from fractions import Fraction
from ..linexprs import *
-
-
-try:
- import sympy
- def _requires_sympy(func):
- @functools.wraps(func)
- def wrapper(self):
- return func(self)
- return wrapper
-except ImportError:
- def _requires_sympy(func):
- @functools.wraps(func)
- def wrapper(self):
- raise unittest.SkipTest('SymPy is not available')
- return wrapper
+from .libhelper import requires_sympy
class TestExpression(unittest.TestCase):
def setUp(self):
- self.x = Expression({'x': 1})
- self.y = Expression({'y': 1})
- self.z = Expression({'z': 1})
+ self.x = Symbol('x')
+ self.y = Symbol('y')
+ self.z = Symbol('z')
self.zero = Expression(constant=0)
self.one = Expression(constant=1)
self.pi = Expression(constant=Fraction(22, 7))
def test_new(self):
self.assertIsInstance(self.x, Symbol)
- self.assertIsInstance(self.pi, Constant)
+ self.assertIsInstance(self.pi, Rational)
self.assertNotIsInstance(self.x + self.pi, Symbol)
- self.assertNotIsInstance(self.x + self.pi, Constant)
- xx = Expression({'x': 2})
+ self.assertNotIsInstance(self.x + self.pi, Rational)
+ xx = Expression({self.x: 2})
self.assertNotIsInstance(xx, Symbol)
with self.assertRaises(TypeError):
Expression('x + y', 2)
- self.assertEqual(Expression({'x': 2}), Expression({self.x: 2}))
with self.assertRaises(TypeError):
Expression({0: 2})
with self.assertRaises(TypeError):
Expression(constant='a')
def test_coefficient(self):
- self.assertEqual(self.expr.coefficient('x'), 1)
- self.assertEqual(self.expr.coefficient('y'), -2)
+ self.assertEqual(self.expr.coefficient(self.x), 1)
self.assertEqual(self.expr.coefficient(self.y), -2)
- self.assertEqual(self.expr.coefficient('z'), 0)
+ self.assertEqual(self.expr.coefficient(self.z), 0)
+ with self.assertRaises(TypeError):
+ self.expr.coefficients('x')
with self.assertRaises(TypeError):
self.expr.coefficient(0)
with self.assertRaises(TypeError):
self.expr.coefficient(self.expr)
def test_getitem(self):
- self.assertEqual(self.expr['x'], 1)
- self.assertEqual(self.expr['y'], -2)
+ self.assertEqual(self.expr[self.x], 1)
self.assertEqual(self.expr[self.y], -2)
- self.assertEqual(self.expr['z'], 0)
+ self.assertEqual(self.expr[self.z], 0)
+ with self.assertRaises(TypeError):
+ self.assertEqual(self.expr['x'], 1)
with self.assertRaises(TypeError):
self.expr[0]
with self.assertRaises(TypeError):
self.expr[self.expr]
def test_coefficients(self):
- self.assertCountEqual(self.expr.coefficients(), [('x', 1), ('y', -2)])
+ self.assertListEqual(list(self.expr.coefficients()), [(self.x, 1), (self.y, -2)])
def test_constant(self):
self.assertEqual(self.x.constant, 0)
self.assertEqual(self.expr.constant, 3)
def test_symbols(self):
- self.assertCountEqual(self.x.symbols, ['x'])
- self.assertCountEqual(self.pi.symbols, [])
- self.assertCountEqual(self.expr.symbols, ['x', 'y'])
+ self.assertTupleEqual(self.x.symbols, (self.x,))
+ self.assertTupleEqual(self.pi.symbols, ())
+ self.assertTupleEqual(self.expr.symbols, (self.x, self.y))
def test_dimension(self):
self.assertEqual(self.x.dimension, 1)
self.assertFalse(self.expr.issymbol())
def test_values(self):
- self.assertCountEqual(self.expr.values(), [1, -2, 3])
+ self.assertListEqual(list(self.expr.values()), [1, -2, 3])
def test_bool(self):
self.assertTrue(self.x)
