pypol/tests/test_linexprs.py

   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
   6 # it under the terms of the GNU General Public License as published by
   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/>.
  17
  18 import functools
  19 import unittest
  20
  21 from fractions import Fraction
  22
  23 from ..linexprs import *
  24 from .libhelper import requires_sympy
  25
  26
  27 class TestExpression(unittest.TestCase):
  28
  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
  37
  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')
  55
  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)
  66
  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]
  77
  78     def test_coefficients(self):
  79         self.assertListEqual(list(self.expr.coefficients()), [(self.x, 1), (self.y, -2)])
  80
  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)
  85
  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))
  90
  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)
  95
  96     def test_isconstant(self):
  97         self.assertFalse(self.x.isconstant())
  98         self.assertTrue(self.pi.isconstant())
  99         self.assertFalse(self.expr.isconstant())
 100
 101     def test_issymbol(self):
 102         self.assertTrue(self.x.issymbol())
 103         self.assertFalse(self.pi.issymbol())
 104         self.assertFalse(self.expr.issymbol())
 105
 106     def test_values(self):
 107         self.assertListEqual(list(self.expr.values()), [1, -2, 3])
 108
 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)
 114
 115     def test_pos(self):
 116         self.assertEqual(+self.expr, self.expr)
 117
 118     def test_neg(self):
 119         self.assertEqual(-self.expr, -self.x + 2*self.y - 3)
 120
 121     def test_add(self):
 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)
 126
 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)
 131
 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
 139
 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
 146
 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)
 151
 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)
 155
 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')
 175
 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)
 183
 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')
 190
 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)
 200
 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)
 208
 209
 210 class TestSymbol(unittest.TestCase):
 211
 212     def setUp(self):
 213         self.x = Symbol('x')
 214         self.y = Symbol('y')
 215
 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)
 222
 223     def test_name(self):
 224         self.assertEqual(self.x.name, 'x')
 225
 226     def test_issymbol(self):
 227         self.assertTrue(self.x.issymbol())
 228
 229     def test_fromstring(self):
 230         self.assertEqual(Symbol.fromstring('x'), self.x)
 231         with self.assertRaises(SyntaxError):
 232             Symbol.fromstring('1')
 233
 234     def test_repr(self):
 235         self.assertEqual(str(self.x), 'x')
 236
 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)
 248
 249
 250 class TestDummy(unittest.TestCase):
 251
 252     def setUp(self):
 253         self.x = Dummy('x')
 254
 255     def test_new(self):
 256         self.assertEqual(self.x.name, 'x')
 257         self.assertTrue(Dummy().name.startswith('Dummy'))
 258
 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())
 265
 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))
 272
 273
 274 class TestSymbols(unittest.TestCase):
 275
 276     def setUp(self):
 277         self.x = Symbol('x')
 278         self.y = Symbol('y')
 279
 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])
 288
 289
 290 class TestRational(unittest.TestCase):
 291
 292     def setUp(self):
 293         self.zero = Rational(0)
 294         self.one = Rational(1)
 295         self.pi = Rational(22, 7)
 296
 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)
 302
 303     def test_hash(self):
 304         self.assertEqual(hash(self.one), hash(1))
 305         self.assertEqual(hash(self.pi), hash(Fraction(22, 7)))
 306
 307     def test_isconstant(self):
 308         self.assertTrue(self.zero.isconstant())
 309
 310     def test_bool(self):
 311         self.assertFalse(self.zero)
 312         self.assertTrue(self.pi)
 313
 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')
 318
 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'))