+++ /dev/null
-import functools
-import unittest
-
-from fractions import Fraction
-
-from pypol.linear 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
-
-
-class TestExpression(unittest.TestCase):
-
- def setUp(self):
- self.x = Expression({'x': 1})
- self.y = Expression({'y': 1})
- self.z = Expression({'z': 1})
- self.zero = Expression(constant=0)
- self.one = Expression(constant=1)
- self.pi = Expression(constant=Fraction(22, 7))
- self.expr = self.x - 2*self.y + 3
-
- def test_new_subclass(self):
- self.assertIsInstance(self.x, Symbol)
- self.assertIsInstance(self.pi, Constant)
- self.assertNotIsInstance(self.x + self.pi, Symbol)
- self.assertNotIsInstance(self.x + self.pi, Constant)
- xx = Expression({'x': 2})
- self.assertNotIsInstance(xx, Symbol)
-
- def test_new_types(self):
- 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({'x': '2'})
- self.assertEqual(Expression(constant=1), Expression(constant=self.one))
- with self.assertRaises(TypeError):
- Expression(constant='1')
-
- def test_symbols(self):
- self.assertCountEqual(self.x.symbols, ['x'])
- self.assertCountEqual(self.pi.symbols, [])
- self.assertCountEqual(self.expr.symbols, ['x', 'y'])
-
- def test_dimension(self):
- self.assertEqual(self.x.dimension, 1)
- self.assertEqual(self.pi.dimension, 0)
- self.assertEqual(self.expr.dimension, 2)
-
- def test_coefficient(self):
- self.assertEqual(self.expr.coefficient('x'), 1)
- self.assertEqual(self.expr.coefficient('y'), -2)
- self.assertEqual(self.expr.coefficient(self.y), -2)
- self.assertEqual(self.expr.coefficient('z'), 0)
- 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.y], -2)
- self.assertEqual(self.expr['z'], 0)
- 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)])
-
- def test_constant(self):
- self.assertEqual(self.x.constant, 0)
- self.assertEqual(self.pi.constant, Fraction(22, 7))
- self.assertEqual(self.expr.constant, 3)
-
- def test_isconstant(self):
- self.assertFalse(self.x.isconstant())
- self.assertTrue(self.pi.isconstant())
- self.assertFalse(self.expr.isconstant())
-
- def test_values(self):
- self.assertCountEqual(self.expr.values(), [1, -2, 3])
-
- def test_issymbol(self):
- self.assertTrue(self.x.issymbol())
- self.assertFalse(self.pi.issymbol())
- self.assertFalse(self.expr.issymbol())
-
- def test_bool(self):
- self.assertTrue(self.x)
- self.assertFalse(self.zero)
- self.assertTrue(self.pi)
- self.assertTrue(self.expr)
-
- def test_pos(self):
- self.assertEqual(+self.expr, self.expr)
-
- def test_neg(self):
- self.assertEqual(-self.expr, -self.x + 2*self.y - 3)
-
- def test_add(self):
- self.assertEqual(self.x + Fraction(22, 7), self.x + self.pi)
- self.assertEqual(Fraction(22, 7) + self.x, self.x + self.pi)
- self.assertEqual(self.x + self.x, 2 * self.x)
- self.assertEqual(self.expr + 2*self.y, self.x + 3)
-
- def test_sub(self):
- self.assertEqual(self.x - self.x, 0)
- self.assertEqual(self.expr - 3, self.x - 2*self.y)
- self.assertEqual(0 - self.x, -self.x)
-
- def test_mul(self):
- self.assertEqual(self.pi * 7, 22)
- self.assertEqual(self.expr * 0, 0)
- self.assertEqual(0 * self.expr, 0)
- self.assertEqual(self.expr * 2, 2*self.x - 4*self.y + 6)
-
- def test_div(self):
- with self.assertRaises(ZeroDivisionError):
- self.expr / 0
- self.assertEqual(self.expr / 2, self.x / 2 - self.y + Fraction(3, 2))
-
- def test_str(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')")
-
- def test_fromstring(self):
- self.assertEqual(Expression.fromstring('x'), self.x)
- self.assertEqual(Expression.fromstring('-x'), -self.x)
- self.assertEqual(Expression.fromstring('22/7'), self.pi)
