ * Author(s): Marc Glisse
+ *
+ * Copyright (C) 2020 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#include <wasserstein.h> // Hera
+
+#include <pybind11_diagram_utils.h>
+
+double wasserstein_distance(
+ Dgm d1, Dgm d2,
+ double wasserstein_power, double internal_p,
+ double delta)
+{
+ // I *think* the call to request() has to be before releasing the GIL.
+ auto diag1 = numpy_to_range_of_pairs(d1);
+ auto diag2 = numpy_to_range_of_pairs(d2);
+
+ py::gil_scoped_release release;
+
+ hera::AuctionParams<double> params;
+ params.wasserstein_power = wasserstein_power;
+ // hera encodes infinity as -1...
+ if(std::isinf(internal_p)) internal_p = hera::get_infinity<double>();
+ params.internal_p = internal_p;
+ params.delta = delta;
+ // The extra parameters are purposedly not exposed for now.
+ return hera::wasserstein_dist(diag1, diag2, params);
+}
+
+PYBIND11_MODULE(wasserstein, m) {
+ m.def("wasserstein_distance", &wasserstein_distance,
+ py::arg("X"), py::arg("Y"),
+ py::arg("order") = 1,
+ py::arg("internal_p") = std::numeric_limits<double>::infinity(),
+ py::arg("delta") = .01,
+ R"pbdoc(
+ Compute the Wasserstein distance between two diagrams.
+ Points at infinity are supported.
+
+ Parameters:
+ X (n x 2 numpy array): First diagram
+ Y (n x 2 numpy array): Second diagram
+ order (float): Wasserstein exponent W_q
+ internal_p (float): Internal Minkowski norm L^p in R^2
+ delta (float): Relative error 1+delta
+
+ Returns:
+ float: Approximate Wasserstein distance W_q(X,Y)
+ )pbdoc");
+}