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+:orphan:
+
+.. To get rid of WARNING: document isn't included in any toctree
+
+Bottleneck distance user manual
+===============================
+Definition
+----------
+
+.. include:: bottleneck_distance_sum.inc
+
+This implementation is based on ideas from "Geometry Helps in Bottleneck Matching and Related Problems"
+:cite:`DBLP:journals/algorithmica/EfratIK01`. Another relevant publication, although it was not used is
+"Geometry Helps to Compare Persistence Diagrams" :cite:`Kerber:2017:GHC:3047249.3064175`.
+
+Function
+--------
+.. autofunction:: gudhi.bottleneck_distance
+
+Distance computation
+--------------------
+
+The following example explains how the distance is computed:
+
+.. testcode::
+
+    import gudhi
+
+    message = "Bottleneck distance = " + '%.1f' % gudhi.bottleneck_distance([[0., 0.]], [[0., 13.]])
+    print(message)
+
+.. testoutput::
+
+    Bottleneck distance = 6.5
+
+.. figure::
+    ../../doc/Bottleneck_distance/bottleneck_distance_example.png
+    :figclass: align-center
+    
+    The point (0, 13) is at distance 6.5 from the diagonal and more
+    specifically from the point (6.5, 6.5)
+
+
+Basic example
+-------------
+
+This other example computes the bottleneck distance from 2 persistence diagrams:
+
+.. testcode::
+
+    import gudhi
+
+    diag1 = [[2.7, 3.7],[9.6, 14.],[34.2, 34.974], [3.,float('Inf')]]
+    diag2 = [[2.8, 4.45],[9.5, 14.1],[3.2,float('Inf')]]
+
+    message = "Bottleneck distance approximation = " + '%.2f' % gudhi.bottleneck_distance(diag1, diag2, 0.1)
+    print(message)
+
+    message = "Bottleneck distance value = " + '%.2f' % gudhi.bottleneck_distance(diag1, diag2)
+    print(message)
+
+The output is:
+
+.. testoutput::
+
+    Bottleneck distance approximation = 0.81
+    Bottleneck distance value = 0.75