-
+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 = symbol('x')
- self.y = symbol('y')
- self.z = symbol('z')
- self.zero = constant(0)
- self.pi = constant(Fraction(22, 7))
- self.e = self.x - 2*self.y + 3
-
- def test_new(self):
- pass
+ 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.e.symbols(), ['x', 'y'])
+ 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.e.dimension, 2)
+ self.assertEqual(self.expr.dimension, 2)
def test_coefficient(self):
- self.assertEqual(self.e.coefficient('x'), 1)
- self.assertEqual(self.e.coefficient('y'), -2)
- self.assertEqual(self.e.coefficient(self.y), -2)
- self.assertEqual(self.e.coefficient('z'), 0)
+ 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.e.coefficient(0)
+ self.expr.coefficient(0)
with self.assertRaises(TypeError):
- self.e.coefficient(self.e)
+ self.expr.coefficient(self.expr)
def test_getitem(self):
- self.assertEqual(self.e['x'], 1)
- self.assertEqual(self.e['y'], -2)
- self.assertEqual(self.e[self.y], -2)
- self.assertEqual(self.e['z'], 0)
+ 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.e[0]
+ self.expr[0]
with self.assertRaises(TypeError):
- self.e[self.e]
+ self.expr[self.expr]
def test_coefficients(self):
- self.assertCountEqual(self.e.coefficients(), [('x', 1), ('y', -2)])
+ 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.e.constant, 3)
+ self.assertEqual(self.expr.constant, 3)
def test_isconstant(self):
self.assertFalse(self.x.isconstant())
self.assertTrue(self.pi.isconstant())
- self.assertFalse(self.e.isconstant())
+ self.assertFalse(self.expr.isconstant())
def test_values(self):
- self.assertCountEqual(self.e.values(), [1, -2, 3])
-
- def test_symbol(self):
- self.assertEqual(self.x.symbol(), 'x')
- with self.assertRaises(ValueError):
- self.pi.symbol()
- with self.assertRaises(ValueError):
- self.e.symbol()
+ 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.e.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.e)
+ self.assertTrue(self.expr)
def test_pos(self):
- self.assertEqual(+self.e, self.e)
+ self.assertEqual(+self.expr, self.expr)
def test_neg(self):
- self.assertEqual(-self.e, -self.x + 2*self.y - 3)
+ 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.e + 2*self.y, self.x + 3)
+ self.assertEqual(self.expr + 2*self.y, self.x + 3)
def test_sub(self):
self.assertEqual(self.x - self.x, 0)
- self.assertEqual(self.e - 3, self.x - 2*self.y)
+ 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.e * 0, 0)
- self.assertEqual(self.e * 2, 2*self.x - 4*self.y + 6)
+ 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.e / 0
- self.assertEqual(self.e / 2, self.x / 2 - self.y + Fraction(3, 2))
+ 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.e), 'x - 2*y + 3')
+ self.assertEqual(str(self.expr), 'x - 2*y + 3')
def test_repr(self):
- self.assertEqual(repr(self.e), "Expression({'x': 1, 'y': -2}, 3)")
+ 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')")
- @unittest.expectedFailure
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.e)
- self.assertEqual(Expression.fromstring('x - (3-1)y + 3'), self.e)
- self.assertEqual(Expression.fromstring('x - 2*y + 3'), self.e)
+ 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.e, self.e)
+ self.assertEqual(self.expr, self.expr)
self.assertNotEqual(self.x, self.y)
self.assertEqual(self.zero, 0)
- def test_canonify(self):
- self.assertEqual((self.x + self.y/2 + self.z/3)._canonify(),
+ 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 TestHelpers(unittest.TestCase):
+
+class TestConstant(unittest.TestCase):
def setUp(self):
- self.x = symbol('x')
- self.y = symbol('y')
+ self.zero = Constant(0)
+ self.one = Constant(1)
+ self.pi = Constant(Fraction(22, 7))
- def test_constant(self):
- self.assertEqual(constant(3), 3)
- self.assertEqual(constant('3'), 3)
- self.assertEqual(constant(Fraction(3, 4)), Fraction(3, 4))
- self.assertEqual(constant('3/4'), Fraction(3, 4))
- with self.assertRaises(ValueError):
- constant('a')
+ @_requires_sympy
+ def test_fromsympy(self):
+ self.assertEqual(Constant.fromsympy(sympy.Rational(22, 7)), self.pi)
with self.assertRaises(TypeError):
- constant([])
+ Constant.fromsympy(sympy.Symbol('x'))
- def test_symbol(self):
- self.assertEqual(symbol('x'), self.x)
- self.assertNotEqual(symbol('y'), self.x)
- with self.assertRaises(TypeError):
- symbol(0)
+
+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):
class TestPolyhedron(unittest.TestCase):
- pass
+ 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