X-Git-Url: https://scm.cri.mines-paristech.fr/git/linpy.git/blobdiff_plain/fd990941199581e977b4455345b55f841bbaa05a..960f0c252361dfd696359f803aae40a9b13b14a6:/pypol/tests/test_domains.py diff --git a/pypol/tests/test_domains.py b/pypol/tests/test_domains.py index 27d9014..2907f09 100644 --- a/pypol/tests/test_domains.py +++ b/pypol/tests/test_domains.py @@ -1,9 +1,25 @@ +# Copyright 2014 MINES ParisTech +# +# This file is part of Linpy. +# +# Linpy 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. +# +# Linpy 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 Linpy. If not, see . + import unittest -from pypol import * -#from ..domains import * -#from ..linexprs import symbols -#from ..polyhedra import * +from ..domains import * +from ..linexprs import Symbol, symbols +from ..polyhedra import * class TestDomain(unittest.TestCase): @@ -14,12 +30,15 @@ class TestDomain(unittest.TestCase): self.square2 = Polyhedron(inequalities=[x - 1, 3 - x , y - 1, 3 - y]) #correct representation self.square3 = Polyhedron(inequalities=[x, 3 - x, y, 3 - y]) self.square4 = Polyhedron(inequalities=[x - 1, 2 - x, y - 1, 2 - y]) - self.square5 = Polyhedron(inequalities=[x, 3 - x, y]) - self.square6 = Polyhedron(inequalities=[x - 3, 6 - x, y - 3, 6 -y]) + self.square5 = Polyhedron(inequalities=[x - 3, 6 - x, y - 3, 6 -y]) + self.square6 = Polyhedron(equalities=[3 - y], inequalities=[x - 1, 3 - x, y - 1]) + self.unbound_poly = Polyhedron(inequalities=[x, 3 - x, y]) self.universe = Polyhedron([]) + self.empty = Empty self.disjoint = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0)) - self.compliment = Or(Ge(-x - 1, 0), Ge(x - 3, 0), And(Ge(x, 0), Ge(-x + 2, 0), Ge(-y - 1, 0)), And(Ge(x, 0), Ge(-x + 2, 0), Ge(y - 3, 0))) + self.complement = Or(Ge(-x - 1, 0), Ge(x - 3, 0), And(Ge(x, 0), Ge(-x + 2, 0), Ge(-y - 1, 0)), And(Ge(x, 0), Ge(-x + 2, 0), Ge(y - 3, 0))) self.hull = And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0)) + self.dropped = And(Ge(y, 0), Ge(-y + 2, 0)) self.intersection = And(Ge(x - 1, 0), Ge(-x + 2, 0), Ge(y - 1, 0), Ge(-y + 2, 0)) self.union = Or(And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0)), And(Ge(x - 1, 0), Ge(-x + 3, 0), Ge(y - 1, 0), Ge(-y + 3, 0))) self.sum1 = Or(And(Ge(x, 0), Ge(-x + 2, 0), Ge(y, 0), Ge(-y + 2, 0)), And(Ge(x - 1, 0), Ge(-x + 3, 0), Ge(y - 1, 0), Ge(-y + 3, 0))) @@ -28,16 +47,20 @@ class TestDomain(unittest.TestCase): self.difference2 = And(Ge(x + y - 4, 0), Ge(-x + 3, 0), Ge(-y + 3, 0)) self.lexmin = And(Eq(y, 0), Eq(x, 0)) self.lexmax = And(Eq(y - 2, 0), Eq(x - 2, 0)) - + def test_new(self): with self.assertRaises(TypeError): - Polyhedron(1) + Polyhedron(1) def test_disjoint(self): self.assertEqual(self.square1.disjoint(), self.disjoint) - + self.assertEqual(self.empty.disjoint(), Empty) + self.assertEqual(self.universe.disjoint(), self.universe) + def test_isempty(self): self.assertFalse(self.square1.isempty()) + self.assertTrue(self.empty.isempty()) + self.assertFalse(self.universe.isempty()) def test_isuniverse(self): self.assertFalse(self.square1.isuniverse()) @@ -45,70 +68,108 @@ class TestDomain(unittest.TestCase): def test_isbounded(self): self.assertTrue(self.square1.isbounded()) - self.assertFalse(self.square5.isbounded()) + self.assertFalse(self.unbound_poly.isbounded()) def test_eq(self): - self.assertTrue(self.square1.__eq__(self.square1)) - self.assertFalse(self.square1.__eq__(self.square2)) - + self.assertTrue(self.square1 == self.square1) + self.assertFalse(self.square1 == self.square2) + self.assertFalse(self.empty == self.universe) + def test_isdisjoint(self): self.assertFalse(self.square1.isdisjoint(self.square2)) - self.assertTrue(self.square1.isdisjoint(self.square6)) - + self.assertFalse(self.universe.isdisjoint(self.square1)) + self.assertTrue(self.square1.isdisjoint(self.square5)) + self.assertTrue(self.empty.isdisjoint(self.square1)) + def test_issubset(self): - self.assertTrue(self.square4.issubset(self.square5)) + self.assertTrue(self.square4.issubset(self.unbound_poly)) self.assertFalse(self.square1.issubset(self.square2)) - + self.assertTrue(self.square1.issubset(self.universe)) + self.assertTrue(self.empty.issubset(self.square1)) + def test_le(self): - self.assertTrue(self.square4.