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algebra_test.py
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algebra_test.py
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#!/usr/bin/env python
#-*- coding: utf-8 -*-
from random import randint
import psycopg2
import sys
from unittest import TestCase
from datetime import date
from ..init import halftest
from half_orm import relation_errors, model
from half_orm.null import NULL
def name(letter, integer):
return f"{letter}{chr(ord('a') + integer)}"
class Test(TestCase):
def setUp(self):
self.pers = halftest.person_cls()
self.post = halftest.post_cls()
self.today = halftest.today
hexchars = 'abcdef'
self.universe = self.pers()
self.empty_set = self.pers(last_name=NULL)
self.c1 = hexchars[randint(0, len(hexchars) - 1)]
self.c2 = hexchars[randint(0, len(hexchars) - 1)]
self.c3 = hexchars[randint(0, len(hexchars) - 1)]
self.set_1 = self.pers(last_name=('like', f'{self.c1}%'))
self.comp_set_1 = self.pers(
last_name=('not like', f'{self.c1}%'))
self.set_2 = self.pers(last_name=('like', f'_{self.c2}%'))
self.subset_1_2 = self.pers(
last_name=('like', f'{self.c1}{self.c2}%'))
self.set_3 = self.pers(last_name=('like', f'__{self.c3}%'))
def test_universe(self):
self.assertGreaterEqual(len(self.universe), 60)
def test_iand(self):
a = self.set_1
b = self.set_2
c = a & b
a &= b
self.assertTrue(a, c)
def test_ior(self):
a = self.set_1
b = self.set_2
c = a | b
a |= b
self.assertTrue(a, c)
def test_isub(self):
a = self.set_1
b = self.set_2
c = a - b
a -= b
self.assertTrue(a, c)
def test_xor(self):
a = self.set_1
b = self.set_2
self.assertEqual(a ^ b, (a | b) - (a & b))
def test_ixor(self):
a = self.set_1
b = self.set_2
c = a ^ b
a ^= b
self.assertTrue(a, c)
def test_and_1(self):
a = self.set_1
b = self.set_2
self.assertTrue(a & b == a - ( a - b))
def test_and_2(self):
a = self.set_1
b = self.set_2
self.assertTrue(a & b == ((a | b) - (a - b) - ( b - a)))
def test_and_3(self):
a = self.set_1
self.assertTrue(a & a == a)
def test_and_4(self):
a = self.set_1
ab = self.subset_1_2
self.assertTrue(a & ab == ab)
def test_and_5(self):
b = self.set_2
ab = self.subset_1_2
self.assertTrue(b & ab == ab)
def test_and_6(self):
a = self.set_1
b = self.set_2
ab = self.subset_1_2
self.assertTrue(a & b == ab)
def test_and_absorbing_elt(self):
a = self.set_1
empty = self.empty_set
self.assertTrue(a & empty == empty)
self.assertTrue(empty.ho_is_empty())
def test_and_neutral_elt(self):
a = self.set_1
universe = self.universe
self.assertTrue(universe & a == a)
def test_or_1(self):
a = self.set_1
ab = self.subset_1_2
self.assertTrue(a | ab == a)
def test_or_2(self):
b = self.set_2
ab = self.subset_1_2
self.assertTrue(b | ab == b)
def test_or_neutral_elt(self):
a = self.set_1
empty = self.empty_set
self.assertTrue(a | empty == a)
def test_or_absorbing_elt_1(self):
a = self.set_1
universe = self.universe
self.assertTrue(universe | a == universe)
def test_or_absorbing_elt_2(self):
a = self.set_1
universe = self.universe
self.assertTrue(a | universe == universe)
def test_or_absorbing_elt_3(self):
empty = self.empty_set
self.assertTrue(empty | empty == empty)
def test_not(self):
a = self.set_1
empty = self.empty_set
self.assertTrue(a - empty == a)
def test_empty(self):
a = self.set_1
empty = self.empty_set
self.assertTrue(a - a == empty)
def test_complementary_0(self):
a = self.set_1
comp_a = self.comp_set_1
self.assertTrue(-a == comp_a)
def test_complementary_1(self):
a = self.set_1
comp_a = self.comp_set_1
universe = self.universe
self.assertTrue(a | comp_a == universe)
def test_complementary_2(self):
a = self.set_1
comp_a = self.comp_set_1
self.assertTrue(a - comp_a == a)
def test_symetric_difference(self):
a = self.set_1
b = self.set_2
self.assertTrue((a - b) | (b - a) == (a | b) - (a & b))
def test_commutative_laws_1(self):
a = self.set_1
b = self.set_2
self.assertTrue(a & b == b & a)
def test_commutative_laws_2(self):
a = self.set_1
b = self.set_2
self.assertTrue(a | b == b | a)
def test_associative_laws_1(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue(a | (b | c) == (a | b) | c)