- self.assertEqual(Expression.fromstring('x - 2y + 3'), self.expr)
- self.assertEqual(Expression.fromstring('x - (3-1)y + 3'), self.expr)
- self.assertEqual(Expression.fromstring('x - 2*y + 3'), self.expr)
-
- def test_eq(self):
- self.assertEqual(self.expr, self.expr)
- 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(),
- 6*self.x + 3*self.y + 2*self.z)
-
- @_requires_sympy
- def test_fromsympy(self):
- 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)
- self.assertEqual(Expression.fromsympy(sp_x - 2*sp_y + 3), self.expr)
- with self.assertRaises(ValueError):
- Expression.fromsympy(sp_x*sp_y)
-
- @_requires_sympy
- def test_tosympy(self):
- sp_x, sp_y = sympy.symbols('x y')
- self.assertEqual(self.x.tosympy(), sp_x)
- self.assertEqual(self.pi.tosympy(), sympy.Rational(22, 7))
- self.assertEqual(self.expr.tosympy(), sp_x - 2*sp_y + 3)
-
-
-class TestConstant(unittest.TestCase):
-
- def setUp(self):
- self.zero = Constant(0)
- self.one = Constant(1)
- self.pi = Constant(Fraction(22, 7))
-
- @_requires_sympy
- def test_fromsympy(self):
- self.assertEqual(Constant.fromsympy(sympy.Rational(22, 7)), self.pi)
- with self.assertRaises(TypeError):
- Constant.fromsympy(sympy.Symbol('x'))
-
-
-class TestSymbol(unittest.TestCase):
-
- def setUp(self):
- self.x = Symbol('x')
- self.y = Symbol('y')
-
- def test_name(self):
- self.assertEqual(self.x.name, '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])
-
- @_requires_sympy
- def test_fromsympy(self):
- sp_x = sympy.Symbol('x')
- self.assertEqual(Symbol.fromsympy(sp_x), self.x)
- with self.assertRaises(TypeError):
- Symbol.fromsympy(sympy.Rational(22, 7))
- with self.assertRaises(TypeError):
- Symbol.fromsympy(2 * sp_x)
- with self.assertRaises(TypeError):
- Symbol.fromsympy(sp_x*sp_x)
-
-
-class TestOperators(unittest.TestCase):
-
- pass
-
-
-class TestPolyhedron(unittest.TestCase):
-
- def setUp(self):
- x, y = symbols('x y')
- self.square = Polyhedron(inequalities=[x, 1 - x, y, 1 - y])
-
- def test_symbols(self):
- self.assertCountEqual(self.square.symbols, ['x', 'y'])
-
- def test_dimension(self):
- self.assertEqual(self.square.dimension, 2)
-
- def test_str(self):
- self.assertEqual(str(self.square),
- 'x >= 0, -x + 1 >= 0, y >= 0, -y + 1 >= 0')
-
- def test_repr(self):
- self.assertEqual(repr(self.square),
- "Polyhedron('x >= 0, -x + 1 >= 0, y >= 0, -y + 1 >= 0')")
-
- def test_fromstring(self):
- self.assertEqual(Polyhedron.fromstring('{x >= 0, -x + 1 >= 0, '
- 'y >= 0, -y + 1 >= 0}'), self.square)
-
- def test_isempty(self):
- self.assertFalse(self.square.isempty())
-
- def test_isuniverse(self):
- self.assertFalse(self.square.isuniverse())
-
- @unittest.expectedFailure
- @_requires_sympy
- def test_fromsympy(self):
- sp_x, sp_y = sympy.symbols('x y')
- self.assertEqual(Polyhedron.fromsympy((sp_x >= 0) & (sp_x <= 1) &
- (sp_y >= 0) & (sp_y <= 1)), self.square)
-
- @_requires_sympy
- def test_tosympy(self):
- sp_x, sp_y = sympy.symbols('x y')
- self.assertEqual(self.square.tosympy(),
- sympy.And(-sp_x + 1 >= 0, -sp_y + 1 >= 0, sp_x >= 0, sp_y >= 0))
-
-
-class TestEmpty:
-
- def test_repr(self):
- self.assertEqual(repr(Empty), 'Empty')
-
- def test_isempty(self):
- self.assertTrue(Empty.isempty())
-
- def test_isuniverse(self):
- self.assertFalse(Empty.isuniverse())
-
-
-class TestUniverse:
-
- def test_repr(self):
- self.assertEqual(repr(Universe), 'Universe')
-
- def test_isempty(self):
- self.assertTrue(Universe.isempty())
-
- def test_isuniverse(self):
- self.assertTrue(Universe.isuniverse())
projects / linpy.git / blobdiff