16b9cdefd446c3c38eec11fa88e709dcb4a29300
1 # Copyright 2014 MINES ParisTech
2 #
3 # This file is part of LinPy.
4 #
5 # LinPy is free software: you can redistribute it and/or modify
7 # the Free Software Foundation, either version 3 of the License, or
8 # (at your option) any later version.
9 #
10 # LinPy is distributed in the hope that it will be useful,
11 # but WITHOUT ANY WARRANTY; without even the implied warranty of
12 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 # GNU General Public License for more details.
14 #
15 # You should have received a copy of the GNU General Public License
16 # along with LinPy. If not, see <http://www.gnu.org/licenses/>.
18 import functools
19 import unittest
21 from fractions import Fraction
23 from ..linexprs import *
24 from .libhelper import requires_sympy
27 class TestExpression(unittest.TestCase):
29 def setUp(self):
30 self.x = Symbol('x')
31 self.y = Symbol('y')
32 self.z = Symbol('z')
33 self.zero = Expression(constant=0)
34 self.one = Expression(constant=1)
35 self.pi = Expression(constant=Fraction(22, 7))
36 self.expr = self.x - 2*self.y + 3
38 def test_new(self):
39 self.assertIsInstance(Expression(coefficients={self.x: 1}), Symbol)
40 self.assertIsInstance(Expression(constant=self.pi), Rational)
41 self.assertNotIsInstance(self.x + self.pi, Symbol)
42 self.assertNotIsInstance(self.x + self.pi, Rational)
43 xx = Expression({self.x: 2})
44 self.assertNotIsInstance(xx, Symbol)
45 with self.assertRaises(TypeError):
46 Expression('x + y', 2)
47 with self.assertRaises(TypeError):
48 Expression({0: 2})
49 with self.assertRaises(TypeError):
50 Expression({'x': '2'})
51 self.assertEqual(Expression(constant=1), Expression(constant=self.one))
52 self.assertEqual(Expression(constant='1'), Expression(constant=self.one))
53 with self.assertRaises(ValueError):
54 Expression(constant='a')
56 def test_coefficient(self):
57 self.assertEqual(self.expr.coefficient(self.x), 1)
58 self.assertEqual(self.expr.coefficient(self.y), -2)
59 self.assertEqual(self.expr.coefficient(self.z), 0)
60 with self.assertRaises(TypeError):
61 self.expr.coefficients('x')
62 with self.assertRaises(TypeError):
63 self.expr.coefficient(0)
64 with self.assertRaises(TypeError):
65 self.expr.coefficient(self.expr)
67 def test_getitem(self):
68 self.assertEqual(self.expr[self.x], 1)
69 self.assertEqual(self.expr[self.y], -2)
70 self.assertEqual(self.expr[self.z], 0)
71 with self.assertRaises(TypeError):
72 self.assertEqual(self.expr['x'], 1)
73 with self.assertRaises(TypeError):
74 self.expr[0]
75 with self.assertRaises(TypeError):
76 self.expr[self.expr]
78 def test_coefficients(self):
79 self.assertListEqual(list(self.expr.coefficients()), [(self.x, 1), (self.y, -2)])
81 def test_constant(self):
82 self.assertEqual(self.x.constant, 0)
83 self.assertEqual(self.pi.constant, Fraction(22, 7))
84 self.assertEqual(self.expr.constant, 3)
86 def test_symbols(self):
87 self.assertTupleEqual(self.x.symbols, (self.x,))
88 self.assertTupleEqual(self.pi.symbols, ())
89 self.assertTupleEqual(self.expr.symbols, (self.x, self.y))
91 def test_dimension(self):
92 self.assertEqual(self.x.dimension, 1)
93 self.assertEqual(self.pi.dimension, 0)
94 self.assertEqual(self.expr.dimension, 2)
96 def test_isconstant(self):
97 self.assertFalse(self.x.isconstant())
98 self.assertTrue(self.pi.isconstant())
99 self.assertFalse(self.expr.isconstant())
101 def test_issymbol(self):
102 self.assertTrue(self.x.issymbol())
103 self.assertFalse(self.pi.issymbol())
