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# This Python file uses the following encoding: utf-8 |
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from unittest import TestCase |
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from galactic.type.number import * |
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class ImpreciseFloatTest(TestCase): |
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def test___init__(self): |
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infinity = ImpreciseFloat() |
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self.assertEqual( |
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infinity.inf, |
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-math.inf, |
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"The lower limit of the real line is not correct" |
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) |
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self.assertEqual( |
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infinity.sup, |
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math.inf, |
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"The upper limit of the real line is not correct" |
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) |
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lower_bounded = ImpreciseFloat(inf=0) |
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self.assertEqual( |
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lower_bounded.inf, |
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0, |
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"The lower limit of the positive numbers is not correct" |
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) |
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upper_bounded = ImpreciseFloat(sup=0) |
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self.assertEqual( |
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upper_bounded.sup, |
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0, |
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"The upper limit of the negative numbers is not correct" |
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) |
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contradiction = ImpreciseFloat(inf=5, sup=0) |
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self.assertEqual( |
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contradiction.inf, |
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math.inf, |
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"The lower limit of the contradiction is not correct" |
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) |
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self.assertEqual( |
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contradiction.sup, |
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-math.inf, |
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"The upper limit of the contradiction is not correct" |
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) |
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def test___le__(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_10_20 = ImpreciseFloat(inf=10, sup=20) |
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self.assertTrue( |
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i_5_10.issubset(i_5_15), |
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"[5,10] <= [5,15]" |
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) |
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self.assertTrue( |
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i_5_10.issubset(i_5_10), |
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"[5,10] <= [5,10]" |
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) |
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self.assertFalse( |
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i_5_10.issubset(i_10_20), |
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"not [5,10] <= [10,20]" |
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) |
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def test___lt__(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_10_20 = ImpreciseFloat(inf=10, sup=20) |
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self.assertTrue( |
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i_5_10 < i_5_15, |
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"[5,10] < [5,15]" |
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) |
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self.assertFalse( |
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i_5_10 < i_5_10, |
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"not [5,10] < [5,10]" |
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) |
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self.assertFalse( |
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i_5_10 < i_10_20, |
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"not [5,10] < [10,20]" |
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) |
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def test___ge__(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_10_20 = ImpreciseFloat(inf=10, sup=20) |
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self.assertTrue( |
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i_5_15.issuperset(i_5_10), |
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"[5,15] >= [5,10]" |
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) |
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self.assertTrue( |
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i_5_10.issuperset(i_5_10), |
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"[5,10] >= [5,10]" |
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) |
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self.assertFalse( |
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i_5_10.issuperset(i_10_20), |
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"not [5,10] >= [10,20]" |
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) |
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def test___gt__(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_10_20 = ImpreciseFloat(inf=10, sup=20) |
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self.assertTrue( |
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i_5_15 > i_5_10, |
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"[5,15] > [5,10]" |
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) |
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self.assertFalse( |
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i_5_10 > i_5_10, |
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"not [5,10] > [5,10]" |
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) |
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self.assertFalse( |
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i_5_10 > i_10_20, |
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"not [5,10] > [10,20]" |
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) |
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def test___and__(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_10_20 = ImpreciseFloat(inf=10, sup=20) |
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self.assertEqual( |
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i_5_15 & i_5_10, |
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ImpreciseFloat(inf=5, sup=10), |
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"[5,15] & [5,10] = [5,10]" |
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) |
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self.assertEqual( |
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i_5_15 & i_10_20, |
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ImpreciseFloat(inf=10, sup=15), |
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"[5,15] & [10,20] = [10,15]" |
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) |
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def test___or__(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_10_20 = ImpreciseFloat(inf=10, sup=20) |
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self.assertEqual( |
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i_5_15 | i_5_10, |
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ImpreciseFloat(inf=5, sup=15), |
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"[5,15] | [5,10] = [5,15]" |
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) |
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self.assertEqual( |
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i_5_15 | i_10_20, |
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ImpreciseFloat(inf=5, sup=20), |
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"[5,15] | [10,20] = [5,20]" |
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) |
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def test__isdisjoint(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_15_20 = ImpreciseFloat(inf=15, sup=20) |
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self.assertTrue( |
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i_5_10.isdisjoint(i_15_20), |
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"[5,10] is disjoint of [15,20]" |
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) |
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self.assertFalse( |
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i_5_15.isdisjoint(i_15_20), |
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"[5,15] is not disjoint of [15,20]" |
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) |
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def test_union(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_10_20 = ImpreciseFloat(inf=10, sup=20) |
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self.assertEqual( |
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i_5_15.union(i_5_10, i_10_20), |
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ImpreciseFloat(inf=5, sup=20), |
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"[5,15] | [5,10] | [10,20] = [5,20]" |
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) |
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def test_intersection(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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i_5_15 = ImpreciseFloat(inf=5, sup=15) |
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i_10_20 = ImpreciseFloat(inf=10, sup=20) |
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self.assertEqual( |
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i_5_15.intersection(i_5_10, i_10_20), |
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ImpreciseFloat(inf=10, sup=10), |
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"[5,15] & [5,10] & [10,20] = [10,10]" |
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) |
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def test___repr__(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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self.assertEqual( |
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repr(i_5_10), |
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"ImpreciseFloat(inf=5.0, sup=10.0)", |
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"[5,15] & [5,10] & [10,20] = [10,10]" |
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) |
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def test___str__(self): |
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i_5_10 = ImpreciseFloat(inf=5, sup=10) |
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print(i_5_10) |
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self.assertEqual( |
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str(i_5_10), |
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"[5.0:10.0]", |
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"str(ImpreciseFloat(inf=5, sup=10)) == [5.0:10.0]" |
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) |
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