def test_associative_laws_2(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue(a & (b & c) == (a & b) & c)
def test_distributive_laws_1(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue(a | (b & c) == (a | b) & (a | c))
def test_distributive_laws_2(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue(a & (b | c) == (a & b) | (a & c))
def test_identity_laws_2(self):
a = self.set_1
universe = self.universe
self.assertTrue(a & universe == a)
def test_complement_laws_2(self):
a = self.set_1
comp_a = self.comp_set_1
empty = self.empty_set
self.assertTrue(a & comp_a == empty)
def test_complement_laws_3(self):
a = self.set_1
universe = self.universe
self.assertTrue(a | (-a) == universe)
def test_complement_laws_4(self):
a = self.set_1
empty = self.empty_set
self.assertTrue(a & (-a) == empty)
def test_idempotent_laws_1(self):
a = self.set_1
self.assertTrue(a | a == a)
def test_domination_laws_2(self):
a = self.set_1
empty = self.empty_set
self.assertTrue(a & empty == empty)
def test_absorption_laws_1(self):
a = self.set_1
b = self.set_2
self.assertTrue(a | (a & b) == a)
def test_absorption_laws_2(self):
a = self.set_1
b = self.set_2
self.assertTrue(a & (a | b) == a)
def test_de_morgan_s_laws_1(self):
a = self.set_1
b = self.set_2
self.assertTrue((-a) | (-b) == -(a & b))
def test_de_morgan_s_laws_2(self):
a = self.set_1
b = self.set_2
self.assertTrue(-(a | b) == (-a) & (-b))
def test_double_complement_law(self):
a = self.set_1
self.assertTrue(-(-a) == a)
def test_empty_universe_complement(self):
universe = self.universe
empty = self.empty_set
self.assertTrue(-empty == universe)
def test_inclusion_1_0(self):
a = self.set_1
self.assertTrue(a in a)
def test_inclusion_1_1(self):
a = self.set_1
ab = self.subset_1_2
self.assertTrue(ab in a)
def test_inclusion_1_2(self):
b = self.set_2
ab = self.subset_1_2
self.assertTrue(ab in b)
def test_ab_equal_a_inter_b(self):
a = self.set_1
b = self.set_2
ab = self.subset_1_2
self.assertTrue(ab == a & b)
def test_inclusion_2(self):
a = self.set_1
empty = self.empty_set
self.assertTrue(empty in a)
def test_inclusion_3(self):
a = self.set_1
universe = self.universe
self.assertTrue(a in universe)
def test_inclusion_4_1(self):
a = self.set_1
b = self.set_2
self.assertTrue(a in a | b)
def test_inclusion_4_2(self):
a = self.set_1
b = self.set_2
self.assertTrue(b in a | b)
def test_inclusion_5(self):
a = self.set_1
ab = self.subset_1_2
empty = self.empty_set
self.assertTrue(ab - a == empty)
def test_inclusion_6(self):
a = self.set_1
ab = self.subset_1_2
self.assertTrue(-a in -ab)
def test_relative_complement_1(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue(c - (a & b) == (c - a) | (c - b))
def test_relative_complement_2(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue(c - (a | b) == (c - a) & (c - b))
def test_relative_complement_3(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue(c - (b - a) == (a & c) | (c - b))
def test_relative_complement_4(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue((b - a) & c == (b & c) - a)
def test_relative_complement_5(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue((b - a) & c == b & (c - a))
def test_relative_complement_6(self):
a = self.set_1
b = self.set_2
c = self.set_3
self.assertTrue((b - a) | c == (b | c) - (a - c))
def test_relative_complement_8(self):
a = self.set_1
empty = self.empty_set
self.assertTrue(empty - a == empty)
def test_relative_complement_10(self):
a = self.set_1
b = self.set_2
self.assertTrue(b - a == -a & b)
def test_relative_complement_11(self):
a = self.set_1
b = self.set_2
self.assertTrue(-(b - a) == a | (-b))
def test_relative_complement_12(self):
a = self.set_1
universe = self.universe
self.assertTrue(universe - a == -a)
def test_relative_complement_13(self):
a = self.set_1
empty = self.empty_set
universe = self.universe
self.assertTrue(a - universe == empty)
def test_inequality_0(self):
a = self.set_1
self.assertFalse(a != a)
def test_ne(self):
a = self.set_1
self.assertNotEqual(-a, a)