104 self.assertFalse(self.expr.issymbol())
106 def test_values(self):
107 self.assertListEqual(list(self.expr.values()), [1, -2, 3])
109 def test_bool(self):
110 self.assertTrue(self.x)
111 self.assertFalse(self.zero)
112 self.assertTrue(self.pi)
113 self.assertTrue(self.expr)
115 def test_pos(self):
116 self.assertEqual(+self.expr, self.expr)
118 def test_neg(self):
119 self.assertEqual(-self.expr, -self.x + 2*self.y - 3)
122 self.assertEqual(self.x + Fraction(22, 7), self.x + self.pi)
123 self.assertEqual(Fraction(22, 7) + self.x, self.x + self.pi)
124 self.assertEqual(self.x + self.x, 2 * self.x)
125 self.assertEqual(self.expr + 2*self.y, self.x + 3)
127 def test_sub(self):
128 self.assertEqual(self.x - self.x, 0)
129 self.assertEqual(self.expr - 3, self.x - 2*self.y)
130 self.assertEqual(0 - self.x, -self.x)
132 def test_mul(self):
133 self.assertEqual(self.pi * 7, 22)
134 self.assertEqual(self.expr * 0, 0)
135 self.assertEqual(0 * self.expr, 0)
136 self.assertEqual(self.expr * 2, 2*self.x - 4*self.y + 6)
137 with self.assertRaises(TypeError):
138 self.x * self.x
140 def test_truediv(self):
141 with self.assertRaises(ZeroDivisionError):
142 self.expr / 0
143 self.assertEqual(self.expr / 2, self.x / 2 - self.y + Fraction(3, 2))
144 with self.assertRaises(TypeError):
145 self.x / self.x
147 def test_eq(self):
148 self.assertEqual(self.expr, self.expr)
149 self.assertNotEqual(self.x, self.y)
150 self.assertEqual(self.zero, 0)
152 def test_scaleint(self):
153 self.assertEqual((self.x + self.y/2 + self.z/3).scaleint(),
154 6*self.x + 3*self.y + 2*self.z)
156 def test_subs(self):
157 self.assertEqual(self.x.subs(self.x, 3), 3)
158 self.assertEqual(self.x.subs(self.x, self.x), self.x)
159 self.assertEqual(self.x.subs(self.x, self.y), self.y)
160 self.assertEqual(self.x.subs(self.x, self.x + self.y), self.x + self.y)
161 self.assertEqual(self.x.subs(self.y, 3), self.x)
162 self.assertEqual(self.pi.subs(self.x, 3), self.pi)
163 self.assertEqual(self.expr.subs(self.x, -3), -2 * self.y)
164 self.assertEqual(self.expr.subs([(self.x, self.y), (self.y, self.x)]), 3 - self.x)
165 self.assertEqual(self.expr.subs({self.x: self.z, self.y: self.z}), 3 - self.z)
166 self.assertEqual(self.expr.subs({self.x: self.z, self.y: self.z}), 3 - self.z)
167 with self.assertRaises(TypeError):
168 self.x.subs('x', 3)
169 with self.assertRaises(TypeError):
170 self.expr.subs([('x', self.z), ('y', self.z)])
171 with self.assertRaises(TypeError):
172 self.expr.subs({'x': self.z, 'y': self.z})
173 with self.assertRaises(TypeError):
174 self.expr.subs(self.x, 'x')
176 def test_fromstring(self):
177 self.assertEqual(Expression.fromstring('x'), self.x)
178 self.assertEqual(Expression.fromstring('-x'), -self.x)
179 self.assertEqual(Expression.fromstring('22/7'), self.pi)
180 self.assertEqual(Expression.fromstring('x - 2y + 3'), self.expr)
181 self.assertEqual(Expression.fromstring('x - (3-1)y + 3'), self.expr)
182 self.assertEqual(Expression.fromstring('x - 2*y + 3'), self.expr)
184 def test_repr(self):
185 self.assertEqual(str(Expression()), '0')
186 self.assertEqual(str(self.x), 'x')
187 self.assertEqual(str(-self.x), '-x')
188 self.assertEqual(str(self.pi), '22/7')
189 self.assertEqual(str(self.expr), 'x - 2*y + 3')
191 @requires_sympy
192 def test_fromsympy(self):
193 import sympy
194 sp_x, sp_y = sympy.symbols('x y')
195 self.assertEqual(Expression.fromsympy(sp_x), self.x)
196 self.assertEqual(Expression.fromsympy(sympy.Rational(22, 7)), self.pi)