self.assertNotEqual(self.x, self.y)
self.assertEqual(self.zero, 0)
- def test__toint(self):
- self.assertEqual((self.x + self.y/2 + self.z/3)._toint(),
+ def test_scaleint(self):
+ self.assertEqual((self.x + self.y/2 + self.z/3).scaleint(),
6*self.x + 3*self.y + 2*self.z)
def test_subs(self):
- self.assertEqual(self.x.subs('x', 3), 3)
- self.assertEqual(self.x.subs('x', self.x), self.x)
- self.assertEqual(self.x.subs('x', self.y), self.y)
- self.assertEqual(self.x.subs('x', self.x + self.y), self.x + self.y)
- self.assertEqual(self.x.subs('y', 3), self.x)
- self.assertEqual(self.pi.subs('x', 3), self.pi)
- self.assertEqual(self.expr.subs('x', -3), -2 * self.y)
- self.assertEqual(self.expr.subs([('x', self.y), ('y', self.x)]), 3 - self.x)
- self.assertEqual(self.expr.subs({'x': self.y, 'y': self.x}), 3 - self.x)
- self.assertEqual(self.expr.subs({self.x: self.y, self.y: self.x}), 3 - self.x)
+ self.assertEqual(self.x.subs(self.x, 3), 3)
+ self.assertEqual(self.x.subs(self.x, self.x), self.x)
+ self.assertEqual(self.x.subs(self.x, self.y), self.y)
+ self.assertEqual(self.x.subs(self.x, self.x + self.y), self.x + self.y)
+ self.assertEqual(self.x.subs(self.y, 3), self.x)
+ self.assertEqual(self.pi.subs(self.x, 3), self.pi)
+ self.assertEqual(self.expr.subs(self.x, -3), -2 * self.y)
+ self.assertEqual(self.expr.subs([(self.x, self.y), (self.y, self.x)]), 3 - self.x)
+ self.assertEqual(self.expr.subs({self.x: self.z, self.y: self.z}), 3 - self.z)
+ self.assertEqual(self.expr.subs({self.x: self.z, self.y: self.z}), 3 - self.z)
+ with self.assertRaises(TypeError):
+ self.x.subs('x', 3)
+ with self.assertRaises(TypeError):
+ self.expr.subs([('x', self.z), ('y', self.z)])
+ with self.assertRaises(TypeError):
+ self.expr.subs({'x': self.z, 'y': self.z})
+ with self.assertRaises(TypeError):
+ self.expr.subs(self.x, 'x')
def test_fromstring(self):
self.assertEqual(Expression.fromstring('x'), self.x)
self.assertEqual(Expression.fromstring('x - (3-1)y + 3'), self.expr)
self.assertEqual(Expression.fromstring('x - 2*y + 3'), self.expr)
- def test_str(self):
+ def test_repr(self):
self.assertEqual(str(Expression()), '0')
self.assertEqual(str(self.x), 'x')
self.assertEqual(str(-self.x), '-x')
self.assertEqual(str(self.pi), '22/7')
self.assertEqual(str(self.expr), 'x - 2*y + 3')
- def test_repr(self):
- self.assertEqual(repr(self.x), "Symbol('x')")
- self.assertEqual(repr(self.one), 'Constant(1)')
- self.assertEqual(repr(self.pi), 'Constant(22, 7)')
- self.assertEqual(repr(self.x + self.one), "Expression('x + 1')")
- self.assertEqual(repr(self.expr), "Expression('x - 2*y + 3')")
-
- @_requires_sympy
+ @requires_sympy
def test_fromsympy(self):
+ import sympy
sp_x, sp_y = sympy.symbols('x y')
self.assertEqual(Expression.fromsympy(sp_x), self.x)
self.assertEqual(Expression.fromsympy(sympy.Rational(22, 7)), self.pi)
with self.assertRaises(ValueError):
Expression.fromsympy(sp_x*sp_y)
- @_requires_sympy
+ @requires_sympy
def test_tosympy(self):
+ import sympy
sp_x, sp_y = sympy.symbols('x y')
self.assertEqual(self.x.tosympy(), sp_x)
self.assertEqual(self.pi.tosympy(), sympy.Rational(22, 7))
def test_new(self):
self.assertEqual(Symbol(' x '), self.x)
- self.assertEqual(Symbol(self.x), self.x)
+ with self.assertRaises(TypeError):
+ Symbol(self.x)