__lt__(self.square3)) - + self.assertTrue(self.square4 <= self.square3) + self.assertFalse(self.square3 <= self.square4) + self.assertTrue(self.empty <= self.square1) + self.assertTrue(self.square1 <= self.universe) + def test_lt(self): - self.assertTrue(self.square4.__le__(self.square3)) - - def test_compliment(self): - self.assertEqual(~self.square1, self.compliment) - - def test_simplify(self): - #maybe wont need this method - pass - - def test_polyhedral_hull(self): - self.assertEqual(self.square1.polyhedral_hull(), self.hull) - + self.assertTrue(self.square4 < self.square3) + self.assertFalse(self.square3 < self.square4) + self.assertTrue(self.empty < self.square1) + self.assertTrue(self.square1 < self.universe) + + def test_complement(self): + self.assertEqual(~self.square1, self.complement) + self.assertEqual(~self.universe, Empty) + self.assertEqual(~self.empty, self.universe) + + def test_aspolyhedron(self): + self.assertEqual(self.square1.aspolyhedron(), self.hull) + self.assertEqual(self.universe.aspolyhedron(), self.universe) + self.assertEqual(self.empty.aspolyhedron(), self.empty) + def test_project(self): - #maybe wont need this method - pass - + self.assertEqual(self.square1.project(symbols('x')), self.dropped) + self.assertEqual(self.square1.project(symbols('x y')), self.universe) + self.assertEqual(self.universe.project([]), self.universe) + self.assertEqual(self.empty.project([]), Empty) + + def test_simplify(self): + self.assertEqual(self.universe.simplify(), self.universe) + self.assertEqual(self.empty.simplify(), Empty) + def test_sample(self): - pass - + self.assertEqual(self.square6.sample(), {Symbol('x'): 1, Symbol('y'): 3}) + with self.assertRaises(ValueError): + self.empty.sample() + self.assertEqual(self.universe.sample(), {}) + def test_intersection(self): self.assertEqual(self.square1.intersection(self.square2), self.intersection) - + def test_and(self): - self.assertEqual(self.square2 & self.square1, self.intersection) - + self.assertEqual(self.square2 & self.square1, self.intersection) + self.assertEqual(self.square1 & self.universe, self.square1) + self.assertEqual(self.empty & self.square1, Empty) + self.assertEqual(self.universe & self.universe, self.universe) + self.assertEqual(self.universe & self.empty, Empty) + self.assertEqual(self.empty & self.empty, Empty) + def test_union(self): self.assertEqual(self.square1.union(self.square2), self.union) - + self.assertEqual(self.square1.union(self.empty), self.square1) + self.assertEqual(self.square1.union(self.universe), self.universe) + self.assertEqual(self.universe.union(self.universe), self.universe) + self.assertEqual(self.empty.union(self.empty), self.empty) + def test_or(self): - self.assertEqual(self.square1.__or__(self.square2), self.union) - + self.assertEqual(self.square1 | self.square2, self.union) + def test_add(self): - self.assertEqual(self.square2.__add__(self.square1), self.sum1) + self.assertEqual(self.square2 + self.square1, self.sum1) self.assertEqual(Polyhedron(self.square1 + self.square2), self.sum2) - + self.assertEqual(self.universe + self.square1, self.universe) + self.assertEqual(self.empty + self.square1, self.square1) + self.assertEqual(self.universe + self.universe, self.universe) + def test_difference(self): self.assertEqual(self.square2 - self.square1, self.difference1) self.assertEqual(Polyhedron(self.square2 - self.square1), self.difference2) - + self.assertEqual(self.square2 - self.square2, Empty) + self.assertEqual(self.universe - self.universe, Empty) + def test_lexmin(self): self.assertEqual(self.square1.lexmin(), self.lexmin) + self.assertEqual(self.universe.lexmin(), self.universe) + self.assertEqual(self.empty.lexmin(), Empty) def test_lexmax(self): self.assertEqual(self.square1.lexmax(), self.lexmax) - - - - pass + self.assertEqual(self.universe.lexmax(), self.universe) + self.assertEqual(self.empty.lexmax(), Empty) + def test_involves_vars(self): + self.assertTrue(self.square1.involves_vars(symbols('x y'))) + self.assertFalse(self.empty.involves_vars(symbols('x'))) + self.assertFalse(self.universe.involves_vars(symbols('x')))