197 self.assertEqual(Expression.fromsympy(sp_x - 2*sp_y + 3), self.expr)
198 with self.assertRaises(ValueError):
199 Expression.fromsympy(sp_x*sp_y)
201 @requires_sympy
202 def test_tosympy(self):
203 import sympy
204 sp_x, sp_y = sympy.symbols('x y')
205 self.assertEqual(self.x.tosympy(), sp_x)
206 self.assertEqual(self.pi.tosympy(), sympy.Rational(22, 7))
207 self.assertEqual(self.expr.tosympy(), sp_x - 2*sp_y + 3)
210 class TestSymbol(unittest.TestCase):
212 def setUp(self):
213 self.x = Symbol('x')
214 self.y = Symbol('y')
216 def test_new(self):
217 self.assertEqual(Symbol(' x '), self.x)
218 with self.assertRaises(TypeError):
219 Symbol(self.x)
220 with self.assertRaises(TypeError):
221 Symbol(1)
223 def test_name(self):
224 self.assertEqual(self.x.name, 'x')
226 def test_issymbol(self):
227 self.assertTrue(self.x.issymbol())
229 def test_fromstring(self):
230 self.assertEqual(Symbol.fromstring('x'), self.x)
231 with self.assertRaises(SyntaxError):
232 Symbol.fromstring('1')
234 def test_repr(self):
235 self.assertEqual(str(self.x), 'x')
237 @requires_sympy
238 def test_fromsympy(self):
239 import sympy
240 sp_x = sympy.Symbol('x')
241 self.assertEqual(Symbol.fromsympy(sp_x), self.x)
242 with self.assertRaises(TypeError):
243 Symbol.fromsympy(sympy.Rational(22, 7))
244 with self.assertRaises(TypeError):
245 Symbol.fromsympy(2 * sp_x)
246 with self.assertRaises(TypeError):
247 Symbol.fromsympy(sp_x*sp_x)
250 class TestDummy(unittest.TestCase):
252 def setUp(self):
253 self.x = Dummy('x')
255 def test_new(self):
256 self.assertEqual(self.x.name, 'x')
257 self.assertTrue(Dummy().name.startswith('Dummy'))
259 def test_eq(self):
260 self.assertEqual(self.x, self.x)
261 self.assertNotEqual(self.x, Symbol('x'))
262 self.assertNotEqual(Symbol('x'), self.x)
263 self.assertNotEqual(self.x, Dummy('x'))
264 self.assertNotEqual(Dummy(), Dummy())
266 def test_repr(self):
267 self.assertEqual(repr(self.x), '_x')
268 dummy1 = Dummy()
269 dummy2 = Dummy()
270 self.assertTrue(repr(dummy1).startswith('_Dummy_'))
271 self.assertNotEqual(repr(dummy1), repr(dummy2))
274 class TestSymbols(unittest.TestCase):
276 def setUp(self):
277 self.x = Symbol('x')
278 self.y = Symbol('y')
280 def test(self):
281 self.assertTupleEqual(symbols('x y'), (self.x, self.y))
282 self.assertTupleEqual(symbols('x,y'), (self.x, self.y))
283 self.assertTupleEqual(symbols(['x', 'y']), (self.x, self.y))
284 with self.assertRaises(TypeError):
285 symbols(1)
286 with self.assertRaises(TypeError):
287 symbols(['a', 1])
290 class TestRational(unittest.TestCase):
292 def setUp(self):
293 self.zero = Rational(0)
294 self.one = Rational(1)
295 self.pi = Rational(22, 7)
297 def test_new(self):
298 self.assertEqual(Rational(), self.zero)
299 self.assertEqual(Rational(1), self.one)
300 self.assertEqual(Rational(self.pi), self.pi)
301 self.assertEqual(Rational('22/7'), self.pi)
303 def test_hash(self):
304 self.assertEqual(hash(self.one), hash(1))
305 self.assertEqual(hash(self.pi), hash(Fraction(22, 7)))
307 def test_isconstant(self):
308 self.assertTrue(self.zero.isconstant())
310 def test_bool(self):
311 self.assertFalse(self.zero)
312 self.assertTrue(self.pi)
314 def test_repr(self):
315 self.assertEqual(repr(self.zero), '0')
316 self.assertEqual(repr(self.one), '1')
317 self.assertEqual(repr(self.pi), '22/7')
319 @requires_sympy
320 def test_fromsympy(self):
321 import sympy
322 self.assertEqual(Rational.fromsympy(sympy.Rational(22, 7)), self.pi)
323 with self.assertRaises(TypeError):
324 Rational.fromsympy(sympy.Symbol('x'))