167 lines
4.7 KiB
Python
167 lines
4.7 KiB
Python
# This file is part of Bertini 2.
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#
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# python/test/endgame_test.py is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# python/test/endgame_test.py is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with python/test/endgame_test.py. If not, see <http://www.gnu.org/licenses/>.
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#
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# Copyright(C) 2016-2018 by Bertini2 Development Team
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#
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# See <http://www.gnu.org/licenses/> for a copy of the license,
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# as well as COPYING. Bertini2 is provided with permitted
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# additional terms in the b2/licenses/ directory.
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# individual authors of this file include:
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#
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# silviana amethyst
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# University of Notre Dame
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#
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# silviana amethyst
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# UWEC
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# Spring 2018
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#
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__author__ = 'ofloveandhate'
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if __name__ == '__main__':
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run_tests = True
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else:
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run_tests = False
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from pybertini import *
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from pybertini.function_tree.symbol import *
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from pybertini.function_tree.root import *
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from pybertini.function_tree import *
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from pybertini.tracking import *
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from pybertini.tracking.config import *
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from pybertini.endgame import *
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from pybertini.endgame.config import *
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import unittest
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import numpy as np
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import pdb
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import pybertini.system.start_system as ss
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import pybertini.multiprec as mp
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from pybertini.multiprec import Float as mpfr_float
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from pybertini.multiprec import Complex as mpfr_complex
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class EndgameTest(unittest.TestCase):
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def setUp(self):
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self.ambient_precision = 50;
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def test_using_total_degree_ss(self):
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default_precision(self.ambient_precision);
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x = Variable("x");
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y = Variable("y");
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t = Variable("t");
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sys = System();
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var_grp = VariableGroup();
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var_grp.append(x);
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var_grp.append(y);
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sys.add_variable_group(var_grp);
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sys.add_function((x-1)**3)
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sys.add_function((y-1)**2)
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sys.homogenize();
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sys.auto_patch();
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self.assertEqual(sys.is_patched(), 1)
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self.assertEqual(sys.is_homogeneous(), 1)
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td = ss.TotalDegree(sys);
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self.assertEqual(td.is_patched(), 1)
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self.assertEqual(td.is_homogeneous(), 1)
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gamma = Rational.rand();
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final_system = (1-t)*sys + gamma*t*td;
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final_system.add_path_variable(t);
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prec_config = AMPConfig(final_system);
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stepping_pref = SteppingConfig();
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newton_pref = NewtonConfig();
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tracker = AMPTracker(final_system);
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tracker.setup(Predictor.RK4, 1e-5, 1e5, stepping_pref, newton_pref);
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tracker.precision_setup(prec_config);
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num_paths_to_track = td.num_start_points();
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n = int(str(num_paths_to_track)); # this line sucks, wtf.
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t_start = mpfr_complex(1);
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t_endgame_boundary = mpfr_complex("0.1");
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t_final = mpfr_complex(0);
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bdry_points = []
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for i in range(n):
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default_precision(self.ambient_precision);
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final_system.precision(self.ambient_precision);
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start_point = td.start_point_mp(i);
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bdry_pt = np.array( np.zeros( (3)).astype(np.int64),dtype=mpfr_complex)
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track_success_code = tracker.track_path(bdry_pt,t_start, t_endgame_boundary, start_point);
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bdry_points.append(bdry_pt);
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self.assertEqual(track_success_code, SuccessCode.Success)
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tracker.setup(Predictor.HeunEuler, 1e-6, 1e5, stepping_pref, newton_pref);
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my_endgame = AMPCauchyEG(tracker);
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final_homogenized_solutions = [np.empty(dtype=mpfr_complex, shape=(3,)) for i in range(n)]
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for i in range(n):
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default_precision(bdry_points[i][0].precision());
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final_system.precision(bdry_points[i][0].precision());
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bdry_time = mpfr_complex(t_endgame_boundary)
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track_success_code = my_endgame.run(bdry_time,bdry_points[i]); # should be bdry_pts[i], not XXX
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final_homogenized_solutions[i] = my_endgame.final_approximation();
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self.assertEqual(track_success_code, SuccessCode.Success)
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dehomogenized_solns = [sys.dehomogenize_point(soln) for soln in final_homogenized_solutions]
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exact_soln = np.array([1,1])
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for soln in dehomogenized_solns:
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assert np.sqrt(np.sum((exact_soln - soln)**2)) < 1e-10
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if run_tests:
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pgnm = 'this_argument_is_ignored_but_necessary'
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unittest.main(argv=[pgnm], exit=False)
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