with self.assertRaises(TypeError):
Symbol(1)
with self.assertRaises(SyntaxError):
Symbol.fromstring('1')
- def test_str(self):
- self.assertEqual(str(self.x), 'x')
-
def test_repr(self):
- self.assertEqual(repr(self.x), "Symbol('x')")
+ self.assertEqual(str(self.x), 'x')
- @_requires_sympy
+ @requires_sympy
def test_fromsympy(self):
+ import sympy
sp_x = sympy.Symbol('x')
self.assertEqual(Symbol.fromsympy(sp_x), self.x)
with self.assertRaises(TypeError):
with self.assertRaises(TypeError):
Symbol.fromsympy(sp_x*sp_x)
- def test_symbols(self):
- self.assertListEqual(list(symbols('x y')), [self.x, self.y])
- self.assertListEqual(list(symbols('x,y')), [self.x, self.y])
- self.assertListEqual(list(symbols(['x', 'y'])), [self.x, self.y])
+
+class TestDummy(unittest.TestCase):
+
+ def setUp(self):
+ self.x = Dummy('x')
+
+ def test_new(self):
+ self.assertEqual(self.x.name, 'x')
+ self.assertTrue(Dummy().name.startswith('Dummy'))
+
+ def test_eq(self):
+ self.assertEqual(self.x, self.x)
+ self.assertNotEqual(self.x, Symbol('x'))
+ self.assertNotEqual(Symbol('x'), self.x)
+ self.assertNotEqual(self.x, Dummy('x'))
+ self.assertNotEqual(Dummy(), Dummy())
+
+
+class TestSymbols(unittest.TestCase):
+
+ def setUp(self):
+ self.x = Symbol('x')
+ self.y = Symbol('y')
+
+ def test(self):
+ self.assertTupleEqual(symbols('x y'), (self.x, self.y))
+ self.assertTupleEqual(symbols('x,y'), (self.x, self.y))
+ self.assertTupleEqual(symbols(['x', 'y']), (self.x, self.y))
+ with self.assertRaises(TypeError):
+ symbols(1)
+ with self.assertRaises(TypeError):
+ symbols(['a', 1])
-class TestConstant(unittest.TestCase):
+class TestRational(unittest.TestCase):
def setUp(self):
- self.zero = Constant(0)
- self.one = Constant(1)
- self.pi = Constant(Fraction(22, 7))
+ self.zero = Rational(0)
+ self.one = Rational(1)
+ self.pi = Rational(Fraction(22, 7))
def test_new(self):
- self.assertEqual(Constant(), self.zero)
- self.assertEqual(Constant(1), self.one)
- self.assertEqual(Constant(self.pi), self.pi)
- self.assertEqual(Constant('22/7'), self.pi)
+ self.assertEqual(Rational(), self.zero)
+ self.assertEqual(Rational(1), self.one)
+ self.assertEqual(Rational(self.pi), self.pi)
+ self.assertEqual(Rational('22/7'), self.pi)
def test_isconstant(self):
self.assertTrue(self.zero.isconstant())
self.assertTrue(self.pi)
def test_fromstring(self):
- self.assertEqual(Constant.fromstring('22/7'), self.pi)
+ self.assertEqual(Rational.fromstring('22/7'), self.pi)
with self.assertRaises(ValueError):
- Constant.fromstring('a')
+ Rational.fromstring('a')
with self.assertRaises(TypeError):
- Constant.fromstring(1)
+ Rational.fromstring(1)
def test_repr(self):
- self.assertEqual(repr(self.zero), 'Constant(0)')
- self.assertEqual(repr(self.one), 'Constant(1)')
- self.assertEqual(repr(self.pi), 'Constant(22, 7)')
+ self.assertEqual(repr(self.zero), '0')
+ self.assertEqual(repr(self.one), '1')
+ self.assertEqual(repr(self.pi), '22/7')
- @_requires_sympy
+ @requires_sympy
def test_fromsympy(self):
- self.assertEqual(Constant.fromsympy(sympy.Rational(22, 7)), self.pi)
+ import sympy
+ self.assertEqual(Rational.fromsympy(sympy.Rational(22, 7)), self.pi)
with self.assertRaises(TypeError):
- Constant.fromsympy(sympy.Symbol('x'))
+ Rational.fromsympy(sympy.Symbol('x'))