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Diffstat (limited to 'src/cython/example/persistence_representations_landscapes_on_grid_example.py')
-rwxr-xr-x | src/cython/example/persistence_representations_landscapes_on_grid_example.py | 110 |
1 files changed, 110 insertions, 0 deletions
diff --git a/src/cython/example/persistence_representations_landscapes_on_grid_example.py b/src/cython/example/persistence_representations_landscapes_on_grid_example.py new file mode 100755 index 00000000..60b0e873 --- /dev/null +++ b/src/cython/example/persistence_representations_landscapes_on_grid_example.py @@ -0,0 +1,110 @@ +#!/usr/bin/env python + +import gudhi + + +"""This file is part of the Gudhi Library. The Gudhi library + (Geometric Understanding in Higher Dimensions) is a generic C++ + library for computational topology. + + Author(s): Pawel Dlotko + + Copyright (C) 2017 Swansea University + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see <http://www.gnu.org/licenses/>. +""" + +__author__ = "Pawel Dlotko" +__copyright__ = "Copyright (C) 2017 Swansea University" +__license__ = "GPL v3" + +print("#####################################################################") +print("Persistence representations landscapes on a grid example") + +persistence1 = [(1, 2),(6, 8),(0, 4),(3, 8)] +persistence2 = [(2, 9),(1, 6),(3, 5),(6, 10)] + +#create two persistence landscapes based on persistence1 and persistence2: +l1 = PersistenceLandscapeOnGrid(persistence1, 0, 11, 20) +l2 = PersistenceLandscapeOnGrid(persistence2, 0, 11, 20) + +#This is how to compute integral of landscapes: +print "Integral of the first landscape : " , l1.compute_integral_of_landscape() +print "Integral of the second landscape : " , l2.compute_integral_of_landscape() + +#here are the maxima of the functions: +print "Maximum of l1 : " , l1.compute_maximum() +print "Maximum of l2 : " , l2.compute_maximum() + +#here are the norms of landscapes: +print "L^1 Norm of l1 : " , l1.compute_norm_of_landscape(1.) +print "L^1 Norm of l2 : " , l2.compute_norm_of_landscape(1.) + +#here is the average of landscapes: +average = PersistenceLandscapeOnGrid(); +average.compute_average(to_average=[l1, l2]); + + +#here is the distance of landscapes: +print "Distance : " , l1.distance(l2) + +#here is the scalar product of landscapes: +print "Scalar product : " , l1.compute_scalar_product(l2) + + + + + + + + + + + + + + + + + + +persistence1 = [(1,2),(6,8),(0,4),(3,8)] +persistence2 = [(2,9),(1,6),(3,5),(6,10)] + + +#create two persistence landscapes based on persistence1 and persistence2: +l1 = gudhi.PersistenceLandscapes(vector_of_intervals=persistence1, dimension=3) +l2 = gudhi.PersistenceLandscapes(vector_of_intervals=persistence2) + +#This is how to compute integral of landscapes: +print "Integral of the first landscape : ", l1.compute_integral_of_landscape() +print "Integral of the second landscape : ", l2.compute_integral_of_landscape() + +#here are the maxima of the functions: +print "Maximum of l1 : ", l1.compute_maximum() +print "Maximum of l2 : ", l2.compute_maximum() + +#here are the norms of landscapes: +print "L^1 Norm of l1 : ", l1.compute_norm_of_landscape(1.) +print "L^1 Norm of l2 : ", l2.compute_norm_of_landscape(1.) + +#here is the average of landscapes: +average = gudhi.PersistenceLandscapes() +average.compute_average(to_average=[l1, l2]) + +#here is the distance of landscapes: +print "Distance : ", l1.distance(average,1) + +#here is the scalar product of landscapes: +print "Scalar product : ", l1.compute_scalar_product(l2) |